Ergodic Theory and Dynamical Systems Short Title: Ergodic Theory Dyn. Syst. Publisher: Cambridge University Press, Cambridge ISSN: 0143-3857; 1469-4417/e Online: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/all-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,535 Publications (since 1981) References Indexed: 2,474 Publications with 53,556 References. all top 5 Latest Issues 44, No. 3 (2024) 44, No. 2 (2024) 44, No. 1 (2024) 43, No. 12 (2023) 43, No. 11 (2023) 43, No. 10 (2023) 43, No. 9 (2023) 43, No. 8 (2023) 43, No. 7 (2023) 43, No. 6 (2023) 43, No. 5 (2023) 43, No. 4 (2023) 43, No. 3 (2023) 43, No. 2 (2023) 43, No. 1 (2023) 42, No. 12 (2022) 42, No. 11 (2022) 42, No. 10 (2022) 42, No. 9 (2022) 42, No. 8 (2022) 42, No. 7 (2022) 42, No. 6 (2022) 42, No. 5 (2022) 42, No. 4 (2022) 42, No. 3 (2022) 42, No. 2 (2022) 42, No. 1 (2022) 41, No. 12 (2021) 41, No. 11 (2021) 41, No. 10 (2021) 41, No. 9 (2021) 41, No. 8 (2021) 41, No. 7 (2021) 41, No. 6 (2021) 41, No. 5 (2021) 41, No. 4 (2021) 41, No. 3 (2021) 41, No. 2 (2021) 41, No. 1 (2021) 40, No. 12 (2020) 40, No. 11 (2020) 40, No. 10 (2020) 40, No. 9 (2020) 40, No. 8 (2020) 40, No. 7 (2020) 40, No. 6 (2020) 40, No. 5 (2020) 40, No. 4 (2020) 40, No. 3 (2020) 40, No. 2 (2020) 40, No. 1 (2020) 39, No. 12 (2019) 39, No. 11 (2019) 39, No. 10 (2019) 39, No. 9 (2019) 39, No. 8 (2019) 39, No. 7 (2019) 39, No. 6 (2019) 39, No. 5 (2019) 39, No. 4 (2019) 39, No. 3 (2019) 39, No. 2 (2019) 39, No. 1 (2019) 38, No. 8 (2018) 38, No. 7 (2018) 38, No. 6 (2018) 38, No. 5 (2018) 38, No. 4 (2018) 38, No. 3 (2018) 38, No. 2 (2018) 38, No. 1 (2018) 37, No. 8 (2017) 37, No. 7 (2017) 37, No. 6 (2017) 37, No. 5 (2017) 37, No. 4 (2017) 37, No. 3 (2017) 37, No. 2 (2017) 37, No. 1 (2017) 36, No. 8 (2016) 36, No. 7 (2016) 36, No. 6 (2016) 36, No. 5 (2016) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) 35, No. 8 (2015) 35, No. 7 (2015) 35, No. 6 (2015) 35, No. 5 (2015) 35, No. 4 (2015) 35, No. 3 (2015) 35, No. 2 (2015) 35, No. 1 (2015) 34, No. 6 (2014) 34, No. 5 (2014) 34, No. 4 (2014) 34, No. 3 (2014) 34, No. 2 (2014) ...and 149 more Volumes all top 5 Authors 24 Rudolph, Daniel J. 23 Bonatti, Christian 23 Weiss, Benjamin 21 Misiurewicz, Michał 20 Urbański, Mariusz 19 Bergelson, Vitaly 19 Ye, Xiangdong 18 Glasner, Eli 18 Katok, Anatole 17 Lemańczyk, Mariusz 16 Pollicott, Mark 15 Barge, Marcy M. 15 Huang, Wen 14 Danilenko, Alexandre I. 14 del Junco, Andres 14 Dooley, Anthony Haynes 13 Bruin, Henk 13 Leibman, Alexander 13 Maass, Alejandro 13 Pavlov, Ronnie 13 Quas, Anthony 13 Yorke, James Alan 13 Young, Lai-Sang 12 Buzzi, Jérôme 12 Melbourne, Ian 12 Schmidt, Klaus 11 Bowen, Lewis Phylip 11 Host, Bernard 11 Hu, Huyi 11 Matsumoto, Kengo 11 Oprocha, Piotr 11 Pesin, Yakov Borisovich 11 Rosenblatt, Joseph Max 11 Solomyak, Boris 11 Török, Andrei 11 Varandas, Paulo 10 Aaronson, Jon 10 Assani, Idris 10 Block, Louis Stuart 10 Blokh, Alexander M. 10 Dani, Shrikrishna Gopalrao 10 Downarowicz, Tomasz 10 Einsiedler, Manfred Leopold 10 Kamae, Teturo 10 Kitchens, Bruce P. 10 Pujals, Enrique Ramiro 9 Boyle, Mike 9 Fornæss, John Erik 9 Fried, David 9 Gambaudo, Jean-Marc 9 Golodets, Valentin Yakovlevich 9 Hasselblatt, Boris 9 Haydn, Nicolai T. A. 9 Jenkinson, Oliver 9 Jones, Roger L. 9 Keller, Gerhard 9 Nicol, Matthew 9 Nitecki, Zbigniew H. 9 Nogueira, Arnaldo C. R. 9 Pacifico, Maria José 9 Parry, William 9 Rams, Michał 9 Vaienti, Sandro 8 Burns, Keith 8 Coven, Ethan M. 8 de la Llave, Rafael 8 de Rezende, Ketty Abaroa 8 Díaz, Lorenzo Justiniano 8 Fayad, Bassam R. 8 Feldman, Jacob 8 Forni, Giovanni 8 Franks, John M. 8 Góra, Paweł 8 Hamenstädt, Ursula 8 Homburg, Ale Jan 8 Kifer, Yuri 8 Kwapisz, Jaroslaw 8 Lopes, Artur Oscar 8 Niţică, Viorel 8 Pivato, Marcus 8 Putnam, Ian F. 8 Raeburn, Iain 8 Sadun, Lorenzo A. 8 Świątek, Grzegorz 8 Tsujii, Masato 8 Tuncel, Selim 8 Viana, Marcelo 8 Ward, Thomas B. 8 Wu, Weisheng 8 Yassawi, Reem 8 Yuri, Michiko 7 Auslander, Joseph 7 Baladi, Viviane 7 Barreira, Luis Manuel 7 Collet, Pierre 7 Devaney, Robert