Ingemar Kaj
Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 32 87
- Mobile phone:
- +46 70 167 93 43
- E-mail:
- Ingemar.Kaj@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Ingemar Kaj at Department of Mathematics; Academic staff
Professor at Department of Mathematics; Probability Theory and Combinatorics
- Telephone:
- +46 18 471 32 87
- Mobile phone:
- +46 70 167 93 43
- E-mail:
- ingemar.kaj@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Short presentation
Research program: Analysis and probability theory/ Professor in mathematical statistics
Research interests: Stochastic processes, stochastic dynamics, random fields, long-range dependence, interacting systems, stochastic models in genetics and evolutionary biology and other application areas.
UPMARC: Chairman of the Board
eSSENCE a national collaboration in e-science: Chair of the Program Council 2011-2015

Publications
Recent publications
Channel capacity and performance analysis of a buffered cellular network
2024
Retransmission performance in a stochastic geometric cellular network model
Part of Performance evaluation (Print), 2024
- DOI for Retransmission performance in a stochastic geometric cellular network model
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A Wright-Fisher graph model and the impact of directional selection on genetic variation
Part of Theoretical Population Biology, p. 13-24, 2024
- DOI for A Wright-Fisher graph model and the impact of directional selection on genetic variation
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A Nearly Neutral Model of Molecular Signatures of Natural Selection after Change in Population Size
Part of Genome Biology and Evolution, 2022
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Synchronization in a self-exciting buffer model
Part of Queueing systems, p. 305-307, 2022
All publications
Articles in journal
Channel capacity and performance analysis of a buffered cellular network
2024
Retransmission performance in a stochastic geometric cellular network model
Part of Performance evaluation (Print), 2024
- DOI for Retransmission performance in a stochastic geometric cellular network model
- Download full text (pdf) of Retransmission performance in a stochastic geometric cellular network model
A Wright-Fisher graph model and the impact of directional selection on genetic variation
Part of Theoretical Population Biology, p. 13-24, 2024
- DOI for A Wright-Fisher graph model and the impact of directional selection on genetic variation
- Download full text (pdf) of A Wright-Fisher graph model and the impact of directional selection on genetic variation
A Nearly Neutral Model of Molecular Signatures of Natural Selection after Change in Population Size
Part of Genome Biology and Evolution, 2022
- DOI for A Nearly Neutral Model of Molecular Signatures of Natural Selection after Change in Population Size
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Synchronization in a self-exciting buffer model
Part of Queueing systems, p. 305-307, 2022
Analysis of diversity-dependent species evolution using concepts in population genetics
Part of Journal of Mathematical Biology, 2021
- DOI for Analysis of diversity-dependent species evolution using concepts in population genetics
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Part of Molecular biology and evolution, p. 260-279, 2020
- DOI for Polymorphism Data Assist Estimation of the Nonsynonymous over Synonymous Fixation Rate Ratio omega for Closely Related Species
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Part of Journal of Theoretical Biology, p. 189-203, 2019
Stochastic equations and limit results for some two-type branching models
Part of Statistics and Probability Letters, p. 35-46, 2019
Part of PloS Computational Biology, 2018
- DOI for Predicting pathogenicity behavior in Escherichia coli population through a state dependent model and TRS profiling
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Positive selection on human gamete-recognition genes
Part of PeerJ, 2018
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Using the Ornstein-Uhlenbeck process to model the evolution of interacting populations
Part of Journal of Theoretical Biology, p. 35-45, 2017
Modeling battery cells under discharge using kinetic and stochastic battery models
Part of Applied Mathematical Modelling, p. 7901-7915, 2016
- DOI for Modeling battery cells under discharge using kinetic and stochastic battery models
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The non-equilibrium allele frequency spectrum in a Poisson random field framework
Part of Theoretical Population Biology, p. 51-64, 2016
Selection on coevolving human gamete recognition genes
Part of Integrative and Comparative Biology, 2016
Why Time Matters: Codon Evolution and the Temporal Dynamics of dN/dS
Part of Molecular biology and evolution, p. 212-231, 2014
Moment measures of heavy-tailed renewal point processes: asymptotics and applications
Part of ESAIM. P&S, p. 567-591, 2013
- DOI for Moment measures of heavy-tailed renewal point processes: asymptotics and applications
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The on-off network traffic model under intermediate scaling
Part of Queueing systems, p. 29-44, 2011
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Self-similar Random Fields and Rescaled Random Balls Models
Part of Journal of theoretical probability, p. 1110-1141, 2010
Self-similar random fields and rescaled random balls models
Part of Journal of theoretical probability, p. 1110-1141, 2010
Scaling limits for random fields with long-range dependence
Part of Annals of Probability, p. 528-550, 2007
On the meaning and existence of an effectve population size
Part of Genetics, p. 1061-1070, 2005
On the meaning and existence of an effective population size.
