Svante Janson
Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 31 88
- E-mail:
- Svante.Janson@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Svante Janson at Department of Mathematics; Academic staff
Professor at Department of Mathematics; Probability Theory and Combinatorics
- Telephone:
- +46 18 471 31 88
- E-mail:
- svante.janson@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
- Academic merits:
- PhD
- CV:
- Download CV
Short presentation
My research is mainly in probability theory, in particular combinatorial probability (mainly random graphs and related topics); occasionally I also do research in analysis, which was my original field.
I have written 4 books and over 300 journal papers. See my list of publications, which also includes a list of my coauthors in alphabetic order. (The automatically generated list below is not complete.)
See also the list of some of my talks.
Graduate students (past and present)
Biography
I am member of The Royal Swedish Academy of Sciences, The Royal Society of Sciences at Uppsala, The Swedish Mathematical Society , Svenska statistikfrämjandet, Vetenskap och Folkbildning.
I am, besides my research, interested in calendars and their mathematics and election methods.
I have earlier participated in, and helped launching, the project Samnordisk runtextdatabas (a data base with runic texts).
Awards:
- Sparre's prize (KVA) 1978
- Göran Gustafsson prize 1992
- Eva och Lars Gårding's prize (Kungl. Fysiografiska sällskapet i Lund) 2009
- Wallenberg Scholar (The Knut and Alice Wallenberg Foundation) 2011
- Rudbeck medal (Uppsala University) 2013
- Celsius medal (Royal Society of Sciences at Uppsala) 2016
My family consists of my wife fru Julie White and our daughter Sofie (born 1995), and our "extra children" Erika (born 1979), Magnus (born 1980), Emma (born 1987), and Jesper (born 1981) that occasionally have lived with us as children.

Publications
Recent publications
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Almost sure and moment convergence for triangular Pólya urns
Part of Electronic Journal of Probability, 2026
- DOI for Almost sure and moment convergence for triangular Pólya urns
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Periodic Minimum in the Count of Binomial Coefficients not Divisible by a Prime
Part of Mathematics of Computation, p. 1987-2012, 2026
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The Generalized Alice HH Vs Bob HT Problem
Part of Journal of theoretical probability, 2025
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Moments of Balanced Pólya Urns
Part of Journal of theoretical probability, 2025
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Fringe Trees for Random Trees With Given Vertex Degrees
Part of Random structures & algorithms (Print), 2025
- DOI for Fringe Trees for Random Trees With Given Vertex Degrees
- Download full text (pdf) of Fringe Trees for Random Trees With Given Vertex Degrees
All publications
Articles in journal
-
Almost sure and moment convergence for triangular Pólya urns
Part of Electronic Journal of Probability, 2026
- DOI for Almost sure and moment convergence for triangular Pólya urns
- Download full text (pdf) of Almost sure and moment convergence for triangular Pólya urns
-
Periodic Minimum in the Count of Binomial Coefficients not Divisible by a Prime
Part of Mathematics of Computation, p. 1987-2012, 2026
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The Generalized Alice HH Vs Bob HT Problem
Part of Journal of theoretical probability, 2025
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Moments of Balanced Pólya Urns
Part of Journal of theoretical probability, 2025
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Fringe Trees for Random Trees With Given Vertex Degrees
Part of Random structures & algorithms (Print), 2025
- DOI for Fringe Trees for Random Trees With Given Vertex Degrees
- Download full text (pdf) of Fringe Trees for Random Trees With Given Vertex Degrees
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Approximation of subgraph counts in the uniform attachment model
Part of Combinatorics, probability & computing, 2025
- DOI for Approximation of subgraph counts in the uniform attachment model
- Download full text (pdf) of Approximation of subgraph counts in the uniform attachment model
-
The critical beta-splitting random tree IV: Mellin analysis of leaf height
Part of Electronic Journal of Probability, 2025
- DOI for The critical beta-splitting random tree IV: Mellin analysis of leaf height
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Bit-array-based alternatives to HyperLogLog
Part of Theoretical Computer Science, 2025
- DOI for Bit-array-based alternatives to HyperLogLog
- Download full text (pdf) of Bit-array-based alternatives to HyperLogLog
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Consistent random vertex-orderings of graphs
Part of Journal of the European Mathematical Society (Print), p. 2623-2652, 2025
- DOI for Consistent random vertex-orderings of graphs
- Download full text (pdf) of Consistent random vertex-orderings of graphs
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Depth-First Search Performance in a Random Digraph with Geometric Outdegree Distribution
Part of MATEMATICA, p. 262-292, 2024
- DOI for Depth-First Search Performance in a Random Digraph with Geometric Outdegree Distribution
- Download full text (pdf) of Depth-First Search Performance in a Random Digraph with Geometric Outdegree Distribution
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Part of La Matematica, p. 435-508, 2024
- DOI for Conditioned Galton–Watson Trees: The Shape Functional, and More on the Sum of Powers of Subtree Sizes and Its Mean
- Download full text (pdf) of Conditioned Galton–Watson Trees: The Shape Functional, and More on the Sum of Powers of Subtree Sizes and Its Mean
