Publikationer inom dynamiska system och talteori
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A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
Ingår i Proceedings of the London Mathematical Society, s. 778-824, 2022.
DOI för A measure estimate in geometry of numbers and improvements to Dirichlet's theorem Ladda ner fulltext (pdf) av A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
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Golden mean siegel disk universality and renormalization
Ingår i Moscow Mathematical Journal, s. 451-491, 2022.
DOI för Golden mean siegel disk universality and renormalization
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Lilja, Dan
Properties of invariant sets in certain two-dimensional dynamical systems: Renormalization and beyond
2022.
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Comments on the cosmic convergence of nonexpansive maps
Ingår i Journal of Fixed Point Theory and Applications, 2021.
DOI för Comments on the cosmic convergence of nonexpansive maps Ladda ner fulltext (pdf) av Comments on the cosmic convergence of nonexpansive maps
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Extreme compression of grayscale images
Ingår i Communications in nonlinear science & numerical simulation, 2021.
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From linear to metric functional analysis
Ingår i 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
Ingår i Journal of Functional Analysis, 2021.
DOI för Hahn-Banach for metric functionals and horofunctions Ladda ner fulltext (pdf) av Hahn-Banach for metric functionals and horofunctions
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Renormalization and Siegel disks for complex Henon maps
Ingår i Journal of the European Mathematical Society (Print), s. 1053-1073, 2021.
DOI för Renormalization and Siegel disks for complex Henon maps
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An effective equidistribution result for SL(2,R) ∝(R2)⊕k and application to inhomogeneous quadratic forms
Ingår i Journal of the London Mathematical Society, s. 143-204, 2020.
DOI för An effective equidistribution result for SL(2,R) ∝(R2)⊕k and application to inhomogeneous quadratic forms Ladda ner fulltext (pdf) av An effective equidistribution result for SL(2,R) ∝(R2)⊕k and application to inhomogeneous quadratic forms
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Renormalization of almost commuting pairs
Ingår i Inventiones Mathematicae, s. 203-236, 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
Ingår i Discrete and Continuous Dynamical Systems, s. 4519-4531, 2020.
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Subadditive and multiplicative ergodic theorems
Ingår i Journal of the European Mathematical Society (Print), s. 1893-1915, 2020.
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Twist-minimal trace formulas and the Selberg eigenvalue conjecture
Ingår i Journal of the London Mathematical Society, s. 1067-1134, 2020.
DOI för Twist-minimal trace formulas and the Selberg eigenvalue conjecture Ladda ner fulltext (pdf) av Twist-minimal trace formulas and the Selberg eigenvalue conjecture
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A piecewise contractive dynamical system and Phragmèn's election method
Ingår i Bulletin de la Société Mathématique de France, s. 395-441, 2019.
DOI för A piecewise contractive dynamical system and Phragmèn's election method
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Enclosing all zeros of a system of analytic functions
Ingår i Applied Mathematics and Computation, s. 513-522, 2019.
DOI för Enclosing all zeros of a system of analytic functions
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On the generalized circle problem for a random lattice in large dimension
Ingår i Advances in Mathematics, s. 1042-1074, 2019.
DOI för On the generalized circle problem for a random lattice in large dimension
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Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Ingår i Ergodic Theory and Dynamical Systems, s. 1317-1330, 2019.
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Renormalization for Lorenz maps of monotone combinatorial types
Ingår i Ergodic Theory and Dynamical Systems, s. 132-158, 2019.
DOI för Renormalization for Lorenz maps of monotone combinatorial types
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Rigorous integration of smooth vector fields around spiral saddles with an application to the cubic Chua's attractor
Ingår i Journal of Differential Equations, s. 2408-2434, 2019.
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On the Existence of the Double Scroll Attractor for the Chua's Circuit with a Smooth Nonlinearity
Ingår i 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
Ingår i Mathematische Annalen, s. 1191-1227, 2018.
DOI för On the location of the zero-free half-plane of a random Epstein zeta function
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On the sharpness of the Rüssmann estimates
Ingår i Communications in nonlinear science & numerical simulation, s. 42-55, 2018.