Part of Genetics, p. 1061-1070, 2005
On the meaning and existence of an effective population size.
Part of Genetics, p. 1061-1070, 2005
The coalescent process in a population of stochastically varying size
Part of J. Applied Probability, p. 33-48, 2003
Modelling the arrival process for packet audio
Part of 2nd international workshop on QoS in Multiservice IP Networks (QoS-IP 2003), Milano, Feb 2003. Springer Lecture Notes in Computer Science, p. 35-49, 2003
Convergence of scaled renewal processes and a packet arrival model
Part of Bernoulli, p. 671-703, 2003
Coalescent theory for seed bank models
Part of Journal of Applied Probability, p. 285-300, 2001
A scaling limit process for the age-reproduction structure in a Markov population
Part of Markov Processes and Related Fields, p. 397-428, 2000
Probability of identity by descent in metapopulations
Part of Genetics, p. 1217-1228, 1999
A sample path large deviation principle for L^2-martingale measure processes
Part of Bulletin des Sciences Mathématiques, p. 467-499, 1999
Limit processes for age-dependent branching particle systems
Part of Journal of theoretical probability, p. 225-257, 1998
Superprocess approximation for a spatially homogeneous branching walk
Part of Electronic Communications in Probability, p. 59-70, 1997
A Schilder type theorem for super-Brownian motion
Part of CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, p. 542-568, 1996
Ultimate value of local time of one-dimensional super-Brownian motion
Part of Stochastic Processes and their Applications, p. 21-42, 1995
The rate function for some measure-valued jump processes
Part of Annals of Probability, p. 1414-1438, 1995
On a first passage problem for branching Brownian motions
Part of The Annals of Applied Probability, p. 173-185, 1993
Positive global solutions of a nonhomogeneous semilinear elliptic equation
Part of Journal de Mathématiques Pures et Appliquées, p. 345-367, 1991
Time reversal and stationarity of infinite-dimensional Markov birth-and-death processes.
Part of Stochastic Processes and their Applications, p. 1-50, 1988
Using multitype branching models to analyze bacterial pathogenicity
Books
Stochastic Modeling in Broadband Communication Systems
SIAM, Philadelphia, PA, 2002
Chapters in book
Limiting fractal random processes in heavy-tailed systems
Part of Fractals in Engineering, New Trends in Theory and Applications, p. 199-218, Springer-Verlag, London, 2005
A weak interaction epidemic among diffusing particles
Part of Stochastic Partial Differential Equations, p. 162-180, 1995
Conference papers
Analytical and stochastic modeling of battery cell dynamics
Part of Analytical and Stochastic Modeling Techniques and Applications, p. 240-254, 2012
- DOI for Analytical and stochastic modeling of battery cell dynamics
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Analytical and stochastic modelling of battery cell dynamics
2012
Probabilistic analysis of hierarchical cluster protocols for wireless sensor networks
Part of Network Control and Optimization, p. 137-151, 2009
Manuscripts (preprints)
Reports
Self-similar random fields and rescaled random balls models
2007
Propagation properties for a message in a Brownian sensor network
2006
A growth model for Brownian sensors
2006
Scaling limit results for the sum of many inverse Lévy subordinators
2004
Throughput modeling and simulation for single connection TCP-Tahoe
2001