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Central limit theorem for components in meandric systems through high moments
Part of Combinatorics, probability & computing, p. 597-610, 2024
- DOI for Central limit theorem for components in meandric systems through high moments
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Part of Electronic Communications in Probability, 2024
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On semi-restricted Rock, Paper, Scissors
Part of The Electronic Journal of Combinatorics, 2024
- DOI for On semi-restricted Rock, Paper, Scissors
- Download full text (pdf) of On semi-restricted Rock, Paper, Scissors
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Quantitative bounds in the central limit theorem for m-dependent random variables
Part of Latin American Journal of Probability and Mathematical Statistics, p. 245-265, 2024
- DOI for Quantitative bounds in the central limit theorem for m-dependent random variables
- Download full text (pdf) of Quantitative bounds in the central limit theorem for m-dependent random variables
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Identities and periodic oscillations of divide-and-conquer recurrences splitting at half
Part of Advances in Applied Mathematics, 2024
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Phragmén's voting methods and justified representation
Part of Mathematical programming, p. 47-76, 2024
- DOI for Phragmén's voting methods and justified representation
- Download full text (pdf) of Phragmén's voting methods and justified representation
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The number of descendants in a random directed acyclic graph
Part of Random structures & algorithms (Print), p. 768-803, 2024
- DOI for The number of descendants in a random directed acyclic graph
- Download full text (pdf) of The number of descendants in a random directed acyclic graph
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On a central limit theorem in renewal theory
Part of Statistics and Probability Letters, 2024
- DOI for On a central limit theorem in renewal theory
- Download full text (pdf) of On a central limit theorem in renewal theory
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Part of Palestine Journal of Mathematics, p. 512-520, 2023
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Fluctuations of subgraph counts in graphon based random graphs
Part of Combinatorics, probability & computing, p. 428-464, 2023
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Fluctuations of balanced urns with infinitely many colours
Part of Electronic Journal of Probability, p. 1-72, 2023
- DOI for Fluctuations of balanced urns with infinitely many colours
- Download full text (pdf) of Fluctuations of balanced urns with infinitely many colours
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Part of Advances in Applied Probability, p. 841-894, 2023
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The number of occurrences of patterns in a random tree or forest permutation
Part of The Electronic Journal of Combinatorics, 2023
- DOI for The number of occurrences of patterns in a random tree or forest permutation
- Download full text (pdf) of The number of occurrences of patterns in a random tree or forest permutation
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Estimating global subgraph counts by sampling
Part of The Electronic Journal of Combinatorics, 2023
- DOI for Estimating global subgraph counts by sampling
- Download full text (pdf) of Estimating global subgraph counts by sampling
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Unicellular maps vs. hyperbolic surfaces in large genus: Simple closed curves
Part of Annals of Probability, p. 899-929, 2023
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Continuous-time digital search tree and a border aggregation model
Part of Bernoulli, p. 2563-2577, 2022
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The sum of powers of subtree sizes for conditioned Galton-Watson trees
Part of Electronic Journal of Probability, 2022
- DOI for The sum of powers of subtree sizes for conditioned Galton-Watson trees
- Download full text (pdf) of The sum of powers of subtree sizes for conditioned Galton-Watson trees
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Central limit theorems for additive functionals and fringe trees in tries
Part of Electronic Journal of Probability, p. 1-63, 2022
- DOI for Central limit theorems for additive functionals and fringe trees in tries
- Download full text (pdf) of Central limit theorems for additive functionals and fringe trees in tries
-
Successive minimum spanning trees
Part of Random structures & algorithms (Print), p. 126-172, 2022
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Part of European journal of combinatorics (Print), 2022
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Minimal matchings of point processes
Part of Probability theory and related fields, p. 571-611, 2022
- DOI for Minimal matchings of point processes
- Download full text (pdf) of Minimal matchings of point processes
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The distance profile of rooted and unrooted simply generated trees
Part of Combinatorics, probability & computing, p. 368-410, 2022
- DOI for The distance profile of rooted and unrooted simply generated trees
- Download full text (pdf) of The distance profile of rooted and unrooted simply generated trees
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Short cycles in high genus unicellular maps
Part of Annales de l'I.H.P. Probabilites et statistiques, p. 1547-1564, 2022
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Can smooth graphons in several dimensions be represented by smooth graphons on [0, 1]?
