# 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 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

A Metric Fixed Point Theorem and Some of Its Applications

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

Article in journal

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

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

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

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

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

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

Article in journal

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

The Kusuoka measure and the energy Laplacian on some level-k Sierpiński gaskets

Manuscript (preprint)

Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip

Part of Tohoku mathematical journal, p. 585-610, 2017

Article in journal

Part of Integral equations and operator theory, p. 151-207, 2017

Article in journal

The Three Gap Theorem and the Space of Lattices

Part of The American mathematical monthly, p. 741-745, 2017

Article in journal

Random iterations of homeomorphisms on the circle

Part of MODERN STOCHASTICS-THEORY AND APPLICATIONS, p. 253-271, 2017

Article in journal

Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach

Part of Foundations of Computational Mathematics, p. 1123-1193, 2017

Article in journal

On the sharpness of the Rüssmann estimates

Part of Communications in nonlinear science & numerical simulation, p. 42-55, 2018

Article in journal

Part of SIAM Journal on Applied Dynamical Systems, p. 1070-1088, 2017

Article in journal

Part of SIAM Journal on Applied Dynamical Systems, p. 834-852, 2017

Article in journal

Universal Hitting Time Statistics for Integrable Flows

Part of Journal of statistical physics, p. 714-749, 2017

Article in journal

Phase transitions in long-range Ising models and an optimal condition for factors of g-measures

Manuscript (preprint)

On the global stability of a peer-to-peer network model

Part of Operations Research Letters, p. 190-194, 2012

Article in journal

Fractal dimentions of the conformal diffusion-limited aggregation

Manuscript (preprint)

CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications

Part of Mathematical Software, ICMS 2016, p. 232-240, 2016

Conference paper

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