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: Indexed cover-to-cover Documents Indexed: 3,365 Publications (since 1981) References Indexed: 2,304 Publications with 48,721 References. all top 5 Latest Issues 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) 34, No. 1 (2014) 33, No. 6 (2013) 33, No. 5 (2013) 33, No. 4 (2013) 33, No. 3 (2013) 33, No. 2 (2013) 33, No. 1 (2013) 32, No. 6 (2012) 32, No. 5 (2012) 32, No. 4 (2012) 32, No. 3 (2012) 32, No. 2 (2012) 32, No. 1 (2012) 31, No. 6 (2011) 31, No. 5 (2011) ...and 134 more Volumes all top 5 Authors 24 Rudolph, Daniel J. 22 Bonatti, Christian 22 Weiss, Benjamin 20 Misiurewicz, Michał 20 Urbański, Mariusz 19 Bergelson, Vitaly 18 Katok, Anatole 18 Ye, Xiangdong 17 Glasner, Eli 16 Lemańczyk, Mariusz 16 Pollicott, Mark 15 Barge, Marcy M. 14 del Junco, Andres 14 Huang, Wen 13 Bruin, Henk 13 Danilenko, Alexandre I. 13 Dooley, Anthony Haynes 13 Leibman, Alexander 13 Maass, Alejandro 13 Yorke, James Alan 13 Young, Lai-Sang 12 Buzzi, Jérôme 12 Melbourne, Ian 12 Quas, Anthony 12 Schmidt, Klaus 11 Bowen, Lewis Phylip 11 Host, Bernard 11 Hu, Huyi 11 Matsumoto, Kengo 11 Pesin, Yakov Borisovich 11 Solomyak, Boris 11 Török, Andrei 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 Pavlov, Ronnie 10 Rosenblatt, Joseph Max 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 Oprocha, Piotr 9 Pacifico, Maria José 9 Parry, William 9 Pujals, Enrique Ramiro 9 Rams, Michał 9 Varandas, Paulo 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 Homburg, Ale Jan 8 Kifer, Yuri 8 Kwapisz, Jaroslaw 8 Lopes, Artur Oscar 8 Niţică, Viorel 8 Pivato, Marcus 8 Raeburn, Iain 8 Sadun, Lorenzo A. 8 Świątek, Grzegorz 8 Thomsen, Klaus E. 8 Tuncel, Selim 8 Vaienti, Sandro 8 Ward, Thomas B. 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 Fiebig, Doris 7 Fiebig, Ulf-Rainer 7 Hamenstädt, Ursula 7 Hochman, Michael 7 Hurder, Steven E. 7 Hurley, Mike 7 Katok, Svetlana R. ...and 2,690 more Authors all top 5 Fields 2,912 Dynamical systems and ergodic theory (37-XX) 527 Measure and integration (28-XX) 273 General topology (54-XX) 193 Differential geometry (53-XX) 190 Topological groups, Lie groups (22-XX) 169 Functional analysis (46-XX) 169 Probability theory and stochastic processes (60-XX) 155 Manifolds and cell complexes (57-XX) 140 Number theory (11-XX) 127 Functions of a complex variable (30-XX) 108 Operator theory (47-XX) 90 Group theory and generalizations (20-XX) 90 Global analysis, analysis on manifolds (58-XX) 79 Ordinary differential equations (34-XX) 70 Several complex variables and analytic spaces (32-XX) 57 Mechanics of particles and systems (70-XX) 45 Combinatorics (05-XX) 41 Computer science (68-XX) 32 Partial differential equations (35-XX) 30 Abstract harmonic analysis (43-XX) 29 Convex and discrete geometry (52-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Algebraic geometry (14-XX) 19 Algebraic topology (55-XX) 17 \(K\)-theory (19-XX) 15 History and biography (01-XX) 15 Mathematical logic and foundations (03-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Real functions (26-XX) 14 Difference and functional equations (39-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 Potential theory (31-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Order, lattices, ordered algebraic structures (06-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) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-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 2,903 Publications have been cited 31,382 