Publications in Dynamical Systems and Number Theory

On the heat kernel of a Cayley graph of PSL₂Z

Karlsson, Anders; Kashaeva, Kamila

Part of International mathematics research notices, 2026

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On the L^p-semigroups for Stokes equations with dynamic slip boundary conditions in the half-space

Prazak, Dalibor; Zelina, Michael

Part of European Journal of Mathematics, 2026

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Constructing heat kernels on infinite graphs

Jorgenson, Jay; Karlsson, Anders; Smajlovic, Lejla

Part of Analysis and Applications, p. 169-198, 2026

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• DOI for Constructing heat kernels on infinite graphs

Entropy Spectrum of Lyapunov Exponents for Typical Cocycles

Mohammadpour, Reza

Part of Journal of Dynamics and Differential Equations, p. 2203-2225, 2025

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• DOI for Entropy Spectrum of Lyapunov Exponents for Typical Cocycles
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Computer validation of open gaps for the almost Mathieu operator with critical coupling

Figueras, Jordi-Lluís; Puig, Joaquim

Part of Communications in nonlinear science & numerical simulation, 2026

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• DOI for Computer validation of open gaps for the almost Mathieu operator with critical coupling
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Extended Kalman Filtering on Stiefel Manifolds

Figueras, Jordi-Lluís; Persson, Aron; Viitasaari, Lauri

Part of Frontiers in signal processing, 2026

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• DOI for Extended Kalman Filtering on Stiefel Manifolds
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Entropy of Lyapunov maximizing measures of SL(2,ℝ) typical cocycles

Mohammadpour, Reza

Part of Dynamical systems, p. 316-331, 2025

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• DOI for Entropy of Lyapunov maximizing measures of SL(2,ℝ) typical cocycles
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On parameter estimation for  N(μ,σ²I₃) based on projected data into S²

Figueras, Jordi-Lluís; Persson, Aron; Viitasaari, Lauri

Part of Modern Stochastics: Theory and Applications, p. 407-431, 2025

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• DOI for On parameter estimation for  N(μ,σ²I₃) based on projected data into S²
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Asymptotic estimates of large gaps between directions in certain planar quasicrystals

Hammarhjelm, Gustav; Strömbergsson, Andreas; Yu, Shucheng

Part of Journal of the London Mathematical Society, 2025

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• DOI for Asymptotic estimates of large gaps between directions in certain planar quasicrystals
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Continuous eigenfunctions of the transfer operator for Dyson models

Johansson, Anders; Öberg, Anders; Pollicott, Mark

Part of Mathematische Zeitschrift, 2025

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• DOI for Continuous eigenfunctions of the transfer operator for Dyson models
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Uniqueness and mixing properties of Doeblin measures

Berger, Noam; Conache, Diana; Johansson, Anders; Öberg, Anders

Part of Probability theory and related fields, p. 1161-1181, 2025

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• DOI for Uniqueness and mixing properties of Doeblin measures
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The Ekström-Persson conjecture regarding random covering sets

Jarvenpaa, Esa; Jarvenpaa, Maarit; Myllyoja, Markus; Stenflo, Örjan

Part of Journal of the London Mathematical Society, 2025

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• DOI for The Ekström-Persson conjecture regarding random covering sets
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The discrete analogue of the Gaussian

Chinta, Gautam; Jorgenson, Jay; Karlsson, Anders; Smajlovic, Lejla

Part of Journal of Physics A, 2025

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A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems

Caracciolo, Chiara; Figueras, Jordi-Lluís; Haro, Alex

Part of Nonlinearity, 2025

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• 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

Karlsson, Anders

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

Karlsson, Anders

Part of Dynamics, Geometry and Number Theory, p. 276-300, University of Chicago Press, 2022

Chapter in book

• DOI for Elements of a metric spectral theory

Spectral zeta functions

Karlsson, Anders

Part of Discrete and Continuous Models in the Theory of Networks, p. 199-211, Birkhäuser, 2020

Chapter in book

• DOI for Spectral zeta functions
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The Boltzmann-Grad Limit of the Lorentz Gas in a Union of Lattices

Palmer, Matthew; Strömbergsson, Andreas

Part of Communications in Mathematical Physics, 2024

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• 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

Figueras, Jordi-Lluís; Tucker, Warwick; Zgliczynski, Piotr

Part of Journal of Dynamics and Differential Equations, p. 2827-2877, 2024

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Sun-Jupiter-Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem

Figueras, Jordi-Lluís; Haro, Alex

Part of Journal of nonlinear science, 2025

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• 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

Chinta, Gautam; Jorgenson, Jay; Karlsson, Anders; Smajlovic, Lejla

Part of Complex Analysis and Operator Theory, 2024

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• DOI for The Parametrix Construction of the Heat Kernel on a Graph

Complex Variables Functions: The stars at infinity in several complex variables

Karlsson, Anders

Part of Rendiconti Lincei - Matematica e Applicazioni, p. 49-75, 2024

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• 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

Mohammadpour, Reza; Park, Kiho

Part of Studia Mathematica, p. 85-98, 2024

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• DOI for Uniform quasi-multiplicativity of locally constant cocycles and applications

RENORMALIZATION AND EXISTENCE OF FINITE-TIME BLOW-UP SOLUTIONS FOR A ONE-DIMENSIONAL ANALOGUE OF THE NAVIER--STOKES EQUATIONS

Gaidashev, Denis; Luque, Alejandro

Part of SIAM Journal on Mathematical Analysis, p. 4356-4374, 2024

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• DOI for RENORMALIZATION AND EXISTENCE OF FINITE-TIME BLOW-UP SOLUTIONS FOR A ONE-DIMENSIONAL ANALOGUE OF THE NAVIER--STOKES EQUATIONS