L. 7 Dolgopyat, Dmitry 7 Donoso, Sebastián 7 Durand, Fabien 7 Fenley, Sérgio R. ...and 2,855 more Authors all top 5 Fields 3,070 Dynamical systems and ergodic theory (37-XX) 551 Measure and integration (28-XX) 276 General topology (54-XX) 205 Topological groups, Lie groups (22-XX) 200 Differential geometry (53-XX) 180 Probability theory and stochastic processes (60-XX) 176 Functional analysis (46-XX) 166 Manifolds and cell complexes (57-XX) 152 Number theory (11-XX) 136 Functions of a complex variable (30-XX) 116 Operator theory (47-XX) 99 Group theory and generalizations (20-XX) 93 Global analysis, analysis on manifolds (58-XX) 79 Ordinary differential equations (34-XX) 78 Several complex variables and analytic spaces (32-XX) 58 Mechanics of particles and systems (70-XX) 46 Combinatorics (05-XX) 43 Computer science (68-XX) 32 Partial differential equations (35-XX) 31 Abstract harmonic analysis (43-XX) 30 Convex and discrete geometry (52-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Algebraic geometry (14-XX) 20 Algebraic topology (55-XX) 18 \(K\)-theory (19-XX) 17 Mathematical logic and foundations (03-XX) 17 Difference and functional equations (39-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Real functions (26-XX) 15 History and biography (01-XX) 11 Quantum theory (81-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 7 Geometry (51-XX) 7 Information and communication theory, circuits (94-XX) 6 General algebraic systems (08-XX) 6 Statistics (62-XX) 6 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Associative rings and algebras (16-XX) 5 Category theory; homological algebra (18-XX) 5 Potential theory (31-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Nonassociative rings and algebras (17-XX) 4 Optics, electromagnetic theory (78-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,096 Publications have been cited 35,602 times in 18,291 Documents Cited by ▼ Year ▼ Dimension, entropy and Lyapunov exponents. Zbl 0523.58024 Young, Lai-sang 230 1982 An amenable equivalence relation is generated by a single transformation. Zbl 0491.28018 Connes, A.; Feldman, J.; Weiss, B. 207 1981 Subadditive mean ergodic theorems. Zbl 0471.28011 Derriennic, Y.; Krengel, U. 196 1981 Repellers for real analytic maps. Zbl 0506.58024 Ruelle, David 175 1982 A probabilistic approach to intermittency. Zbl 0988.37035 Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro 165 1999 Thermodynamic formalism for countable Markov shifts. Zbl 0994.37005 Sarig, Omri M. 162 1999 Dynamical properties of plane polynomial automorphisms. Zbl 0651.58027 Friedland, Shmuel; Milnor, John 138 1989 Banach spaces adapted to Anosov systems. Zbl 1088.37010 Gouëzel, Sébastien; Liverani, Carlangelo 134 2006 Dynamics of self-similar tilings. Zbl 0884.58062 Solomyak, Boris 132 1997 Compact metric spaces, Fredholm modules, and hyperfiniteness. Zbl 0718.46051 Connes, A. 131 1989 Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033 Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F. 128 1997 Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035 Lyubich, M. Yu. 123 1983 The \(C^ 1\) closing lemma, including Hamiltonians. Zbl 0548.58012 Pugh, Charles C.; Robinson, Clark 119 1983 Topological invariants for substitution tilings and their associated \(C^*\)-algebras. Zbl 1053.46520 Anderson, Jared E.; Putnam, Ian F. 116 1998 Finite beta-expansions. Zbl 0814.68065 Frougny, Christiane; Solomyak, Boris 116 1992 Genericity of zero Lyapunov exponents. Zbl 1023.37006 Bochi, Jairo 114 2002 Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543 Durand, F.; Host, B.; Skau, C. 111 1999 Oscillation in ergodic theory. Zbl 0924.28009 Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté 104 1998 On the topological entropy of saturated sets. Zbl 1130.37329 Pfister, C.