Publications in Dynamical Systems and Number Theory
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Dahne, Joel
Computer Assisted Studies in Fluid Mechanics and Spectral Geometry
Ångströmlaboratoriet , 2001, Lägerhyddsvägen 1, 2023-10-20 13:15
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Volumes of spheres and special values of zeta functions of Z and Z/nZ
Part of Acta Arithmetica, p. 161-170, 2023.
DOI for Volumes of spheres and special values of zeta functions of Z and Z/nZ
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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.
DOI for A measure estimate in geometry of numbers and improvements to Dirichlet's theorem Download full text (pdf) of A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
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Deep Limits and a Cut-Off Phenomenon for Neural Networks
Part of Journal of machine learning research, 2022.
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Golden mean siegel disk universality and renormalization
Part of Moscow Mathematical Journal, p. 451-491, 2022.
DOI for 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
Part of Journal of Fixed Point Theory and Applications, 2021.
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Extreme compression of grayscale images
Part of Communications in nonlinear science & numerical simulation, 2021.
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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.
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Hahn-Banach for metric functionals and horofunctions
Part of Journal of Functional Analysis, 2021.
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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.
DOI for 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
Part of Journal of the London Mathematical Society, p. 143-204, 2020.
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Renormalization of almost commuting pairs
Part of Inventiones Mathematicae, p. 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
Part of Discrete and Continuous Dynamical Systems, p. 4519-4531, 2020.
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Subadditive and multiplicative ergodic theorems
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
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
Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019.
DOI for A piecewise contractive dynamical system and Phragmèn's election method
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Enclosing all zeros of a system of analytic functions
Part of Applied Mathematics and Computation, p. 513-522, 2019.
DOI for 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
Part of Advances in Mathematics, p. 1042-1074, 2019.
DOI for 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
Part of Ergodic Theory and Dynamical Systems, p. 1317-1330, 2019.
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Renormalization for Lorenz maps of monotone combinatorial types
Part of Ergodic Theory and Dynamical Systems, p. 132-158, 2019.
DOI for 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
Part of Journal of Differential Equations, p. 2408-2434, 2019.
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The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
Part of Rocky Mountain Journal of Mathematics, p. 945-961, 2019.
DOI for The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
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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.
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On the location of the zero-free half-plane of a random Epstein zeta function
Part of Mathematische Annalen, p. 1191-1227, 2018.
DOI for 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
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
Part of SIAM Journal on Applied Dynamical Systems, p. 1070-1088, 2017.
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A Proof of the Subadditive Ergodic Theorem
Part of Groups, Graphs and Random Walks, p. 343-354, 2017.
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Ergodic Theory of Kusuoka Measures
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
Part of Integral equations and operator theory, p. 151-207, 2017.
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Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky-Equation
Part of SIAM Journal on Applied Dynamical Systems, p. 834-852, 2017.
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Random iterations of homeomorphisms on the circle
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
Part of Foundations of Computational Mathematics, p. 1123-1193, 2017.
DOI for 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
Part of Tohoku mathematical journal, p. 585-610, 2017.
DOI for 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
Part of The American mathematical monthly, p. 741-745, 2017.
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Universal Hitting Time Statistics for Integrable Flows
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
Part of Discrete and Continuous Dynamical Systems. Series S, p. 1095-1107, 2016.
DOI for A note on the fractalization of saddle invariant curves in quasiperiodic systems
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CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications
Part of Mathematical Software, ICMS 2016, p. 232-240, 2016.
DOI for CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications
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Random affine code tree fractals and Falconer-Sloan condition
Part of Ergodic Theory and Dynamical Systems, p. 1516-1533, 2016.
DOI for Random affine code tree fractals and Falconer-Sloan condition
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Rigidity For Infinitely Renormalizable Area-Preserving Maps
Part of Duke mathematical journal, p. 129-159, 2016.
DOI for Rigidity For Infinitely Renormalizable Area-Preserving Maps
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Spectral Properties Of Renormalization For Area-Preserving Maps
Part of Discrete and Continuous Dynamical Systems, p. 3651-3675, 2016.
DOI for 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
Part of Tohoku mathematical journal, 2016.
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A database of rigorous and high-precision periodic orbits of the Lorenz model
Part of Computer Physics Communications, p. 76-83, 2015.
DOI for A database of rigorous and high-precision periodic orbits of the Lorenz model