Part of EXAMPLES AND COUNTEREXAMPLES, 2021
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Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions
Part of Mathematische Nachrichten, p. 1484-1522, 2021
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Preferential attachment without vertex growth: Emergence of the giant component
Part of The Annals of Applied Probability, p. 1523-1547, 2021
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On general subtrees of a conditioned Galton-Watson tree
Part of Electronic Communications in Probability, 2021
- DOI for On general subtrees of a conditioned Galton-Watson tree
- Download full text (pdf) of On general subtrees of a conditioned Galton-Watson tree
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TO FIXATE OR NOT TO FIXATE IN TWO-TYPE ANNIHILATING BRANCHING RANDOM WALKS
Part of Annals of Probability, p. 2637-2667, 2021
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On the probability that a binomial variable is at most its expectation
Part of Statistics and Probability Letters, 2021
- DOI for On the probability that a binomial variable is at most its expectation
- Download full text (pdf) of On the probability that a binomial variable is at most its expectation
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Tree limits and limits of random trees
Part of Combinatorics, probability & computing, p. 849-893, 2021
- DOI for Tree limits and limits of random trees
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On distance covariance in metric and Hilbert spaces
Part of Latin American Journal of Probability and Mathematical Statistics, p. 1353-1393, 2021
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The Space D in Several Variables: Random Variables and Higher Moments
Part of Mathematica Scandinavica, p. 544-584, 2021
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Hidden Words Statistics for Large Patterns
Part of The Electronic Journal of Combinatorics, 2021
- DOI for Hidden Words Statistics for Large Patterns
- Download full text (pdf) of Hidden Words Statistics for Large Patterns
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A.s. convergence for infinite colour Pólya urns associated with random walks
Part of Arkiv för matematik, p. 87-123, 2021
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On the independence number of some random trees
Part of Electronic Communications in Probability, 2020
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Asymptotic normality in random graphs with given vertex degrees
Part of Random structures & algorithms (Print), p. 1070-1116, 2020
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Mean and variance of balanced Pólya urns
Part of Advances in Applied Probability, p. 1224-1248, 2020
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Rate of convergence for traditional Polya urns
Part of Journal of Applied Probability, p. 1029-1044, 2020
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Strong convergence of infinite color balanced urns under uniform ergodicity
Part of Journal of Applied Probability, p. 853-865, 2020
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Random graphs with given vertex degrees and switchings
Part of Random structures & algorithms (Print), p. 3-31, 2020
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Part of Discrete Mathematics, 2020
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Patterns in Random Permutations Avoiding Some Sets of Multiple Patterns
Part of Algorithmica, p. 616-641, 2020
- DOI for Patterns in Random Permutations Avoiding Some Sets of Multiple Patterns
- Download full text (pdf) of Patterns in Random Permutations Avoiding Some Sets of Multiple Patterns
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The hiring problem with rank-based strategies
Part of Electronic Journal of Probability, 2019
- DOI for The hiring problem with rank-based strategies
- Download full text (pdf) of The hiring problem with rank-based strategies
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Random replacements in Polya urns with infinitely many colours
Part of Electronic Communications in Probability, 2019
- DOI for Random replacements in Polya urns with infinitely many colours
- Download full text (pdf) of Random replacements in Polya urns with infinitely many colours
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Preferential attachment when stable
Part of Advances in Applied Probability, p. 1067-1108, 2019
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A piecewise contractive dynamical system and Phragmèn's election method
Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019
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Competing first passage percolation on random graphs with finite variance degrees
Part of Random structures & algorithms (Print), p. 545-559, 2019
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Patterns in random permutations avoiding the pattern 321
Part of Random structures & algorithms (Print), p. 249-270, 2019
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Component structure of the configuration model: Barely supercritical case
Part of Random structures & algorithms (Print), p. 3-55, 2019
- DOI for Component structure of the configuration model: Barely supercritical case
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Inversions in Split Trees and Conditional Galton-Watson Treest
Part of Combinatorics, probability & computing, p. 335-364, 2019
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A modified bootstrap percolation on a random graph coupled with a lattice
Part of Discrete Applied Mathematics, p. 152-165, 2019
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Long Term Behaviour of a Reversible System of Interacting Random Walks
Part of Journal of statistical physics, p. 71-96, 2019
- DOI for Long Term Behaviour of a Reversible System of Interacting Random Walks
- Download full text (pdf) of Long Term Behaviour of a Reversible System of Interacting Random Walks
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Competition in growth and urns
Part of Random structures & algorithms (Print), p. 211-227, 2019
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Random Recursive Trees and Preferential Attachment Trees are Random Split Trees
Part of Combinatorics, probability & computing, p. 81-99, 2019
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Renewal theory for asymmetric U-statistics
Part of Electronic Journal of Probability, 2018
- DOI for Renewal theory for asymmetric U-statistics
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On the critical probability in percolation
Part of Electronic Journal of Probability, 2018
- DOI for On the critical probability in percolation
- Download full text (pdf) of On the critical probability in percolation
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Moment convergence of balanced Polya processes
Part of Electronic Journal of Probability, 2018
