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Mathematics › Mathematical Physics

Mathematical Dynamics and Fractals

Works Count: 76174

Description

This cluster of papers covers a wide range of topics in dynamical systems and chaos theory, including chaos implications, ergodic theory, fractals, Lyapunov exponents, Markov chains, topological entropy, invariant measures, Teichmüller curves, and Hausdorff dimension.

Keywords

Chaos; Dynamical Systems; Fractals; Ergodic Theory; Lyapunov Exponents; Markov Chains; Topological Entropy; Invariant Measures; Teichmüller Curves; Hausdorff Dimension

Most Cited Works

Action Title Date Authors
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Flow by mean curvature of convex surfaces into spheres 1984-01-01 Gerhard Huisken
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Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms 1975-01-01 Rufus Bowen
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Introduction to Compact Transformation Groups 1972-01-01 Glen E. Bredon
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Recurrence in Ergodic Theory and Combinatorial Number Theory 1981-12-31 Harry Furstenberg
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Detecting strange attractors in turbulence 1981-01-01 Floris Takens
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Introduction to symplectic topology 2006-02-06 Dusa McDuff
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A Probabilistic Theory of Pattern Recognition 1996-01-01 Luc Devroye László Györfi Gábor Lugosi
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Self-similarity and intermediate asymptotics 2003-11-13 Г. И. Баренблатт
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Iterated Maps on the Interval as Dynamical Systems 2009-01-01 Pierre Collet Jean‐Pierre Eckmann
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Random dynamical systems 2020-12-01 Ludwig Arnold
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Chaos in Dynamical Systems 1992-01-01 Daniel Zwillinger
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An equation for continuous chaos 1976-07-01 Otto E. Rössler
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Periodic Orbits and Classical Quantization Conditions 1971-03-01 Martin C. Gutzwiller
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<i>An Introduction to Chaotic Dynamical Systems</i> 1987-07-01 Robert L. Devaney Jean‐Pierre Eckmann
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Differential Forms in Algebraic Topology 1982-01-01 Raoul Bott Loring W. Tu
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Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits 1984-10-15 Eric J. Heller
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Groups of Diffeomorphisms and the Motion of an Incompressible Fluid 1970-07-01 David G. Ebin Jerrold E. Marsden
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Approach to an irregular time series on the basis of the fractal theory 1988-06-01 Tomoyuki Higuchi
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Ergodic theory of chaos and strange attractors 1985-07-01 Jean‐Pierre Eckmann David Ruelle
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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY 1977-08-31 Ya. B. Pesin
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Universality and complexity in cellular automata 1984-01-01 Stephen Wolfram
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An Introduction to Diophantine Approximation. 1958-06-01 John C. Brixey J. W. S. Cassels
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Weak Convergence and Empirical Processes 1996-01-01 Aad van der Vaart Jon A. Wellner
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<i>Chaos: An Introduction to Dynamical Systems</i> 1997-11-01 Kathleen T. Alligood Timothy Sauer James A. Yorke John D. Crawford
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Measuring the strangeness of strange attractors 1983-10-01 Peter Grassberger Itamar Procaccia
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Fractal Geometry: Mathematical Foundations and Applications. 1990-09-01 K. J. Falconer
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Groups of polynomial growth and expanding maps 1981-12-01 Mikhael Gromov
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A NEW CHAOTIC ATTRACTOR COINED 2002-03-01 Jinhu Lü Guanrong Chen
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Mathematical problems for the next century 1998-03-01 Steve Smale
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Asymptotic Theory for Econometricians. 1988-02-01 Peter M. Robinson Hannah J. White
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Symmetric Ciphers Based on Two-Dimensional Chaotic Maps 1998-06-01 Jiří Fridrich
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Nonlocal Operators with Applications to Image Processing 2008-11-12 Guy Gilboa Stanley Osher
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Differentiable Dynamical Systems 1980-01-01 Steve Smale
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Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory 1980-03-01 Giancarlo Benettin L. Galgani Antonio Giorgilli Jean-Marie Strelcyn
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Introduction to the modern theory of dynamical systems 1996-06-01 Anatole Katok Boris Hasselblatt
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Motion of level sets by mean curvature. I 1991-01-01 L. C. Evans Joel Spruck
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Minimal Varieties in Riemannian Manifolds 1968-07-01 James Simons
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Convergence of Probability Measures 1970-02-01 James L. Snell
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The infinite number of generalized dimensions of fractals and strange attractors 1983-09-01 H. G. E. Hentschel Itamar Procaccia
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Image coding based on a fractal theory of iterated contractive image transformations 1992-01-01 A. Jacquin
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Distribution of Zeros of Entire Functions 1964-12-31 Б. В. Левин
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Crises, sudden changes in chaotic attractors, and transient chaos 1983-05-01 Celso Grebogi Edward Ott James A. Yorke
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Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire 1943-07-01 B Gnedenko
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Introduction to Percolation Theory 1987-11-01 N. Rivier
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Convergence of Probability Measures 1999-07-16 Patrick Billingsley
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An introduction to chaotic dynamical systems 1990-05-01
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Differentiable dynamical systems 1967-01-01 Stephen T. Smale
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An Introduction to Ergodic Theory 1982-01-01 Peter Walters
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Embedology 1991-11-01 Timothy Sauer James A. Yorke Martin Casdagli
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Handbook of Set-Theoretic Topology 1984-01-01 Stewart Baldwin