A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems

Figueras, Jordi-Lluis; Haro, Alex

Part of Physica D, 2024

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• 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

Jorgenson, Jay; Karlsson, Anders; Smajlović, Lejla

Part of Journal of Mathematical Analysis and Applications, 2024

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• DOI for The resolvent kernel on the discrete circle and twisted cosecant sums

Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces

Arosio, Leandro; Fiacchi, Matteo; Guerini, Lorenzo; Karlsson, Anders

Part of Advances in Mathematics, 2024

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• 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

Karlsson, Anders

Part of Geometric and Functional Analysis, p. 486-511, 2024

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• DOI for A Metric Fixed Point Theorem and Some of Its Applications
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Highest cusped waves for the fractional KdV equations

Dahne, Joel

Part of Journal of Differential Equations, p. 550-670, 2024

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• DOI for Highest cusped waves for the fractional KdV equations
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Breakdown of hyperbolicity for quasiperiodic attracting invariant circles in a family of three-dimensional Henon-like maps

Linroth, Victor

NaN

Manuscript (preprint)

Computer assisted proofs for hyperbolic quasi-periodic invariant tori in dissipative twist maps

Linroth, Victor

NaN

Manuscript (preprint)

Computer Assisted Studies in Fluid Mechanics and Spectral Geometry

Dahne, Joel

2023

Licentiate thesis, comprehensive summary

Volumes of spheres and special values of zeta functions of Z and Z/nZ

Karlsson, Anders; Pallich, Massimiliano

Part of Acta Arithmetica, p. 161-170, 2023

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• DOI for Volumes of spheres and special values of zeta functions of Z and Z/nZ

Deep Limits and a Cut-Off Phenomenon for Neural Networks

Avelin, Benny; Karlsson, Anders

Part of Journal of machine learning research, 2022

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A measure estimate in geometry of numbers and improvements to Dirichlet's theorem

Kleinbock, Dmitry; Strömbergsson, Andreas; Yu, Shucheng

Part of Proceedings of the London Mathematical Society, p. 778-824, 2022

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• 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

Gaidashev, Denis; Yampolsky, Michael

Part of Moscow Mathematical Journal, p. 451-491, 2022

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• DOI for Golden mean siegel disk universality and renormalization

Properties of invariant sets in certain two-dimensional dynamical systems: Renormalization and beyond

Lilja, Dan

2022

Doctoral thesis, comprehensive summary

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On the geometry of period doubling invariant sets for area-preserving maps

Gaidashev, Denis; Lilja, Dan

Part of Discrete and Continuous Dynamical Systems, p. 5036-5074, 2025

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• DOI for On the geometry of period doubling invariant sets for area-preserving maps

Universality but no rigidity for two-dimensional perturbations of almost commuting pairs

Gaidashev, Denis; Lilja, Dan

NaN

Manuscript (preprint)

Comments on the cosmic convergence of nonexpansive maps

Gutierrez, Armando W.; Karlsson, Anders

Part of Journal of Fixed Point Theory and Applications, 2021

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• DOI for Comments on the cosmic convergence of nonexpansive maps
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From linear to metric functional analysis

Karlsson, Anders

Part of Proceedings of the National Academy of Sciences of the United States of America, 2021

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• DOI for From linear to metric functional analysis

Hahn-Banach for metric functionals and horofunctions

Karlsson, Anders

Part of Journal of Functional Analysis, 2021

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Renormalization and Siegel disks for complex Henon maps

Gaidashev, Denis; Radu, Remus; Yampolsky, Michael

Part of Journal of the European Mathematical Society (Print), p. 1053-1073, 2021

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• DOI for Renormalization and Siegel disks for complex Henon maps

Twist-minimal trace formulas and the Selberg eigenvalue conjecture

Booker, Andrew R.; Lee, Min; Strömbergsson, Andreas

Part of Journal of the London Mathematical Society, p. 1067-1134, 2020

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• DOI for Twist-minimal trace formulas and the Selberg eigenvalue conjecture
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Extreme compression of grayscale images

Mendivil, Franklin; Stenflo, Örjan

Part of Communications in nonlinear science & numerical simulation, 2021

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• DOI for Extreme compression of grayscale images

A natural graph of finite fields distinguishing between models

Karlsson, Anders; Kuhn, Gaëtan

Part of Finite Fields and Their Applications, 2021

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An effective equidistribution result for SL(2,R) ∝(R2)⊕k  and application to inhomogeneous quadratic forms

Strömbergsson, Andreas; Vishe, Pankaj

Part of Journal of the London Mathematical Society, p. 143-204, 2020

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• DOI for An effective equidistribution result for SL(2,R) ∝(R2)⊕k  and application to inhomogeneous quadratic forms
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[Review of:] Rigorous Numerics in Dynamics, edited by Jan Bouwe van den Berg and Jean-Philippe Lessard

Tucker, Warwick

Part of SIAM Review, p. 524-526, 2020

Article, book review

• DOI for [Review of:] Rigorous Numerics in Dynamics, edited by Jan Bouwe van den Berg and Jean-Philippe Lessard

Subadditive and multiplicative ergodic theorems

Gouezel, Sebastien; Karlsson, Anders

Part of Journal of the European Mathematical Society (Print), p. 1893-1915, 2020

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• DOI for Subadditive and multiplicative ergodic theorems

Renormalization of almost commuting pairs

Gaidashev, Denis; Yampolsky, Michael

Part of Inventiones Mathematicae, p. 203-236, 2020

Article in journal

• DOI for Renormalization of almost commuting pairs