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Asymptotics Of Fluctuations In Crump-Mode-Jagers Processes: The Lattice Case
Part of Advances in Applied Probability, p. 141-171, 2018
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Sesqui-type branching processes
Part of Stochastic Processes and their Applications, p. 3628-3655, 2018
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On Edge Exchangeable Random Graphs
Part of Journal of statistical physics, p. 448-484, 2018
- DOI for On Edge Exchangeable Random Graphs
- Download full text (pdf) of On Edge Exchangeable Random Graphs
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Non-fringe subtrees in conditioned Galton-Watson trees
Part of The Electronic Journal of Combinatorics, 2018
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Tail bounds for sums of geometric and exponential variables
Part of Statistics and Probability Letters, p. 1-6, 2018
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Graph properties, graph limits, and entropy
Part of Journal of Graph Theory, p. 208-229, 2018
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Fringe trees, Crump-Mode-Jagers branching processes and m-ary search trees
Part of Probability Surveys, p. 53-154, 2017
- DOI for Fringe trees, Crump-Mode-Jagers branching processes and m-ary search trees
- Download full text (pdf) of Fringe trees, Crump-Mode-Jagers branching processes and m-ary search trees
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On String Graph Limits and the Structure of a Typical String Graph
Part of Journal of Graph Theory, p. 386-407, 2017
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Patterns in Random Permutations Avoiding the Pattern 132
Part of Combinatorics, probability & computing, p. 24-51, 2017
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The Greedy Independent Set in a Random Graph with Given Degrees
Part of Random structures & algorithms (Print), p. 565-586, 2017
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Part of ACM Transactions on Algorithms, 2017
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Part of The Electronic Journal of Combinatorics, 2017
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Packing Random Graphs and Hypergraphs
Part of Random structures & algorithms (Print), p. 3-13, 2017
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Near-critical SIR epidemic on a random graph with given degrees
Part of Journal of Mathematical Biology, p. 843-886, 2017
- DOI for Near-critical SIR epidemic on a random graph with given degrees
- Download full text (pdf) of Near-critical SIR epidemic on a random graph with given degrees
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On the Length of a Random Minimum Spanning Tree
Part of Combinatorics, probability & computing, p. 89-107, 2016
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Asymptotic Normality of Fringe Subtrees and Additive Functionals in Conditioned Galton-Watson Trees
Part of Random structures & algorithms (Print), p. 57-101, 2016
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The lower tail: Poisson approximation revisited
Part of Random structures & algorithms (Print), p. 219-246, 2016
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Graph limits and hereditary properties
Part of European journal of combinatorics (Print), p. 321-337, 2016
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The inverse first-passage problem and optimal stopping
Part of The Annals of Applied Probability, p. 3154-3177, 2016
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Part of Advances in Applied Probability, p. 145-152, 2016
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On a representation theorem for finitely exchangeable random vectors
Part of Journal of Mathematical Analysis and Applications, p. 703-714, 2016
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A Unified Approach to Linear Probing Hashing with Buckets
Part of Algorithmica, p. 724-781, 2016
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Asymptotic distribution of two-protected nodes in ternary search trees
Part of Electronic Journal of Probability, 2015
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Limit laws for functions of fringe trees for binary search trees and random recursive trees
Part of Electronic Journal of Probability, 2015
- DOI for Limit laws for functions of fringe trees for binary search trees and random recursive trees
- Download full text (pdf) of Limit laws for functions of fringe trees for binary search trees and random recursive trees
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On the tails of the limiting Quicksort distribution
Part of Electronic Communications in Probability, p. 1-7, 2015
- DOI for On the tails of the limiting Quicksort distribution
- Download full text (pdf) of On the tails of the limiting Quicksort distribution
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On the asymptotic statistics of the number of occurrences of multiple permutation patterns
Part of Journal of Combinatorics, p. 117-143, 2015
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Scaling limits of random planar maps with a unique large face
Part of Annals of Probability, p. 1045-1081, 2015
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Maximal clades in random binary search trees
Part of The Electronic Journal of Combinatorics, 2015
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More on quasi-random graphs, subgraph counts and graph limits
Part of European journal of combinatorics (Print), p. 134-160, 2015
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Superboolean rank and the size of the largest triangular submatrix of a random matrix
Part of Proceedings of the American Mathematical Society, p. 407-418, 2015
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Feynman-Kac Theorems for Generalized Diffusions
Part of Transactions of the American Mathematical Society, p. 8051-8070, 2015
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Part of The Annals of Applied Probability, p. 3571-3591, 2015
- DOI for Asymptotic Distribution Of The Maximum Interpoint Distance In A Sample Of Random Vectors With A Spherically Symmetric Distribution
- Download full text (pdf) of Asymptotic Distribution Of The Maximum Interpoint Distance In A Sample Of Random Vectors With A Spherically Symmetric Distribution
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ON DEGENERATE SUMS OF m-DEPENDENT VARIABLES
Part of Journal of Applied Probability, p. 1146-1155, 2015
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Higher moments of Banach space valued random variables
Part of Memoirs of the American Mathematical Society, p. 1-110, 2015
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First critical probability for a problem on random orientations in G(n,p)
Part of Electronic Journal of Probability, p. 69, 2014
- DOI for First critical probability for a problem on random orientations in G(n,p)