-E.; Sullivan, W. G. 102 2007 Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034 Dumortier, F.; Roussarie, R.; Sotomayor, J. 102 1987 Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008 Francoise, J. P. 99 1996 Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003 Leibman, A. 99 2005 Symbolic dynamics for \(\beta\)-shifts and self-normal numbers. Zbl 0908.58017 Schmeling, Jörg 98 1997 Weakly mixing PET. Zbl 0645.28012 Bergelson, V. 90 1987 Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004 Tao, Terence 89 2008 A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022 Ledrappier, François; Strelcyn, Jean-Marie 89 1982 Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004 Baake, Michael; Lenz, Daniel 86 2004 A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042 Barreira, Luis M. 86 1996 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035 Pesin, Ya. B.; Sinai, Ya. G. 84 1982 The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035 Lind, D. A. 84 1984 Dynamics of exp(z). Zbl 0567.58025 Devaney, Robert L.; Krych, Michal 84 1984 Dynamical systems, shape theory and the Conley index. Zbl 0682.58040 Robbin, Joel W.; Salamon, Dietmar 83 1988 Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027 Moussu, Robert 83 1982 On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020 Takens, Floris; Verbitskiy, Evgeny 83 2003 Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075 Kůrka, Petr 82 1997 Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013 Durand, Fabien 81 2000 Asymptotic formulas on flat surfaces. Zbl 1096.37501 Eskin, Alex; Masur, Howard 81 2001 Hausdorff dimension for horseshoes. Zbl 0529.58022 McCluskey, Heather; Manning, Anthony 80 1983 The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033 Katznelson, Y.; Ornstein, D. 80 1989 Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025 Krupa, Martin; Melbourne, Ian 80 1995 Geometry of the Katok examples. Zbl 0559.58027 Ziller, Wolfgang 76 1983 Some properties of absolutely continuous invariant measures on an interval. Zbl 0487.28015 Ledrappier, Francois 74 1981 Invariant curves and time-dependent potentials. Zbl 0742.34050 Laederich, Stephane; Levi, Mark 74 1991 Diffeomorphisms in \(\mathcal F^ 1(M)\) satisfy Axiom A. Zbl 0760.58035 Hayashi, Shuhei 73 1992 Frequently hypercyclic operators and vectors. Zbl 1119.47011 Bonilla, A.; Grosse-Erdmann, K.-G. 72 2007 Lyapunov minimizing measures for expanding maps of the circle. Zbl 0997.37016 Contreras, G.; Lopes, A. O.; Thieullen, Ph. 71 2001 Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005 Buzzi, Jérôme; Sarig, Omri 71 2003 Repetitive Delone sets and quasicrystals. Zbl 1062.52021 Lagarias, Jeffrey C.; Pleasants, Peter A. B. 71 2003 An ergodic theorem for iterated maps. Zbl 0621.60039 Elton, John H. 70 1987 Local analytic integrability for nilpotent centers. Zbl 1037.34025 Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 69 2003 Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019 Schmidt, Klaus 68 1981 Invariant families of cones and Lyapunov exponents. Zbl 0578.58033 Wojtkowski, Maciej 68 1985 Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077 Lyons, Russell; Pemantle, Robin; Peres, Yuval 67 1995 Schrödinger operators with dynamically defined potentials. Zbl 06823048 Damanik, David 67 2017 Mean equicontinuity and mean sensitivity. Zbl 1356.37016 Li, Jian; Tu, Siming; Ye, Xiangdong 67 2015 Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040 Pansu, Pierre 66 1983 Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023 Franks, John 65 1988 Ergodic fractal measures and dimension conservation. Zbl 1154.37322 Furstenberg, Hillel 65 2008 Proof of ‘Arnold’s theorem’ on the stability of a planetary system (following Herman). (Démonstration du ‘théorème d’arnold’ sur la stabilité du système planétaire (d’après Herman).) Zbl 1087.37506 Féjoz, Jacques 65 2004 A finiteness theorem for a dynamical class of entire functions. Zbl 0657.58011 Goldberg, Lisa R.; Keen, Linda 63 1986 Constructions in elliptic dynamics. Zbl 1089.37012 Fayad, Bassam; Katok, Anatole 62 2004 Sectional-hyperbolic systems. Zbl 1165.37010 Metzger, R.; Morales, C. 62 2008 Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035 Bayart, Frédéric; Ruzsa, Imre Z. 62 2015 The singularity spectrum f(\(\alpha\) ) for cookie-cutters. Zbl 0664.58022 Rand, D. A. 61 1989 Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077 Denker, Manfred; Philipp, Walter 61 1984 Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014 Collet, P.; Eckmann, J.