times in 16,301 Documents Cited by ▼ Year ▼ Dimension, entropy and Lyapunov exponents. Zbl 0523.58024Young, Lai-sang 215 1982 An amenable equivalence relation is generated by a single transformation. Zbl 0491.28018Connes, A.; Feldman, J.; Weiss, B. 194 1981 Subadditive mean ergodic theorems. Zbl 0471.28011Derriennic, Y.; Krengel, U. 182 1981 Repellers for real analytic maps. Zbl 0506.58024Ruelle, David 156 1982 A probabilistic approach to intermittency. Zbl 0988.37035Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro 147 1999 Thermodynamic formalism for countable Markov shifts. Zbl 0994.37005Sarig, Omri M. 145 1999 Dynamics of self-similar tilings. Zbl 0884.58062Solomyak, Boris 125 1997 Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F. 121 1997 Dynamical properties of plane polynomial automorphisms. Zbl 0651.58027Friedland, Shmuel; Milnor, John 121 1989 Compact metric spaces, Fredholm modules, and hyperfiniteness. Zbl 0718.46051Connes, A. 115 1989 The \(C^ 1\) closing lemma, including Hamiltonians. Zbl 0548.58012Pugh, Charles C.; Robinson, Clark 114 1983 Topological invariants for substitution tilings and their associated \(C^*\)-algebras. Zbl 1053.46520Anderson, Jared E.; Putnam, Ian F. 111 1998 Banach spaces adapted to Anosov systems. Zbl 1088.37010Gouëzel, Sébastien; Liverani, Carlangelo 109 2006 Finite beta-expansions. Zbl 0814.68065Frougny, Christiane; Solomyak, Boris 108 1992 Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035Lyubich, M. Yu. 107 1983 Genericity of zero Lyapunov exponents. Zbl 1023.37006Bochi, Jairo 102 2002 Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543Durand, F.; Host, B.; Skau, C. 96 1999 Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008Francoise, J. P. 94 1996 Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034Dumortier, F.; Roussarie, R.; Sotomayor, J. 92 1987 Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003Leibman, A. 88 2005 Symbolic dynamics for \(\beta\)-shifts and self-normal numbers. Zbl 0908.58017Schmeling, Jörg 87 1997 Oscillation in ergodic theory. Zbl 0924.28009Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté 85 1998 On the topological entropy of saturated sets. Zbl 1130.37329Pfister, C.-E.; Sullivan, W. G. 85 2007 Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027Moussu, Robert 80 1982 Weakly mixing PET. Zbl 0645.28012Bergelson, V. 79 1987 A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022Ledrappier, François; Strelcyn, Jean-Marie 79 1982 Dynamical systems, shape theory and the Conley index. Zbl 0682.58040Robbin, Joel W.; Salamon, Dietmar 78 1988 A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042Barreira, Luis M. 77 1996 The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035Lind, D. A. 77 1984 Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075Kůrka, Petr 77 1997 The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033Katznelson, Y.; Ornstein, D. 76 1989 Dynamics of exp(z). Zbl 0567.58025Devaney, Robert L.; Krych, Michal 76 1984 Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004Tao, Terence 76 2008 Hausdorff dimension for horseshoes. Zbl 0529.58022McCluskey, Heather; Manning, Anthony 75 1983 Asymptotic formulas on flat surfaces. Zbl 1096.37501Eskin, Alex; Masur, Howard 75 2001 Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004Baake, Michael; Lenz, Daniel 75 2004 Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013Durand, Fabien 74 2000 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035Pesin, Ya. B.; Sinai, Ya. G. 