- Download full text (pdf) of First critical probability for a problem on random orientations in G(n,p)
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Bootstrap percolation on Galton-Watson trees
Part of Electronic Journal of Probability, p. 1-27, 2014
- DOI for Bootstrap percolation on Galton-Watson trees
- Download full text (pdf) of Bootstrap percolation on Galton-Watson trees
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Protected nodes and fringe subtrees in some random trees
Part of Electronic Communications in Probability, p. 1-10, 2014
- DOI for Protected nodes and fringe subtrees in some random trees
- Download full text (pdf) of Protected nodes and fringe subtrees in some random trees
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Graphs where every k-subset of vertices is an identifying set
Part of Discrete Mathematics & Theoretical Computer Science, p. 73-88, 2014
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Law of Large Numbers for the SIR Epidemic on a Random Graph with Given Degrees
Part of Random structures & algorithms (Print), p. 724-761, 2014
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Asymptotic bias of some election methods
Part of Annals of Operations Research, p. 89-136, 2014
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Weighted Random Staircase Tableaux
Part of Combinatorics, probability & computing, p. 1114-1147, 2014
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On the Spread of Random Graphs
Part of Combinatorics, probability & computing, p. 477-504, 2014
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On the Typical Structure of Graphs in a Monotone Property
Part of The Electronic Journal of Combinatorics, 2014
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On Symmetry of Uniform and Preferential Attachment Graphs
Part of The Electronic Journal of Combinatorics, 2014
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The probability that a rqandom multigraph is simple II
Part of Journal of Applied Probability, p. 123-137, 2014
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Graphons, cut norm and distance, couplings and rearrangements
Part of New York Journal of Mathematics, 2013
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Euler-Frobenius numbers and rounding
Part of Online Journal of Analytic Combinatorics, 2013
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Moments of the location of the maximum of Brownian motion with parabolic drift
Part of Electronic Communications in Probability, p. 1-8, 2013
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Coupon collecting and transversals of hypergraphs
Part of Discrete Mathematics & Theoretical Computer Science, p. 259-270, 2013
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Sub-Gaussian tail bounds for the width and height of conditioned Galton–Watson trees
Part of Annals of Probability, p. 1072-1087, 2013
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Can time-homogeneous diffusions produce any distribution?
Part of Probability theory and related fields, p. 493-520, 2013
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Part of Annals of Combinatorics, p. 27-52, 2013
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Note on a partition limit theorem for rank and crank
Part of Bulletin of the London Mathematical Society, p. 551-553, 2013
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An example of graph limits of growing sequences of random graphs
Part of Journal of Combinatorics, p. 67-80, 2013
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The number of bit comparisons used by Quicksort: an average-case analysis
Part of Electronic Journal of Probability, p. 43, 2012
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Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
Part of Probability Surveys, p. 103-252, 2012
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The probability of the Alabama paradox
Part of Journal of Applied Probability, p. 773-794, 2012
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Generalized Galois numbers, inversions, lattice paths, Ferrers diagrams and limit theorems
Part of The Electronic Journal of Combinatorics, 2012
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Phase transitions for modified Erdős–Rényi processes
Part of Arkiv för matematik, p. 305-329, 2012
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Hitting Times for Random Walks with Restarts
Part of SIAM Journal on Discrete Mathematics, p. 537-547, 2012
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Renewal theory in the analysis of tries and strings
Part of Theoretical Computer Science, p. 33-54, 2012
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Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf
Part of The Electronic Journal of Combinatorics, 2012
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Bootstrap percolation on the random graph Gn,p
Part of The Annals of Applied Probability, p. 1989-2047, 2012
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Susceptibility in inhomogeneous random graphs
Part of The Electronic Journal of Combinatorics, 2012
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Monotone graph limits and quasimonotone graphs
Part of Internet Mathematics, p. 187-231, 2012
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On the total external length of the Kingman coalescent
Part of Electronic Journal of Probability, p. 2203-2218, 2011
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A central limit theorem for random ordered factorizations of integers
Part of Electronic Journal of Probability, p. 347-361, 2011
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Quasi-random graphs and graph limits
Part of European journal of combinatorics (Print), p. 1054-1083, 2011
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Generalized Stirling permutations, families of increasing trees and urn models
Part of Journal of combinatorial theory. Series A (Print), p. 94-114, 2011
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Distances Between Pairs of Vertices and Vertical Profile in Conditioned Galton-Watson Trees
Part of Random structures & algorithms (Print), p. 381-395, 2011
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Duality in Inhomogeneous Random Graphs, and the Cut Metric
Part of Random structures & algorithms (Print), p. 399-411, 2011
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On Covering by Translates of a Set
Part of Random structures & algorithms (Print), p. 33-67, 2011
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Upper tails for counting objects in randomly induced subhypergraphs and rooted random graphs
Part of Arkiv för matematik, p. 79-96, 2011
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Sparse Random Graphs with Clustering
Part of Random structures & algorithms (Print), p. 269-323, 2011
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The Mahonian probability distribution on words is asymptotically normal