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A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations
Ingår i SIAM Journal on Applied Dynamical Systems, s. 1070-1088, 2017.
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A Proof of the Subadditive Ergodic Theorem
Ingår i Groups, Graphs and Random Walks, s. 343-354, 2017.
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Ergodic Theory of Kusuoka Measures
Ingår i Journal of Fractal Geometry, s. 185-214, 2017.
DOI för Ergodic Theory of Kusuoka Measures Ladda ner fulltext (pdf) av Ergodic Theory of Kusuoka Measures
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Invertibility Properties of Singular Integral Operators Associated with the Lam, and Stokes Systems on Infinite Sectors in Two Dimensions
Ingår i Integral equations and operator theory, s. 151-207, 2017.
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Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky-Equation
Ingår i SIAM Journal on Applied Dynamical Systems, s. 834-852, 2017.
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Random iterations of homeomorphisms on the circle
Ingår i MODERN STOCHASTICS-THEORY AND APPLICATIONS, s. 253-271, 2017.
DOI för Random iterations of homeomorphisms on the circle Ladda ner fulltext (pdf) av Random iterations of homeomorphisms on the circle
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Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach
Ingår i Foundations of Computational Mathematics, s. 1123-1193, 2017.
DOI för Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach
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Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip
Ingår i Tohoku mathematical journal, s. 585-610, 2017.
DOI för Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip
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The Three Gap Theorem and the Space of Lattices
Ingår i The American mathematical monthly, s. 741-745, 2017.
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Universal Hitting Time Statistics for Integrable Flows
Ingår i Journal of statistical physics, s. 714-749, 2017.
DOI för Universal Hitting Time Statistics for Integrable Flows Ladda ner fulltext (pdf) av Universal Hitting Time Statistics for Integrable Flows
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A note on the fractalization of saddle invariant curves in quasiperiodic systems
Ingår i Discrete and Continuous Dynamical Systems. Series S, s. 1095-1107, 2016.
DOI för A note on the fractalization of saddle invariant curves in quasiperiodic systems
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CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications
Ingår i Mathematical Software, ICMS 2016, s. 232-240, 2016.
DOI för CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications
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Random affine code tree fractals and Falconer-Sloan condition
Ingår i Ergodic Theory and Dynamical Systems, s. 1516-1533, 2016.
DOI för Random affine code tree fractals and Falconer-Sloan condition
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Rigidity For Infinitely Renormalizable Area-Preserving Maps
Ingår i Duke mathematical journal, s. 129-159, 2016.
DOI för Rigidity For Infinitely Renormalizable Area-Preserving Maps
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Spectral Properties Of Renormalization For Area-Preserving Maps
Ingår i Discrete and Continuous Dynamical Systems, s. 3651-3675, 2016.
DOI för Spectral Properties Of Renormalization For Area-Preserving Maps
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Spectral zeta functions of graphs and the Riemann zeta function in the critical strip
Ingår i Tohoku mathematical journal, 2016.
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A database of rigorous and high-precision periodic orbits of the Lorenz model
Ingår i Computer Physics Communications, s. 76-83, 2015.
DOI för A database of rigorous and high-precision periodic orbits of the Lorenz model
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An effective Ratner equidistribution result for SL(2, R)∝R2
Ingår i Duke mathematical journal, s. 843-902, 2015.
DOI för An effective Ratner equidistribution result for SL(2, R)∝R2
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Computer-Aided Proofs via Interval Analysis
Ingår i The Princeton Companion to Applied Mathematics, s. 790-795, 2015.
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Fixed points of a destabilized Kuramoto-Sivashinsky equation
Ingår i Applied Mathematics and Computation, s. 339-349, 2015.
DOI för Fixed points of a destabilized Kuramoto-Sivashinsky equation
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Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals
Ingår i Applied Mathematics Research eXpress, s. 274-295, 2015.
DOI för Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals Ladda ner fulltext (pdf) av Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals
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Interval Analysis
Ingår i The Princeton Companion to Applied Mathematics, s. 105-106, 2015.