73 1982 Geometry of the Katok examples. Zbl 0559.58027Ziller, Wolfgang 73 1983 Some properties of absolutely continuous invariant measures on an interval. Zbl 0487.28015Ledrappier, Francois 72 1981 On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020Takens, Floris; Verbitskiy, Evgeny 72 2003 Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025Krupa, Martin; Melbourne, Ian 70 1995 Invariant curves and time-dependent potentials. Zbl 0742.34050Laederich, Stephane; Levi, Mark 67 1991 Diffeomorphisms in \(\mathcal F^ 1(M)\) satisfy Axiom A. Zbl 0760.58035Hayashi, Shuhei 67 1992 Lyapunov minimizing measures for expanding maps of the circle. Zbl 0997.37016Contreras, G.; Lopes, A. O.; Thieullen, Ph. 66 2001 Invariant families of cones and Lyapunov exponents. Zbl 0578.58033Wojtkowski, Maciej 66 1985 Repetitive Delone sets and quasicrystals. Zbl 1062.52021Lagarias, Jeffrey C.; Pleasants, Peter A. B. 66 2003 An ergodic theorem for iterated maps. Zbl 0621.60039Elton, John H. 65 1987 Local analytic integrability for nilpotent centers. Zbl 1037.34025Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 65 2003 Frequently hypercyclic operators and vectors. Zbl 1119.47011Bonilla, A.; Grosse-Erdmann, K.-G. 65 2007 Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077Lyons, Russell; Pemantle, Robin; Peres, Yuval 64 1995 Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019Schmidt, Klaus 64 1981 Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005Buzzi, Jérôme; Sarig, Omri 64 2003 Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019Collet, P. 60 2001 Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040Pansu, Pierre 59 1983 Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035Bayart, Frédéric; Ruzsa, Imre Z. 58 2015 Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023Franks, John 58 1988 The singularity spectrum f(\(\alpha\) ) for cookie-cutters. Zbl 0664.58022Rand, D. A. 58 1989 Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014Collet, P.; Eckmann, J.-P. 57 1983 Ergodic fractal measures and dimension conservation. Zbl 1154.37322Furstenberg, Hillel 57 2008 Sectional-hyperbolic systems. Zbl 1165.37010Metzger, R.; Morales, C. 56 2008 On ergodic actions whose self-joinings are graphs. Zbl 0646.60010Del Junco, A.; Rudolph, D. 56 1987 The gradient structure of a flow. I. Zbl 0687.58033Conley, C. 56 1988 Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077Denker, Manfred; Philipp, Walter 56 1984 Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331Rey-Bellet, Luc; Young, Lai-Sang 56 2008 A finiteness theorem for a dynamical class of entire functions. Zbl 0657.58011Goldberg, Lisa R.; Keen, Linda 56 1986 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 1087.37506Féjoz, Jacques 56 2004 Topological complexity. Zbl 0962.37003Blanchard, F.; Host, B.; Maass, A. 55 2000 Poisson law for Axiom A diffeomorphism. Zbl 0828.58026Hirata, Masaki 55 1993 Constructions in elliptic dynamics. Zbl 1089.37012Fayad, Bassam; Katok, Anatole 55 2004 Mean equicontinuity and mean sensitivity. Zbl 1356.37016Li, Jian; Tu, Siming; Ye, Xiangdong 54 2015 Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021Katok, A.; Spatzier, R. J. 53 1996 On iterates of \(e^ z\). Zbl 0466.30019Misiurewicz, Michal 53 1981 Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026Hu, Huyi 53 2004 Entropy and closed geodesics. Zbl 0525.58027Katok, A. 52 1982 Commutators and diffeomorphisms of surfaces. Zbl 1088.37018Gambaudo, Jean-Marc; Ghys, Étienne 52 2004 Resonance