Most Recent Works

Action Title Date Authors
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A note on a result of Makowski 2025-04-30 Luis H. Gallardo Joshua Zelinsky
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On Fourier transforms of fractal measures on the parabola 2025-05-01 Tuomas Orponen Carmelo Puliatti Aleksi Pyörälä
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A classification of solitons for the surface diffusion flow of entire graphs 2025-05-01 Piotr Rybka Glen Wheeler
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On Multivalued Contractions via θ-hyperbolic Sine Distance Functions 2025-05-01 Hassen Aydi Abdelbasset Felhi Irshad Ayoob Nabil Mlaiki
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On $g \mu$-Paracompact Sets 2025-05-01 Heyam H. Al-jarrah Amani Rawshdeh Khalid Y. Al-Zoubi Shefa A. Bani Melhem
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$k$-Geodetic Hop Domination Defect in a Graph 2025-05-01 Jesica Anoche Sergio Canoy
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On the Diophantine Equations of the Form \( x^2 - kxy + ky^2 + 2ny = 0 \) 2025-05-01 Supawadee Prugsapitak Nattaporn Thongngam
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Recurrent fractal interpolation for data with generalized tempered stable noise: an application to NIFTY data 2025-05-01 Mohit Kumar N. S. Upadhye A. K. B. Chand
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Stable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.svg" display="inline" id="d1e26"><mml:mi>s</mml:mi></mml:math>-minimal cones in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si8.svg" display="inline" id="d1e31"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> are flat for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.svg" display="inline… 2025-05-01 Michele Caselli
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Dynamical analysis, stabilization, and synchronization in the q-deformed discrete fractional Stefanski map 2025-05-01 M. G. Abbas Malik Muhammad Awais Irfan Ullah Zia Bashir
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The Hopf–Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres 2025-05-01 Peter Albers Gabriele Benedetti Ludwig Maier
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Dynamics of convex mean curvature flow 2025-05-02 Sigurd B Angenent Panagiota Daskalopoulos Nataša Šešum
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A note on the variational principle for preimage pressures 2025-05-01 靖昭 巽 Yujun Zhu
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Stabilizers for Ergodic Actions and Invariant Random Expansions of Non-Archimedean Polish Groups 2025-05-01 Colin Jahel Matthieu Joseph
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Products of Cantor sets 2025-05-02 Yuki Takahashi
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Incomplete Metrics on \(\mathbb{R}\) with Usual Topology 2025-05-02 K.B. Tonny
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On using fuzzy clustering for detecting the number of states in Markov switching models 2025-05-02 Edoardo Otranto Luca Scaffidi Domianello
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Stationary entrance chains and applications to random walks 2025-05-01 Aleksandar Mijatović Vladislav Vysotsky
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On the dynamics of the Craik–Okamoto and the Euler top 2025-05-01 Jaume Llibre Clàudìa Valls
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Combinatorial invariance for Kazhdan–Lusztig R-polynomials of elementary intervals 2025-05-03 Grant T. Barkley Christian Gaetz
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Marcinkiewicz integral and superdensity 2025-05-05 Silvano Delladio
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Dynamical properties of the Takagi map and its partial sums 2025-05-05 Jonathan Hoseana
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Invariants of Flows in 4-D Space Time 2025-05-01 Susan Mathew Panakkal R Parameswaran Vedan M.J.
