Publications in Dynamical Systems and Number Theory

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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Divergent Series and Summation Methods

Markusson, Samuel

2022.

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Euklides och primtal

Adabanian, Jakob

2022.

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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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Lilja, Dan

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

2022.

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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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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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Extreme compression of grayscale images

Mendivil, Franklin; Stenflo, Örjan

Part of Communications in nonlinear science & numerical simulation, 2021.

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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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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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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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Renormalization of almost commuting pairs

Gaidashev, Denis; Yampolsky, Michael

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

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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.

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Sharp 1/2-Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles

Figueras, Jordi-Lluis; Timoudas, Thomas Ohlson

Part of Discrete and Continuous Dynamical Systems, p. 4519-4531, 2020.

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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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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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A piecewise contractive dynamical system and Phragmèn's election method

Janson, Svante; Öberg, Anders

Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019.

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Enclosing all zeros of a system of analytic functions

Dahne, Joel; Ciappina, M. F.; Tucker, Warwick

Part of Applied Mathematics and Computation, p. 513-522, 2019.

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On the generalized circle problem for a random lattice in large dimension

Strömbergsson, Andreas; Södergren, Anders

Part of Advances in Mathematics, p. 1042-1074, 2019.

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

Johansson, Anders; Öberg, Anders; Pollicott, Mark

Part of Ergodic Theory and Dynamical Systems, p. 1317-1330, 2019.

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

Renormalization for Lorenz maps of monotone combinatorial types

Gaidashev, Denis

Part of Ergodic Theory and Dynamical Systems, p. 132-158, 2019.

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Rigorous integration of smooth vector fields around spiral saddles with an application to the cubic Chua's attractor

Galias, Zbigniew; Tucker, Warwick

Part of Journal of Differential Equations, p. 2408-2434, 2019.

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Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems

Figueras, Jordi-Lluis; Lilja, Dan

Part of Nonlinearity, p. 5573-5588, 2018.

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On the Existence of the Double Scroll Attractor for the Chua's Circuit with a Smooth Nonlinearity

Galias, Zbigniew; Tucker, Warwick

Part of 2018 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2018.

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On the location of the zero-free half-plane of a random Epstein zeta function

Strömbergsson, Andreas; Södergren, Anders

Part of Mathematische Annalen, p. 1191-1227, 2018.

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On the sharpness of the Rüssmann estimates

Figueras, Jordi-Lluis; Haro, Alex; Luque, Alejandro

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

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A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations

Figueras, Jordi-Lluis; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael

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

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A Proof of the Subadditive Ergodic Theorem

Karlsson, Anders

Part of Groups, Graphs and Random Walks, p. 343-354, 2017.

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Ergodic Theory of Kusuoka Measures

Johansson, Anders; Öberg, Anders; Pollicott, Mark

Part of Journal of Fractal Geometry, p. 185-214, 2017.

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Invertibility Properties of Singular Integral Operators Associated with the Lam, and Stokes Systems on Infinite Sectors in Two Dimensions

Mitrea, Irina; Ott, Katharine; Tucker, Warwick

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

DOI for Invertibility Properties of Singular Integral Operators Associated with the Lam, and Stokes Systems on Infinite Sectors in Two Dimensions

Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky-Equation

Figueras, Jordi-Lluis; de la Llave, Rafael

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

DOI for Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky-Equation

Random iterations of homeomorphisms on the circle

Gelfert, Katrin; Stenflo, Örjan

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

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

Figueras, Jordi-Lluis; Haro, A.; Luque, A.

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

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

Friedli, Fabien; Karlsson, Anders

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

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The Three Gap Theorem and the Space of Lattices

Marklof, Jens; Strömbergsson, Andreas

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

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Universal Hitting Time Statistics for Integrable Flows

Dettmann, Carl P.; Marklof, Jens; Strömbergsson, Andreas

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

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A note on the fractalization of saddle invariant curves in quasiperiodic systems

Figueras, Jordi-Lluis; Haro, Alex

Part of Discrete and Continuous Dynamical Systems. Series S, p. 1095-1107, 2016.

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CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications

Joldes, Mioara; Muller, Jean-Michel; Popescu, Valentina; Tucker, Warwick

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

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Random affine code tree fractals and Falconer-Sloan condition

Järvenpää, Esa; Järvenpää, Maarit; Li, Bing; Stenflo, Örjan

Part of Ergodic Theory and Dynamical Systems, p. 1516-1533, 2016.

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Rigidity For Infinitely Renormalizable Area-Preserving Maps

Gaidashev, Denis; Johnson, T.; Martens, M.

Part of Duke mathematical journal, p. 129-159, 2016.

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Spectral Properties Of Renormalization For Area-Preserving Maps

Gaidashev, Denis; Johnson, Tomas

Part of Discrete and Continuous Dynamical Systems, p. 3651-3675, 2016.

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Spectral zeta functions of graphs and the Riemann zeta function in the critical strip

Karlsson, Anders; Friedli, Fabien

Part of Tohoku mathematical journal, 2016.

A database of rigorous and high-precision periodic orbits of the Lorenz model

Barrio, Roberto; Dena, Angeles; Tucker, Warwick

Part of Computer Physics Communications, p. 76-83, 2015.

DOI for A database of rigorous and high-precision periodic orbits of the Lorenz model

An effective Ratner equidistribution result for SL(2, R)∝R²

Strömbergsson, Andreas

Part of Duke mathematical journal, p. 843-902, 2015.

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Computer-Aided Proofs via Interval Analysis

Tucker, Warwick

Part of The Princeton Companion to Applied Mathematics, p. 790-795, 2015.

Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps

Figueras, Jordi-Lluis; Haro, Alex

Part of Chaos, 2015.

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Fixed points of a destabilized Kuramoto-Sivashinsky equation

Bartha, Ferenc A.; Tucker, Warwick

Part of Applied Mathematics and Computation, p. 339-349, 2015.

DOI for Fixed points of a destabilized Kuramoto-Sivashinsky equation

Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals

Marklof, Jens; Strömbergsson, Andreas

Part of Applied Mathematics Research eXpress, p. 274-295, 2015.

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Interval Analysis

Tucker, Warwick

Part of The Princeton Companion to Applied Mathematics, p. 105-106, 2015.