between Cantor sets. Zbl 1159.37005Peres, Yuval; Shmerkin, Pablo 51 2009 Poisson limit law for Markov chains. Zbl 0753.60058Pitskel, B. 51 1991 Entropy and volume. Zbl 0638.58016Newhouse, Sheldon E. 50 1988 Topological entropy for divergence points. Zbl 1098.37013Ercai, Chen; Küpper, Tassilo; Lin, Shu 50 2005 \(\times 2\) and \(\times 3\) invariant measures and entropy. Zbl 0709.28013Rudolph, Daniel J. 50 1990 Schrödinger operators with dynamically defined potentials. Zbl 06823048Damanik, David 50 2017 The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018Kaplan, James L.; Mallet-Paret, John; Yorke, James A. 49 1984 Regular periodic decompositions for topologically transitive maps. Zbl 0921.54029Banks, John 49 1997 Null systems and sequence entropy pairs. Zbl 1134.37308Huang, W.; Li, S. M.; Shao, S.; Ye, X. D. 49 2003 Characterization of model sets by dynamical systems. Zbl 1114.82022Baake, Michael; Lenz, Daniel; Moody, Robert V. 49 2007 On dynamics of triangular maps of the square. Zbl 0784.58038Kolyada, S. F. 48 1992 Measures of full dimension on affine-invariant sets. Zbl 0851.58028Kenyon, R.; Peres, Y. 48 1996 Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058Dolgopyat, Dmitry 48 1998 A new look at the crossed-product of a \(C^ *\)-algebra by an endomorphism. Zbl 1059.46050Exel, Ruy 48 2003 Automorphisms of compact groups. Zbl 0709.54023Kitchens, Bruce; Schmidt, Klaus 48 1989 An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002Fadell, Edward; Husseini, Sufian 48 1988 Existence of invariant tori in volume-preserving diffeomorphisms. Zbl 0768.58042Xia, Zhihong 46 1992 Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029Pesin, Ya. B. 46 1992 Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Zbl 1205.37015Froyland, Gary; Lloyd, Simon; Quas, Anthony 46 2010 SRB measures as zero-noise limits. Zbl 1098.37020Cowieson, William; Young, Lai-Sang 46 2005 The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008Wilson, George 46 1981 Adapted metrics for dominated splittings. Zbl 1127.37031Gourmelon, Nikolaz 46 2007 Rigidity in topological dynamics. Zbl 0661.58027Glasner, S.; Maon, D. 46 1989 Dynamics of entire functions near the essential singularity. Zbl 0612.58020Devaney, Robert L.; Tangerman, Folkert 45 1986 There are no deviations for the ergodic averages of Giulietti-Liverani horocycle flows on the two-torus. Zbl 1487.37005Baladi, Viviane 4 2022 Arithmeticity of hyperbolic \(3\)-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017Mohammadi, Amir; Margulis, Gregorii 4 2022 Equivariant wrapped Floer homology and symmetric periodic Reeb orbits. Zbl 07543036Kim, Joontae; Kim, Seongchan; Kwon, Myeonggi 3 2022 The number of ergodic measures for transitive subshifts under the regular bispecial condition. Zbl 1489.37016Damron, Michael; Fickenscher, Jon 2 2022 Invariant densities for random systems of the interval. Zbl 1486.37022Kalle, Charlene; Maggioni, Marta 2 2022 Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups. Zbl 1489.37037Abrams, Adam; Katok, Svetlana; Ugarcovici, Ilie 2 2022 Geodesic planes in geometrically finite acylindrical 3-manifolds. Zbl 1485.37005Benoist, Yves; Oh, Hee 2 2022 On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. Zbl 1491.37031Forni, Giovanni 2 2022 Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli. Zbl 1496.37001Gerber, Marlies; Kunde, Philipp 2 2022 Entropies and volume growth of unstable manifolds. Zbl 1492.37031Zang, Yuntao 2 2022 A piecewise smooth Fermi-Ulam pingpong with potential. Zbl 