Part of Advances in Applied Mathematics, p. 109-124, 2011
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On Vertex, Edge, and Vertex-Edge Random Graphs
Part of The Electronic Journal of Combinatorics, 2011
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Long and short paths in uniform random recursive dags
Part of Arkiv för matematik, p. 61-77, 2011
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Poset limits and exchangeable random posets
Part of Combinatorica, p. 529-563, 2011
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Random trees with superexponential branching weights
Part of Journal of Physics A, p. 485002, 2011
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Correlations for Paths in Random Orientations of G(n, p) and G(n, m)
Part of Random structures & algorithms (Print), p. 486-506, 2011
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Absolutely continuous compensators
Part of International Journal of Theoretical and Applied Finance, p. 335-351, 2011
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Part of Science, p. 298-299, 2011
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The maximum of Brownian motion with parabolic drift
Part of Electronic Journal of Probability, p. 1893-1929, 2010
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A divergent generating function that can be summed and analysed analytically
Part of Discrete Mathematics & Theoretical Computer Science, p. 1-22, 2010
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Moments of gamma type and the Brownian supremum process area
Part of Probability Surveys, p. 1-52, 2010
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On the Number of Perfect Matchings in Random Lifts
Part of Combinatorics, probability & computing, p. 791-817, 2010
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Asymptotic Equivalence and Contiguity of Some Random Graphs
Part of Random structures & algorithms (Print), p. 26-45, 2010
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The Cut Metric, Random Graphs, and Branching Processes
Part of Journal of statistical physics, p. 289-335, 2010
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Large cliques in a power-law random graph
Part of Journal of Applied Probability, p. 1124-1135, 2010
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Random Graphs with Forbidden Vertex Degrees
Part of Random structures & algorithms (Print), p. 137-175, 2010
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Susceptibility of random graphs with given vertex degrees
Part of Journal of Combinatorics, p. 357-387, 2010
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On percolation in random graphs with given vertex degrees
Part of Electronic Journal of Probability, p. 87-118, 2009
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A functional combinatorial central limit theorem
Part of Electronic Journal of Probability, p. 2352-2370, 2009
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Zeros of sections of the binomial expansion
Part of Electronic Transactions on Numerical Analysis, p. 27-38, 2009
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Standard representation of multivariate functions on a general probability space
Part of Electronic Communications in Probability, p. 343-346, 2009
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A new approach to the giant component problem
Part of Random structures & algorithms (Print), p. 197-216, 2009
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Sorting using complete subintervals and the maximum number of runs in a randomly evolving sequence
Part of Annals of Combinatorics, p. 417-447, 2009
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The probability that a random multigraph is simple
Part of Combinatorics, probability & computing, p. 205-225, 2009
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Precise logarithmic asymptotics for the right tails of some limit random variables for random trees
Part of Annals of Combinatorics, p. 403-416, 2009
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Part of Combinatorics, probability & computing, p. 83-106, 2009
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On the size of identifying codes in binary hypercubes
Part of Journal of combinatorial theory. Series A (Print), p. 1087-1096, 2009
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Part of The Electronic Journal of Combinatorics, 2009
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Convergence of some leader election algorithms
Part of Discrete Mathematics & Theoretical Computer Science, p. 171-196, 2008
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Asymptotic normality of the k-core in random graphs
Part of The Annals of Applied Probability, p. 1085-1137, 2008
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A functional limit theorem for the profile of search trees
Part of The Annals of Applied Probability, p. 288-233, 2008
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Graph limits and exchangeable random graphs
Part of Rendiconti di Matematica e delle sue Applicazioni. Serie VII, p. 33-61, 2008
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Dismantling sparse random graphs
Part of Combinatorics, probability & computing, p. 259-264, 2008
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Local limit theorems for finite and infinite urn models
Part of Annals of Probability, p. 992-1022, 2008
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Susceptibility in subcritical random graphs
Part of Journal of Mathematical Physics, p. 125207, 2008
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The largest component in a subcritical random graph with a power law degree distribution
Part of The Annals of Applied Probability, p. 1651-1668, 2008
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The size of random fragmentation trees
Part of Probability theory and related fields, p. 399-442, 2008
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On the asymptotic joint distribution of height and width in random trees
Part of Studia scientiarum mathematicarum Hungarica (Print), p. 451-467, 2008
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Individual displacements in hashing with coalesced chains
Part of Combinatorics, probability & computing, p. 799-814, 2008
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Threshold graph limits and random threshold graphs
Part of Internet Mathematics, p. 267-320, 2008
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Tail estimates for the Brownian excursion area and other Brownian areas
Part of Electronic Journal of Probability, p. 1600-1632, 2007
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Brownian excursion area, Wright's constants in graph enumeration, and other Brownian areas
Part of Probability Surveys, p. 80-145, 2007
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Partial fillup and search time in LC tries
Part of ACM Transactions on Algorithms, 2007