-P. 60 1983 Topological complexity. Zbl 0962.37003 Blanchard, F.; Host, B.; Maass, A. 60 2000 Measures of full dimension on affine-invariant sets. Zbl 0851.58028 Kenyon, R.; Peres, Y. 60 1996 Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019 Collet, P. 60 2001 Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331 Rey-Bellet, Luc; Young, Lai-Sang 59 2008 Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026 Hu, Huyi 59 2004 On iterates of \(e^ z\). Zbl 0466.30019 Misiurewicz, Michal 59 1981 On ergodic actions whose self-joinings are graphs. Zbl 0646.60010 Del Junco, A.; Rudolph, D. 58 1987 Entropy and closed geodesics. Zbl 0525.58027 Katok, A. 57 1982 The gradient structure of a flow. I. Zbl 0687.58033 Conley, C. 57 1988 Null systems and sequence entropy pairs. Zbl 1134.37308 Huang, W.; Li, S. M.; Shao, S.; Ye, X. D. 57 2003 SRB measures as zero-noise limits. Zbl 1098.37020 Cowieson, William; Young, Lai-Sang 57 2005 Commutators and diffeomorphisms of surfaces. Zbl 1088.37018 Gambaudo, Jean-Marc; Ghys, Étienne 57 2004 Entropy and volume. Zbl 0638.58016 Newhouse, Sheldon E. 56 1988 Resonance between Cantor sets. Zbl 1159.37005 Peres, Yuval; Shmerkin, Pablo 56 2009 \(\times 2\) and \(\times 3\) invariant measures and entropy. Zbl 0709.28013 Rudolph, Daniel J. 56 1990 Rigidity in topological dynamics. Zbl 0661.58027 Glasner, S.; Maon, D. 55 1989 Poisson law for Axiom A diffeomorphism. Zbl 0828.58026 Hirata, Masaki 55 1993 Topological entropy for divergence points. Zbl 1098.37013 Ercai, Chen; Küpper, Tassilo; Lin, Shu 55 2005 Characterization of model sets by dynamical systems. Zbl 1114.82022 Baake, Michael; Lenz, Daniel; Moody, Robert V. 54 2007 Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029 Pesin, Ya. B. 54 1992 Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021 Katok, A.; Spatzier, R. J. 54 1996 The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018 Kaplan, James L.; Mallet-Paret, John; Yorke, James A. 53 1984 Poisson limit law for Markov chains. Zbl 0753.60058 Pitskel, B. 53 1991 An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002 Fadell, Edward; Husseini, Sufian 52 1988 Valeurs propres des systèmes dynamiques définis par des substitutions de longuer variable. (Eigenvalues of dynamical systems defined by substitutions of non-constant length). Zbl 0625.28011 Host, B. 52 1986 A new look at the crossed-product of a \(C^ *\)-algebra by an endomorphism. Zbl 1059.46050 Exel, Ruy 52 2003 On Khintchine exponents and Lyapunov exponents of continued fractions. Zbl 1158.37019 Fan, Aihua; Liao, Lingmin; Wang, Baowei; Wu, Jun 52 2009 Automorphisms of compact groups. Zbl 0709.54023 Kitchens, Bruce; Schmidt, Klaus 52 1989 The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008 Wilson, George 51 1981 Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058 Dolgopyat, Dmitry 51 1998 Regular periodic decompositions for topologically transitive maps. Zbl 0921.54029 Banks, John 51 1997 Quadratic stochastic operators and zero-sum game dynamics. Zbl 1352.37026 Ganikhodjaev, Nasir N.; Ganikhodjaev, Rasul N.; Jamilov, U. U. 51 2015 Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Zbl 1205.37015 Froyland, Gary; Lloyd, Simon; Quas, Anthony 50 2010 The rate of mixing for geodesic and horocycle flows. Zbl 0623.22008 Ratner, Marina 50 1987 Zero Entropy actions of amenable groups are not dominant. Zbl 07793986 Lott, Adam 1 2024 Grid method for divergence of averages. Zbl 07793987 Mondal, Sovanlal 1 2024 Packing topological entropy for amenable group actions. Zbl 1521.37017 Dou, Dou; Zheng, Dongmei; Zhou, Xiaomin 5 2023 Dynamical behavior of alternate base expansions. Zbl 1525.11009 Charlier, Émilie; Cisternino, Célia; Dajani, Karma 