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Box dimension of generalized affine fractal interpolation functions (II) 2025-04-30 Lai Jiang Huo-Jun Ruan
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The supremum of Brownian local times on Hölder curves revisited 2025-05-01 Richard F. Bass Krzysztof Burdzy
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Functional limits for “tied down” occupation time processes of infinite ergodic transformations 2025-05-01 Jon Aaronson Toru Sera
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SLEκ(ρ) bubble measures 2025-05-01 Dapeng Zhan
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Dimensional analysis of graphs of fractal functions as invariant sets for some dynamical systems associated with composite mappings 2025-05-06 Binyan Yu
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A dimensional mass transference principle for Borel probability measures and applications 2025-05-06 Edouard Daviaud
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Gap sequences of Barański sets 2025-05-01 Zhen Liang Jun Jie Miao Huo-Jun Ruan
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Remarks on the Relationship Between Fractal Dimensions and Convergence Speed 2025-05-06 J. F. Qiu Binyan Yu
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Functoriality of HKR isomorphisms 2025-05-01 Shengyuan Huang
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Center of mass and area moment of inertia of fractal circular lamina 2025-05-06 Md Nazimul Islam Imrul Kaish
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Asymptotic dimension and hyperfiniteness of generic Cantor actions 2025-05-06 Sumun Iyer Forte Shinko
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Correction: A Central Limit Theorem Associated with a Sequence of Positive Line Bundles 2025-05-07 Afrim Bojnik Ozan Günyüz
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Measures associated with certain ellipsephic series and the allouche-hu-morin limit theorem 2025-05-07 Jean-François Burnol
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Entropy of Axial Products on $$\mathbb {N}^d$$ and Trees 2025-05-07 Jung-Chao Ban Wen-Guei Hu Guan-Yu Lai
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Algorithmically Optimal Outer Measures 2025-05-07 Jack H. Lutz Neil Lutz
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On a theorem of Kara and Klyachko 2025-05-07 SanMin Wang
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Rate Distortion Dimension of Random Brody Curves 2025-05-07 Masaki Tsukamoto
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Zeta Functions of Geometrically Finite Graphs of Groups 2025-05-07 Soon-Ki Hong Sanghoon Kwon
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A flower theorem in dimension two 2025-05-08 Lorena López‐Hernanz Rudy Rosas
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Topological components in a community currency network 2025-05-06 Teodoro Criscione
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On the Convergence Rate of Sinkhorn’s Algorithm 2025-05-08 Promit Ghosal Marcel Nutz
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Entropy of singular suspensions 2025-05-08 Elias Rego Sergio Romaña
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Coupled Sub-Feedback Hyperchaotic Dynamical System and Its Application in Image Encryption 2025-05-08 Z. Y. You Jiaoyang Liu Tianqi Zhang Yaoqun Xu
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Some properties of frame measures for Moran measures 2025-05-09 Fusheng Xiao
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Measure and dimension theory of permeable sets and its applications to fractals 2025-05-09 Gunther Leobacher Tapio Rajala Alexander Steinicke Jörg Μ. Thuswaldner
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Limits of an Increasing Sequence of Riemann Surfaces 2025-05-09 Diganta Borah Prachi Mahajan Jiju Mammen
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Some quenched and annealed limit theorems for superprocesses in random environments 2025-05-01 Zeteng Fan Jieliang Hong Jie Xiong