07543040Zhou, Jing 2 2022 Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. Zbl 07554507Bahsoun, Wael; Liverani, Carlangelo 2 2022 Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy. Zbl 1489.37052Aguyar Brix, Kevin 1 2022 Generic homeomorphisms have full metric mean dimension. Zbl 1486.37016Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo 1 2022 A variational principle for the metric mean dimension of free semigroup actions. Zbl 1485.37010Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo 1 2022 Pseudorotations of the \(2\)-disc and Reeb flows on the \(3\)-sphere. Zbl 07457811Albers, Peter; Geiges, Hansjörg; Zehmisch, Kai 1 2022 Non-differentiable irrational curves for \(C^1\) twist map. Zbl 1490.37057Avila, Artur; Fayad, Bassam 1 2022 Flexibility of Lyapunov exponents. Zbl 1495.37024Bochi, J.; Katok, A.; Rodriguez Hertz, F. 1 2022 Flexibility of Lyapunov exponents with respect to two classes of measures on the torus. Zbl 1495.37031Erchenko, Alena 1 2022 Almost existence from the feral perspective and some questions. Zbl 1487.32154Fish, Joel W.; Hofer, Helmut H. W. 1 2022 Accessibility and centralizers for partially hyperbolic flows. Zbl 07469296Fisher, Todd; Hasselblatt, Boris 1 2022 Homoclinic orbits for area preserving diffeomorphisms of surfaces. Zbl 1494.37025Le Calvez, Patrice; Sambarino, Martín 1 2022 Counting closed geodesics in a compact rank-one locally CAT(0) space. Zbl 1490.37045Ricks, Russell 1 2022 Thermodynamics of smooth models of pseudo-Anosov homeomorphisms. Zbl 1497.37039Veconi, Dominic 1 2022 Non-dense orbits on homogeneous spaces and applications to geometry and number theory. Zbl 1500.37001An, Jinpeng; Guan, Lifan; Kleinbock, Dmitry 1 2022 Generic non-singular Poisson suspension is of type \(\mathrm{III}_1\). Zbl 07488210Danilenko, Alexandre I.; Kosloff, Zemer; Roy, Emmanuel 1 2022 Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Zbl 07543033Danilenko, Alexandre I.; Lemańczyk, Mariusz 1 2022 Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra. II. Zbl 1500.37034Cerqueira, Aline; Moreira, Carlos G.; Romaña, Sergio 1 2022 Local limit theorems in relatively hyperbolic groups. I: Rough estimates. Zbl 1493.60057Dussaule, Matthieu 1 2022 Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts. Zbl 07543352Jun, Hyunkyu 1 2022 Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups. Zbl 07543353Levit, Arie; Lubotzky, Alexander 1 2022 Pointwise convergence of certain continuous-time double ergodic averages. Zbl 1500.37004Christ, Michael; Durcik, Polona; Kovač, Vjekoslav; Roos, Joris 1 2022 Ahlfors regularity and fractal dimension of Smale spaces. Zbl 1500.37020Gerontogiannis, Dimitris Michail 1 2022 Partially hyperbolic diffeomorphisms and Lagrangian contact structures. Zbl 07554514Mion-Mouton, Martin 1 2022 Homology and \(K\)-theory of dynamical systems. I: Torsion-free ample groupoids. Zbl 1492.19005Proietti, Valerio; Yamashita, Makoto 1 2022 Dynamics of hyperbolic correspondences. Zbl 1502.37054Siqueira, Carlos 1 2022 On the automorphism group of minimal \(\mathcal{S}\)-adic subshifts of finite alphabet rank. Zbl 07568743Espinoza, Bastián; Maass, Alejandro 1 2022 Multiplicative constants and maximal measurable cocycles in bounded cohomology. Zbl 07624344Moraschini, M.; Savini, A. 1 2022 Bounded complexity, mean equicontinuity and discrete spectrum. Zbl 1456.37015Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong 14 2021 Shadowing and structural stability for operators. Zbl 1489.47011Bernardes, Nilson