4 2023 Dynamics of Newton maps. Zbl 1522.37062 Wang, Xiaoguang; Yin, Yongcheng; Zeng, Jinsong 4 2023 Measure-theoretically mixing subshifts with low complexity. Zbl 1526.37016 Creutz, Darren; Pavlov, Ronnie; Rodock, Shaun 4 2023 An uncountable Moore-Schmidt theorem. Zbl 1521.37002 Jamneshan, Asgar; Tao, Terence 4 2023 Flows, growth rates, and the veering polynomial. Zbl 07732817 Landry, Michael P.; Minsky, Yair N.; Taylor, Samuel J. 4 2023 Statistical stability and linear response for random hyperbolic dynamics. Zbl 1517.37057 Dragičević, Davor; Sedro, Julien 3 2023 Random Young towers and quenched limit laws. Zbl 1517.37058 Su, Yaofeng 3 2023 New approach to weighted topological entropy and pressure. Zbl 1517.37039 Tsukamoto, Masaki 3 2023 An uncountable Furstenberg-Zimmer structure theory. Zbl 07702431 Jamneshan, Asgar 3 2023 Conjugacy of local homeomorphisms via groupoids and C*-algebras. Zbl 1523.37014 Armstrong, Becky; Aguyar Brix, Kevin; Meier Carlsen, Toke; Eilers, Søren 3 2023 Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set. Zbl 07714663 Li, Bixuan; Wang, Baowei; Xu, Jian 3 2023 Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers. Zbl 07680091 Brunet, Guilhem 2 2023 Dendrites and measures with discrete spectrum. Zbl 1517.37025 Foryś-Krawiec, Magdalena; Hantáková, Jana; Kupka, Jiří; Oprocha, Piotr; Roth, Samuel 2 2023 On \(C^0\)-genericity of distributional chaos. Zbl 1517.37014 Kawaguchi, Noriaki 2 2023 Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2. Zbl 1526.37052 Arnaud, Marie-Claude; Zavidovique, Maxime 2 2023 Bounds for a nonlinear ergodic theorem for Banach spaces. Zbl 07680136 Freund, Anton; Kohlenbach, Ulrich 2 2023 Proper \(3\)-colorings of \(\mathbb{Z}^2\) are Bernoulli. Zbl 1523.60170 Ray, Gourab; Spinka, Yinon 2 2023 An ergodic system is dominant exactly when it has positive entropy. Zbl 07778926 Austin, Tim; Glasner, Eli; Thouvenot, Jean-Paul; Weiss, Benjamin 2 2023 Some remarks on oscillation inequalities. Zbl 07778933 Mirek, Mariusz; Słomian, Wojciech; Szarek, Tomasz Z. 2 2023 Directed harmonic currents near non-hyperbolic linearizable singularities. Zbl 1517.32056 Chen, Zhangchi 2 2023 \(J^+\)-invariants for planar two-center Stark-Zeeman systems. Zbl 1527.70010 Cieliebak, Kai; Frauenfelder, Urs; Zhao, Lei 2 2023 The geometric index and attractors of homeomorphisms of \(\mathbb{R}^3\). Zbl 1523.37048 Barge, H.; Sánchez-Gabites, J. J. 2 2023 S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps. Zbl 07714647 Bobok, Jozef; Činč, Jernej; Oprocha, Piotr; Troubetzkoy, Serge 2 2023 Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces. Zbl 07714649 Duchesne, Bruno; Lécureux, Jean; Pozzetti, Maria Beatrice 2 2023 Equidistribution of horospheres in non-positive curvature. Zbl 1516.37005 Burniol Clotet, Sergi 1 2023 Typical properties of periodic Teichmüller geodesics: Lyapunov exponents. Zbl 1517.37041 Hamenstädt, Ursula 1 2023 Minimally critical regular endomorphisms of \(\mathbb{A}^N\). Zbl 1517.37095 Ingram, Patrick 1 2023 Julia sets of Zorich maps. Zbl 1523.37055 Tsantaris, Athanasios 1 2023 Large deviation principle for piecewise monotonic maps with density of periodic measures. Zbl 1525.37034 Chung, Yong Moo; Yamamoto, Kenichiro 1 2023 Entropy, products, and bounded orbit equivalence. Zbl 1517.37007 Kerr, David; Li, Hanfeng 1 2023 Continuity of critical exponent of quasiconvex-cocompact groups under Gromov-Hausdorff convergence. Zbl 1525.53053 Cavallucci, Nicola 1 2023 Oscillating simply connected wandering domains. Zbl 1523.37054 Evdoridou, Vasiliki; Rippon, Philip J.; Stallard, Gwyneth M. 1 2023 Decay of correlations for certain isometric extensions of Anosov flows. Zbl 1517.37035 Siddiqi, Salman 1 2023 Symbolic factors of \(\mathcal{S}\)-adic subshifts of finite alphabet rank. Zbl 1523.37022 Espinoza, Bastián 1 2023 Topological structure of the sum of two homogeneous Cantor sets. Zbl 07680140 Pourbarat, Mehdi 1 2023 Zero entropy and stable rotation sets for monotone