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Part of Random structures & algorithms (Print), p. 239-246, 2007
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Monotonicity, asymptotic normality and vertex degrees in random graphs
Part of Bernoulli, p. 952-965, 2007
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Graphs with specified degree distributions, simple epidemics and local vaccination strategies
Part of Advances in Applied Probability, p. 922-948, 2007
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On a random graph related to quantum theory
Part of Combinatorics, probability & computing, p. 757-766, 2007
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A point process describing the component sizes in the critical window of the random graph evolution
Part of Combinatorics, probability & computing, p. 631-658, 2007
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The phase transition in inhomogeneous random graphs
Part of Random structures & algorithms (Print), p. 3-122, 2007
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A simple solution to the k-core problem
Part of Random structures & algorithms (Print), p. 50-62, 2007
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Rainbow Hamilton cycles in random regular graphs
Part of Random structures & algorithms (Print), p. 35-49, 2007
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Rounding of continuous random variables and oscillatory asymptotics
Part of Annals of Probability, p. 1807-1826, 2006
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Part of The Annals of Applied Probability, p. 2195-2214, 2006
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The density of the ISE and local limit laws for embedded trees
Part of The Annals of Applied Probability, p. 1597-1632, 2006
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Random cutting and records in deterministic and random trees
Part of Random structures & algorithms (Print), p. 139-179, 2006
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Left and right pathlengths in random binary trees
Part of Algorithmica, p. 419-429, 2006
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Congruence properties of depths in some random trees
Part of ALEA. Latin American Journal of Probability and Mathematical Statistics, p. 347-366, 2006
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Feynman-Kac formulas for Black-Scholes type operators
Part of Bull. London Math. Soc., p. 269-282, 2006
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Superreplication of options on several underlying assets
Part of Journal of Applied Probability, p. 27-38, 2005
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Limit theorems for triangular urn schemes
Part of Probability Theory and Related Fields, p. 417-452, 2005
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Some remarks on the combinatorics of IS_n
Part of Semigroup Forum 70, p. 391-405, 2005
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Asymptotic degree distribution in random recursive trees
Part of Random Structures Algorithms, p. 69-83, 2005
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Individual displacements for linear probing hashing with different insertion policies.
Part of ACM Transactions on Algorithms, p. 177-213, 2005
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The first eigenvalue of random graphs
Part of Combin. Probab. Comput., p. 815-825, 2005
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The phase transition in the uniformly grown random graph has infinite order
Part of Random Structures Algorithms, p. 1-36, 2005
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Convergence of discrete snakes
Part of J. Theor. Probab, p. 615-645, 2005
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Convergence of coined quantum walks on R^d
Part of Infin. Dimens. Anal. Quantum Probab. Relat. Top., p. 129-140, 2005
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Branching processes, and random-cluster measures on trees.
Part of J. Eur. Math. Soc., p. 253-281, 2005
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Functional limit theorems for multitype branching processes
Part of Stoch. Proc. Appl., p. 177-245, 2004
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Upper tails for subgraph counts in random graphs
Part of Israel Journal of Mathematics, p. 61-92, 2004
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Robust reconstruction on trees is determined by the second eigenvalue
Part of Ann. Probab., p. 2630-2649, 2004
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Part of Journal of the Iranian Statistical Society, p. 149-164, 2004
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On the average sequence complexity
Part of Theoretical Computer Science A, p. 213-227, 2004
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Large deviations for sums of partly dependent random variables
Part of Random Struct. Alg., p. 234-248, 2004
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Rademacher chaos: tail estimates vs limit theorems
Part of Ark. Mat. 42, p. 13-29, 2004
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On generalized random railways
Part of Combin. Probab. Comput., p. 31-35, 2004
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The deletion method for upper tail estimates.
Part of Combinatorica, p. 615-640, 2004
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The center of mass of the ISE and the Wiener index of trees
Part of Electronic Comm. Probab., p. 178-187, 2004
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Weak limits for quantum random walks
Part of Phys. Rev. E,, 2004
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Preservation of convexity of solutions to parabolic equations
Part of J. Diff. Eqs. 206 (2004), 182-226., p. 182-226, 2004
Conference papers
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Bit-Array-Based Alternatives to HyperLogLog
Part of 35th International Conference On Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, AOFA 2024, 2024
- DOI for Bit-Array-Based Alternatives to HyperLogLog
- Download full text (pdf) of Bit-Array-Based Alternatives to HyperLogLog
-
Depth-First Search Performance in Random Digraphs
Part of 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, AOFA 2024, p. 1-15, 2024
- DOI for Depth-First Search Performance in Random Digraphs
- Download full text (pdf) of Depth-First Search Performance in Random Digraphs
-
Fringe Trees for Random Trees with Given Vertex Degrees
Part of 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024), 2024
- DOI for Fringe Trees for Random Trees with Given Vertex Degrees
- Download full text (pdf) of Fringe Trees for Random Trees with Given Vertex Degrees
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Depth-First Search Performance in a Random Digraph with Geometric Degree Distribution
Part of 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022), 2022