C. jun.; Messaoudi, Ali 13 2021 Ergodic properties of the Anzai skew-product for the non-commutative torus. Zbl 1473.37013Del Vecchio, Simone; Fidaleo, Francesco; Giorgetti, Luca; Rossi, Stefano 6 2021 Topological entropy of Markov set-valued functions. Zbl 1455.37014Alvin, Lori; Kelly, James P. 6 2021 Rokhlin dimension: duality, tracial properties, and crossed products. Zbl 1458.46054Gardella, Eusebio; Hirshberg, Ilan; Santiago, Luis 6 2021 On preimage entropy, folding entropy and stable entropy. Zbl 1461.37037Wu, Weisheng; Zhu, Yujun 4 2021 Big mapping class groups and rigidity of the simple circle. Zbl 1470.37066Calegari, Danny; Chen, Lvzhou 4 2021 Eventually dendric shift spaces. Zbl 1470.37023Dolce, Francesco; Perrin, Dominique 4 2021 Free minimal actions of countable groups with invariant probability measures. Zbl 1469.46064Elek, Gábor 4 2021 Limit theorems for some skew products with mixing base maps. Zbl 1475.60052Hafouta, Yeor 4 2021 Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053Jitomirskaya, Svetlana; Yang, Fan 4 2021 On the rotation sets of generic homeomorphisms on the torus \(\mathbb{T}^d\). Zbl 1479.37040Lima, Heides; Varandas, Paulo 4 2021 Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms. Zbl 1481.37033Hu, Huyi; Wu, Weisheng; Zhu, Yujun 4 2021 Open problems and questions about geodesics. Zbl 1486.53003Burns, Keith; Matveev, Vladimir S. 4 2021 Dynamics of compact quantum metric spaces. Zbl 1479.46079Kaad, Jens; Kyed, David 3 2021 A characterization of 3D steady Euler flows using commuting zero-flux homologies. Zbl 1468.35122Peralta-Salas, Daniel; Rechtman, Ana; Torres De Lizaur, Francisco 3 2021 Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map. Zbl 1472.37038Wang, Tianyu 3 2021 Maximally highly proximal flows. Zbl 1480.37021Zucker, Andy 3 2021 Relative bifurcation sets and the local dimension of univoque bases. 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T. 31 Peris, Alfredo 30 Cao, Yongluo 30 Fraser, Jonathan MacDonald 30 Gelfert, Katrin Grit 30 Gentile, Guido 30 Pesin, Yakov Borisovich 29 Crovisier, Sylvain 29 Díaz, Lorenzo Justiniano 29 Dragičević, Davor 29 Misiurewicz, Michał 29 Mukhamedov, Farruh Maksutovich 29 Todd, Mike 28 Araújo, Vítor 28 Downarowicz, Tomasz 28 Galatolo, Stefano 28 Oertel-Jäger, Tobias Hendrik 28 Li, Jian 28 Lindenstrauss, Elon 28 Mischaikow, Konstantin 28 Pacifico, Maria José 28 Quas, Anthony 28 Schmidt, Klaus 28 Sharp, Richard W. 27 Ban, Jungchao 27 Danilenko, Alexandre I. 27 Devaney, Robert L. 27 Kesseböhmer, Marc 27 Kifer, Yuri 27 Oversteegen, Lex G. 27 van Strien, Sebastian J. 27 Viana, Marcelo 26 Alsedà, Lluís 26 Baladi, Viviane 26 Boyle, Mike 26 Einsiedler, Manfred Leopold 26 García, Cristóbal 26 Haydn, Nicolai T. A. 26 Ioana, Adrian 26 Jamilov, Uygun U. 26 Kra, Bryna 26 Lyubich, Mikhail 26 Morris, Ian D. 26 Nicol, Matthew 26 Popa, Sorin Teodor 26 Sun, Taixiang 26 Weiss, Benjamin 26 Zhao, Yun 25 Berthé, Valérie 25 Fayad, Bassam R. 25 Feng, De-Jun 25 Frantzikinakis, Nikos 25 Froyland, Gary 25 Hubert, Pascal 25 Katok, Anatole 25 Keller, Gerhard 25 Liverani, Carlangelo 25 Maass, Alejandro 25 Paternain, Gabriel Pedro 25 Potrie, Rafael 24 Akiyama, Shigeki 24 Alves, José Ferreira 24 Artigue, Alfonso ...and 10,104 more Authors all top 5 Cited in 695 Journals 1,202 Ergodic Theory and Dynamical Systems 578 Transactions of the American Mathematical Society 503 Proceedings of the American Mathematical Society 476 Israel Journal of Mathematics 473 Communications in Mathematical