recurrence relations. Zbl 1517.37027 Qin, Wen-Xin; Shen, Bai-Nian; Sun, Yi-Lin; Zhou, Tong 1 2023 Fractal projections with an application in number theory. Zbl 1527.11008 Yu, Han 1 2023 Critical values for the \(\beta\)-transformation with a hole at \(0\). Zbl 1518.37013 Allaart, Pieter; Kong, Derong 1 2023 Bowen-Walters expansiveness for semigroups of linear operators. Zbl 07682664 Lee, J.; Morales, C. A. 1 2023 Disjointness for measurably distal group actions and applications. Zbl 1518.37004 Moreira, Joel; Richter, Florian K.; Robertson, Donald 1 2023 Geometric and combinatorial properties of self-similar multifractal measures. Zbl 07682668 Rutar, Alex 1 2023 Critical recurrence in the real quadratic family. Zbl 07778928 Bylund, Mats 1 2023 On invariant subalgebras of group \(C^*\) and von Neumann algebras. Zbl 07778931 Kalantar, Mehrdad; Panagopoulos, Nikolaos 1 2023 The structure of pointwise recurrent expansive homeomorphisms. Zbl 07778935 Shi, Enhui; Xu, Hui; Yu, Ziqi 1 2023 Mixing and rigidity along asymptotically linearly independent sequences. Zbl 07778937 Zelada, Rigoberto 1 2023 A dynamical approach to the asymptotic behavior of the sequence \(\Omega(n)\). Zbl 07778993 Loyd, Kaitlyn 1 2023 Orbit equivalence superrigidity for type III\(_0\) actions. Zbl 07779010 Vaes, Stefaan; Verjans, Bram 1 2023 Existence and non-existence of solutions to the coboundary equation for measure-preserving systems. Zbl 07702422 Adams, Terry; Rosenblatt, Joseph 1 2023 Iterative square roots of functions. Zbl 1525.39015 Bhat, B. V. Rajarama; Gopalakrishna, Chaitanya 1 2023 Homotopy Hubbard trees for post-singularly finite exponential maps. Zbl 07714651 Pfrang, David; Rothgang, Michael; Schleicher, Dierk 1 2023 Host-Kra theory for \(\bigoplus_{p\in P}{\mathbb{F}}_p\)-systems and multiple recurrence. Zbl 1525.37051 Shalom, Or 1 2023 Quasi-adelic measures and equidistribution on \(\mathbb{P}^1\). Zbl 07714664 Mavraki, Niki Myrto; Ye, Hexi 1 2023 Periodic expansion of one by Salem numbers. Zbl 07732810 Akiyama, Shigeki; Hichri, Hachem 1 2023 Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups. Zbl 1526.37015 Bland, Robert; Mcgoff, Kevin; Pavlov, Ronnie 1 2023 On conjugacy of natural extensions of one-dimensional maps. Zbl 07732813 Boroński, J.; Minc, P.; Štimac, S. 1 2023 Correlation of the renormalized Hilbert length for convex projective surfaces. Zbl 1527.37038 Dai, Xian; Martone, Giuseppe 1 2023 The Assouad dimension of self-affine measures on sponges. Zbl 07732815 Fraser, Jonathan M.; Kolossváry, István 1 2023 Perturbations of graphs for Newton maps. I: bounded hyperbolic components. Zbl 1528.37040 Gao, Yan; Nie, Hongming 1 2023 On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz-Krieger algebras. Zbl 1503.37020 Matsumoto, Kengo 9 2022 Arithmeticity of hyperbolic \(3\)-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017 Mohammadi, Amir; Margulis, Gregorii 8 2022 Flexibility of Lyapunov exponents. Zbl 1495.37024 Bochi, J.; Katok, A.; Rodriguez Hertz, F. 6 2022 Dynamical Borel-Cantelli lemma for recurrence theory. Zbl 1507.37001 Hussain, Mumtaz; Li, Bing; Simmons, David; Wang, Baowei 6 2022 Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups. 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Zbl 1507.37002 Pyörälä, Aleksi 2 2022 ...and 1578 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,223 Authors 81 Llibre, Jaume 76 Urbański, Mariusz 68 Pollicott, Mark 64 Oprocha, Piotr 61 Varandas, Paulo 58 Huang, Wen 58 Ye, Xiangdong 56 Morales Rojas, Carlos Arnoldo 55 Bruin, Henk 52 Lee, Manseob 52 Melbourne, Ian 51 Lopes, Artur Oscar 51 Vaienti, Sandro 50 Damanik, David 50 de la Llave, Rafael 48 Avila, Artur 47 Barreira, Luis Manuel 47 Bergelson, Vitaly 47 Chen, Ercai 46 Blokh, Alexander M. 46 Giné, Jaume 45 Lemańczyk, Mariusz 44 Rams, Michał 43 Bessa, Mário 43 Bonatti, Christian 43 Valls Anglés, Cláudia 40 Matsumoto, Kengo 39 Lenz, Daniel H. 38 Baake, Michael 38 Glasner, Eli 38 Xu, Junxiang 36 Algaba, Antonio 36 Raeburn, Iain 36 Solomyak, Boris 