Publications in Dynamical Systems and Number Theory
Below are our last 50 research publications. For a complete and filterable list see the university's publication database DiVA.
The discrete analogue of the Gaussian
Part of Journal of Physics A, 2025
Article in journal
- DOI for The discrete analogue of the Gaussian
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A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
Part of Nonlinearity, 2025
Article in journal
- DOI for A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
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Generalized Lyapunov exponents and aspects of the theory of deep learning
Part of New Trends in Lyapunov Exponents, p. 99-118, 2023
Conference paper
- DOI for Generalized Lyapunov exponents and aspects of the theory of deep learning
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Elements of a metric spectral theory
Part of Dynamics, Geometry and Number Theory, p. 276-300, University of Chicago Press, 2022
Chapter in book
Part of Discrete and Continuous Models in the Theory of Networks, p. 199-211, Birkhäuser, 2020
Chapter in book
The Boltzmann-Grad Limit of the Lorentz Gas in a Union of Lattices
Part of Communications in Mathematical Physics, 2024
Article in journal
- DOI for The Boltzmann-Grad Limit of the Lorentz Gas in a Union of Lattices
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The Number of Relative Equilibria in the PCR4BP
Part of Journal of Dynamics and Differential Equations, p. 2827-2877, 2024
Article in journal
- DOI for The Number of Relative Equilibria in the PCR4BP
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Part of Journal of nonlinear science, 2025
Article in journal
- DOI for Sun-Jupiter-Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem
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The Parametrix Construction of the Heat Kernel on a Graph
Part of Complex Analysis and Operator Theory, 2024
Article in journal
Complex Variables Functions: The stars at infinity in several complex variables
Part of Rendiconti Lincei - Matematica e Applicazioni, p. 49-75, 2024
Article in journal
- DOI for Complex Variables Functions: The stars at infinity in several complex variables
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Uniform quasi-multiplicativity of locally constant cocycles and applications
Part of Studia Mathematica, p. 85-98, 2024
Article in journal
Part of SIAM Journal on Mathematical Analysis, p. 4356-4374, 2024
Article in journal
Part of Physica D, 2024
Article in journal
- DOI for A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems
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The resolvent kernel on the discrete circle and twisted cosecant sums
Part of Journal of Mathematical Analysis and Applications, 2024
Article in journal
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Part of Advances in Mathematics, 2024
Article in journal
- DOI for Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
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A Metric Fixed Point Theorem and Some of Its Applications
Part of Geometric and Functional Analysis, p. 486-511, 2024
Article in journal
- DOI for A Metric Fixed Point Theorem and Some of Its Applications
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Highest cusped waves for the fractional KdV equations
Part of Journal of Differential Equations, p. 550-670, 2024
Article in journal
- DOI for Highest cusped waves for the fractional KdV equations
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Manuscript (preprint)
Computer assisted proofs for hyperbolic quasi-periodic invariant tori in dissipative twist maps
Manuscript (preprint)
Computer Assisted Studies in Fluid Mechanics and Spectral Geometry
2023
Licentiate thesis, comprehensive summary
Volumes of spheres and special values of zeta functions of Z and Z/nZ
Part of Acta Arithmetica, p. 161-170, 2023
Article in journal
Deep Limits and a Cut-Off Phenomenon for Neural Networks
Part of Journal of machine learning research, 2022
Article in journal
A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
Part of Proceedings of the London Mathematical Society, p. 778-824, 2022
Article in journal
- DOI for A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
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Golden mean siegel disk universality and renormalization
Part of Moscow Mathematical Journal, p. 451-491, 2022
Article in journal
2022
Doctoral thesis, comprehensive summary
Universality but no rigidity for two-dimensional perturbations of almost commuting pairs
Manuscript (preprint)
On the geometry of period doubling invariant sets for area-preserving maps
Manuscript (preprint)
Comments on the cosmic convergence of nonexpansive maps
Part of Journal of Fixed Point Theory and Applications, 2021
Article in journal
- DOI for Comments on the cosmic convergence of nonexpansive maps
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From linear to metric functional analysis
Part of Proceedings of the National Academy of Sciences of the United States of America, 2021
Article in journal
Hahn-Banach for metric functionals and horofunctions
Part of Journal of Functional Analysis, 2021
Article in journal
- DOI for Hahn-Banach for metric functionals and horofunctions
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Renormalization and Siegel disks for complex Henon maps
Part of Journal of the European Mathematical Society (Print), p. 1053-1073, 2021
Article in journal
Twist-minimal trace formulas and the Selberg eigenvalue conjecture
Part of Journal of the London Mathematical Society, p. 1067-1134, 2020
Article in journal
- DOI for Twist-minimal trace formulas and the Selberg eigenvalue conjecture
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Extreme compression of grayscale images
Part of Communications in nonlinear science & numerical simulation, 2021
Article in journal
A natural graph of finite fields distinguishing between models
Part of Finite Fields and Their Applications, 2021
Article in journal
- DOI for A natural graph of finite fields distinguishing between models
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Part of Journal of the London Mathematical Society, p. 143-204, 2020
Article in journal
- DOI for An effective equidistribution result for SL(2,R) ∝(R2)⊕k and application to inhomogeneous quadratic forms
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Part of SIAM Review, p. 524-526, 2020
Article, book review
Subadditive and multiplicative ergodic theorems
Part of Journal of the European Mathematical Society (Print), p. 1893-1915, 2020
Article in journal
Renormalization of almost commuting pairs
Part of Inventiones Mathematicae, p. 203-236, 2020
Article in journal
Part of Discrete and Continuous Dynamical Systems, p. 4519-4531, 2020
Article in journal
A piecewise contractive dynamical system and Phragmèn's election method
Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019
Article in journal
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Part of Ergodic Theory and Dynamical Systems, p. 1317-1330, 2019
Article in journal
On the generalized circle problem for a random lattice in large dimension
Part of Advances in Mathematics, p. 1042-1074, 2019
Article in journal
Part of Journal of Differential Equations, p. 2408-2434, 2019
Article in journal
Enclosing all zeros of a system of analytic functions
Part of Applied Mathematics and Computation, p. 513-522, 2019
Article in journal
A Proof of the Subadditive Ergodic Theorem
Part of Groups, Graphs and Random Walks, p. 343-354, 2017
Conference paper
Renormalization for Lorenz maps of monotone combinatorial types
Part of Ergodic Theory and Dynamical Systems, p. 132-158, 2019
Article in journal
On the Existence of the Double Scroll Attractor for the Chua's Circuit with a Smooth Nonlinearity
Part of 2018 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2018
Conference paper
Part of Nonlinearity, p. 5573-5588, 2018
Article in journal
The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
Part of Rocky Mountain Journal of Mathematics, p. 945-961, 2019
Article in journal
On the location of the zero-free half-plane of a random Epstein zeta function
Part of Mathematische Annalen, p. 1191-1227, 2018
Article in journal
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