- DOI for Depth-First Search Performance in a Random Digraph with Geometric Degree Distribution
- Download full text (pdf) of Depth-First Search Performance in a Random Digraph with Geometric Degree Distribution
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Phragmen's Voting Methods and Justified Representation
Part of Thirty-First AAAI Conference On Artificial Intelligence, p. 406-413, 2017
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Asymptotic normality of statistics on permutation tableaux
Part of Algorithmic Probability and Combinatorics, p. 83-104, 2010
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Plane recursive trees, Stirling permutations and an urn model
Part of Proceedings, Fifth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities (Blaubeuren, 2008), p. 541-548, 2008
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Part of DMTCS Proceedings AofA 2007, 2007
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Complex interpolation of compact operators into the couple (FL^oo,FL_1^oo)
Part of Interpolation Theory and Applications, 2007
-
Conditioned Galton-Watson trees do not grow
Part of Fourth Colloquium on Mathematics and Computer Science, 2006
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Random records and cuttings in complete binary trees
Part of Mathematics and Computer Science III, 2004
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The number of bit comparisons used by Quicksort: an average-case analysis
Part of Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete, 2004
Manuscripts (preprints)
Reports
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Proportionella val inom kommunfullmäktige
2019
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Absolutely Continuous Compensators
2010
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Moments of Gamma type and the Brownian supremum process area
2010
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The maximum of Brownian motion with parabolic drift
2010
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Hitting times for random walks with restarts
2010
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Sub-Gaussian tail bounds for the width and height of conditioned Galton–Watson trees
2010
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Bootstrap percolation on the random graph Gn,p
2010
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Graphons, cut norm and distance, couplings and rearrangements
2010
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Phase transitions for modified Erdös-Rényi processes
2010
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Graphs where every k-subset of vertices is an identifying set
2009
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THE MAHONIAN PROBABILITY DISTRIBUTION ON WORDS IS ASYMPTOTICALLY NORMAL
2009
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ON THE SPREAD OF SUPERCRITICAL RANDOM GRAPHS
2009
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The cut metric, random graphs, and branching processes
2009
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Zeros of Sections of the Binomial Expansion
2009
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On covering by translates of a set
2009
-
Renewal theory in analysis of tries and string
2009
-
Sparse random graphs with clustering
2008
-
Plane recursive trees, stirling permutations and an urn model
2008
-
On percolation in random graphs with given vertex degrees
2008
-
2008
-
Generalized stirling permutations, families of increasing trees and urn models
2008
-
Susceptibility in subcritical random graph
2008
-
On the Size of Identifying Codes in Binary Hypercubes
2008
-
Convergence of some leader election algorithms
2008
-
Asymptotic equivalence and contiguity of some random graphs
2008
-
On vertex, edge, and vertex-edge random graph
2008
-
Distances between pairs of vertices and vertical profile in conditioned galton–watson tree
2008
-
Standard representation of multivariate functions on a general probability space
2008
-
2007
-
Standard representation of multivariate functions on a general probability space
2007
-
Random even graphs and the Ising model
2007
-
Random graphs with forbidden vertex degrees
2007
-
Graph limits and exchangeable random graphs
2007
-
Precise logarithmic asymptotics for the right tails of some limit random variables for random trees
2007
-
The largest component in a subcritical random graph with a power law degree distribution
2007
-
A new approach to the giant component problem
2007
-
Tail estimates for the Brownian excursion area and other Brownian areas
2007
-
The integral of the supremum process of Brownian motion
2007
-
Graphs with specified degree distributions, simple epidemics and local vaccination strategies
2007
-
Asymptotic normality of the k-core in random graphs
2007
-
Sorting using complete subintervals and the maximum number of runs in a randomly evolving sequence
2007
-
Dismantling sparse random graphs
2007
-
The probability that a random multigraph is simple
2006
-
A Functional Limit Theorem for The Profile of Search Trees
2006
-
On a random graph related to quantum theory
2006
-
Monotonicity, asymptotic normality and vertex degrees in random graphs
2006
-
Local limit theorems for finite and infinite urn models
2006
-
The density of the ISE and local limit laws for embedded trees
2005
-
Individual displacements in hashing with coalesced chains
2005
-
Partial Fillup and Search Time in LC Tries
2005
-
The phase transition in inhomogeneous random graphs
2005
-
A point process describing the component sizes in the critical window of the random graph evolution
2005
-
Rainbow Hamilton cycles in random regular graphs
2005
-
Congruence properties of depths in some random trees
2005
-
A simple solution to the k-core problem
2005
-
Feynman-Kac formulas for Black-Scholes type operators
2004
-
Left and right pathlenghts in random binary trees
2004
-
Convergence of coined quantum walks on R^d
2004
-
Some remarks on the combinatorics of ISn
2004
-
Random cutting and records in deterministic and random trees
2004
-
Limit theorems for triangular urn schemes
2004
-
On the asymptotic joint distribution of height and width in random trees
2004
-
Rounding of continuous random variables and oscillatory asymptotics
2004
-
Branching processes, and random-cluster measures on trees
2004
-
Sorting with unreliable comparisons: a probabilistic analysis
2003
-
On the average sequence complexity
2003
-
2003
-
Weak limits for quantum random walks
2003
-
The center of mass of the ISE and the Wiener index of trees
2003
-
The first eigenvalue of random graphs
2003
-
Superreplication of options on several underlying assets
2003
-
Individual displacements for linear probing hashing with different insertion policies
2003
-
Preservation of Convexity of Solutions to Parabolic Equations
2003
-
Asymptotic degree distribution in random recursive trees
2003
-
Functional limit theorems for multitype branching processes and generalized Pólya urns
2003