35 Fraser, Jonathan MacDonald 34 Cao, Yongluo 34 Dragičević, Davor 34 Gelfert, Katrin Grit 34 Jørgensen, Palle E. T. 34 Mukhamedov, Farruh Maksutovich 34 Sims, Aidan 33 Dolgopyat, Dmitry 32 Bowen, Lewis Phylip 32 Li, Jian 32 Misiurewicz, Michał 32 Peris, Alfredo 31 Crovisier, Sylvain 31 Danilenko, Alexandre I. 31 Díaz, Lorenzo Justiniano 31 Jamilov, Uygun U. 31 Lindenstrauss, Elon 31 Pavlov, Ronnie 31 Sharp, Richard W. 30 Araújo, Vítor 30 Ban, Jungchao 30 Berthé, Valérie 30 Downarowicz, Tomasz 30 Gentile, Guido 30 Oertel-Jäger, Tobias Hendrik 30 Kifer, Yuri 30 Li, Bing 30 Oversteegen, Lex G. 30 Pacifico, Maria José 30 Pesin, Yakov Borisovich 30 Potrie, Rafael 30 Todd, Mike 30 Zhao, Yun 29 Feng, De-Jun 29 Galatolo, Stefano 29 Ioana, Adrian 29 Mischaikow, Konstantin 29 Morris, Ian D. 29 Quas, Anthony 29 Viana, Marcelo 29 Yang, Jiagang 28 Baladi, Viviane 28 Devaney, Robert L. 28 Einsiedler, Manfred Leopold 28 Haydn, Nicolai T. A. 28 Kesseböhmer, Marc 28 Kra, Bryna 28 Nicol, Matthew 28 Ryzhikov, Valeriĭ Valentinovich 28 Schmidt, Klaus 28 Tao, Terence 28 van Strien, Sebastian J. 27 Boyle, Mike 27 Frantzikinakis, Nikos 27 Hubert, Pascal 27 Keller, Gerhard 27 Li, Zhiming 27 Liverani, Carlangelo 27 Lyubich, Mikhail 27 Rodriguez-Hertz, Federico 27 Shmerkin, Pablo S. 27 Sun, Taixiang 27 Weiss, Benjamin 27 Yorke, James Alan 26 Alsedà, Lluís 26 Artigue, Alfonso ...and 11,123 more Authors all top 5 Cited in 737 Journals 1,355 Ergodic Theory and Dynamical Systems 599 Transactions of the American Mathematical Society 523 Proceedings of the American Mathematical Society 505 Communications in Mathematical Physics 492 Israel Journal of Mathematics 481 Discrete and Continuous Dynamical Systems 449 Journal of Mathematical Analysis and Applications 429 Journal of Differential Equations 390 Advances in Mathematics 350 Nonlinearity 318 Topology and its Applications 296 Journal of Statistical Physics 264 Journal of Functional Analysis 252 Dynamical Systems 249 Inventiones Mathematicae 241 Physica D 202 Mathematische Zeitschrift 196 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 190 Journal of Dynamics and Differential Equations 173 Journal d’Analyse Mathématique 172 Chaos, Solitons and Fractals 168 Annales de l’Institut Fourier 167 Qualitative Theory of Dynamical Systems 162 Monatshefte für Mathematik 154 Duke Mathematical Journal 154 Geometriae Dedicata 154 Journal of Modern Dynamics 152 Chaos 145 Mathematische Annalen 141 Theoretical Computer Science 133 Journal of Difference Equations and Applications 126 Geometric and Functional Analysis. GAFA 126 Stochastics and Dynamics 124 Journal of Mathematical Physics 109 Comptes Rendus. Mathématique. Académie des Sciences, Paris 104 Acta Mathematica Sinica. English Series 95 Journal of the European Mathematical Society (JEMS) 94 Geometry & Topology 92 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 89 Annals of Mathematics. Second Series 88 Groups, Geometry, and Dynamics 87 Indagationes Mathematicae. New Series 86 Regular and Chaotic Dynamics 85 Mathematical Proceedings of the Cambridge Philosophical Society 84 Journal of Number Theory 81 Annales Henri Poincaré 80 Bulletin of the American Mathematical Society. New Series 78 Journal of Mathematical Sciences (New York) 76 Conformal Geometry and Dynamics 75 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 75 Journal of the American Mathematical Society 75 Journal of Dynamical and Control Systems 72 Bulletin of the Brazilian Mathematical Society. New Series 70 Science China. Mathematics 68 The Journal of Geometric Analysis 67 International Journal of Mathematics 66 Stochastic Processes and their Applications 64 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 64 Bulletin de la Société Mathématique de France 63 Journal of Geometry and Physics 60 Journal of the London Mathematical Society. Second Series 59 Probability Theory and Related Fields 56 The Annals of Probability 56 Journal of Nonlinear Science 54 Bulletin of the Australian Mathematical Society 54 Discrete and Continuous Dynamical Systems. Series B 54 Journal of Fixed Point Theory and Applications 51 Acta Mathematica 50 Journal of Algebra 50 Fractals 49 Bulletin of the London Mathematical Society 49 Fundamenta Mathematicae 49 Journal für die Reine und Angewandte Mathematik 49 Communications in Nonlinear Science and Numerical Simulation 48 Algebraic & Geometric Topology 47 Mathematical Notes 47 SIAM Journal on Applied Dynamical Systems 45 Acta Applicandae Mathematicae 45 Linear Algebra and its Applications 45 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 44 Memoirs of the American Mathematical Society 44 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 43 Studia Mathematica 42 Compositio Mathematica 40 Bulletin des Sciences Mathématiques 39 Rocky Mountain Journal of Mathematics 39 Celestial Mechanics and Dynamical Astronomy 38 Proceedings of the London Mathematical Society. Third Series 37 Publications Mathématiques 37 Experimental Mathematics 37 Calculus of Variations and Partial Differential Equations 35 Journal of Pure and Applied Algebra 35 Boletim da Sociedade Brasileira de Matemática. Nova Série 34 Illinois Journal of Mathematics 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 Journal of the Australian Mathematical Society 34 Proceedings of the Steklov Institute of Mathematics 34 Arnold Mathematical Journal 32 Semigroup Forum 32 Journal of Topology and Analysis ...and 637 more Journals all top 5 Cited in 62 Fields 12,286 Dynamical systems and ergodic theory (37-XX) 2,105 Measure and integration (28-XX) 1,396 Probability theory and stochastic processes (60-XX) 1,303 Functional analysis (46-XX) 1,300 Number theory (11-XX) 1,286 Ordinary differential equations (34-XX) 1,084 General topology (54-XX) 1,069 Differential geometry (53-XX) 1,005 Operator theory (47-XX) 937 Functions of a complex variable (30-XX) 929 Topological groups, Lie groups (22-XX) 909 Group theory and generalizations (20-XX) 840 Manifolds and cell complexes (57-XX) 682 Mechanics of particles and systems (70-XX) 606 Global analysis, analysis on manifolds (58-XX) 569 Partial differential equations (35-XX) 549 Several complex variables and analytic spaces (32-XX) 523 Computer science (68-XX) 487 Combinatorics (05-XX) 474 Statistical mechanics, structure of matter (82-XX) 318 Convex and discrete geometry (52-XX) 289 Quantum theory (81-XX) 276 Abstract harmonic analysis (43-XX) 259 Harmonic analysis on Euclidean spaces (42-XX) 255 Algebraic geometry (14-XX) 253 Biology and other natural sciences (92-XX) 236 Mathematical logic and foundations (03-XX) 197 Real functions (26-XX) 190 Algebraic topology (55-XX) 160 Difference and functional equations (39-XX) 150 Numerical analysis (65-XX) 132 Information and communication theory, circuits (94-XX) 122 Linear and multilinear algebra; matrix theory (15-XX) 115 Associative rings and algebras (16-XX) 113 Calculus of variations and optimal control; optimization (49-XX) 111 Fluid mechanics (76-XX) 110 Systems theory; control (93-XX) 94 Geometry (51-XX) 92 \(K\)-theory (19-XX) 90 Statistics (62-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Nonassociative rings and algebras (17-XX) 65 Potential theory (31-XX) 59 Category theory; homological algebra (18-XX) 56 General and overarching topics; collections (00-XX) 54 Order, lattices, ordered algebraic structures (06-XX) 44 History and biography (01-XX) 44 Operations research, mathematical programming (90-XX) 42 Field theory and polynomials (12-XX) 39 Optics, electromagnetic theory (78-XX) 36 Sequences, series, summability (40-XX) 34 Commutative algebra (13-XX) 32 Special functions (33-XX) 31 Approximations and expansions (41-XX) 30 Integral transforms, operational calculus (44-XX) 28 Relativity and gravitational theory (83-XX) 22 Mechanics of deformable solids (74-XX) 21 Geophysics (86-XX) 17 General algebraic systems (08-XX) 17 Integral equations (45-XX) 9 Classical thermodynamics, heat transfer (80-XX) 6 Astronomy and astrophysics (85-XX) Citations by Year