Physics 429 Discrete and Continuous Dynamical Systems 417 Journal of Mathematical Analysis and Applications 391 Journal of Differential Equations 344 Advances in Mathematics 300 Topology and its Applications 278 Journal of Statistical Physics 252 Journal of Functional Analysis 238 Inventiones Mathematicae 230 Dynamical Systems 228 Physica D 215 Nonlinearity 194 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 191 Mathematische Zeitschrift 171 Chaos, Solitons and Fractals 164 Annales de l’Institut Fourier 160 Journal d’Analyse Mathématique 159 Journal of Dynamics and Differential Equations 152 Chaos 151 Monatshefte für Mathematik 145 Duke Mathematical Journal 141 Geometriae Dedicata 141 Qualitative Theory of Dynamical Systems 137 Theoretical Computer Science 127 Journal of Modern Dynamics 126 Mathematische Annalen 119 Journal of Difference Equations and Applications 116 Stochastics and Dynamics 112 Geometric and Functional Analysis. 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Série VI 43 Algebraic & Geometric Topology 41 Linear Algebra and its Applications 40 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 40 Bulletin des Sciences Mathématiques 38 Fundamenta Mathematicae 37 Rocky Mountain Journal of Mathematics 37 Memoirs of the American Mathematical Society 36 Publications Mathématiques 36 Celestial Mechanics and Dynamical Astronomy 35 Compositio Mathematica 35 Boletim da Sociedade Brasileira de Matemática. Nova Série 33 SIAM Journal on Applied Dynamical Systems 33 Proceedings of the Steklov Institute of Mathematics 32 Studia Mathematica 32 Illinois Journal of Mathematics 32 Journal of Pure and Applied Algebra 32 Journal of the Australian Mathematical Society 31 Experimental Mathematics 31 Calculus of Variations and Partial Differential Equations 31 Arnold Mathematical Journal 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Journal of Topology and Analysis 29 Applied Mathematics and Computation 29 Archiv der Mathematik 29 Journal de Théorie des Nombres de Bordeaux 28 Semigroup Forum ...and 595 more Journals all top 5 Cited in 62 Fields 10,942 Dynamical systems and ergodic theory (37-XX) 1,902 Measure and integration (28-XX) 1,222 Probability theory and stochastic processes (60-XX) 1,176 Ordinary differential equations (34-XX) 1,155 Functional analysis (46-XX) 1,152 Number theory (11-XX) 1,011 General topology (54-XX) 953 Differential geometry (53-XX) 894 Operator theory (47-XX) 827 Functions of a complex variable (30-XX) 802 Topological groups, Lie groups (22-XX) 781 Group theory and generalizations (20-XX) 729 Manifolds and cell complexes (57-XX) 595 Mechanics of particles and systems (70-XX) 546 Global analysis, analysis on manifolds (58-XX) 489 Partial differential equations (35-XX) 483 Several complex variables and analytic spaces (32-XX) 466 Computer science (68-XX) 443 Combinatorics (05-XX) 428 Statistical mechanics, structure of matter (82-XX) 294 Convex and discrete geometry (52-XX) 248 Abstract harmonic analysis (43-XX) 247 Quantum theory (81-XX) 221 Algebraic geometry (14-XX) 217 Biology and other natural sciences (92-XX) 214 Harmonic analysis on Euclidean spaces (42-XX) 198 Mathematical logic and foundations (03-XX) 167 Algebraic topology (55-XX) 163 Real functions (26-XX) 132 Difference and functional equations (39-XX) 132 Numerical analysis (65-XX) 116 Information and communication theory, circuits (94-XX) 111 Linear and multilinear algebra; matrix theory (15-XX) 101 Associative rings and algebras (16-XX) 98 Fluid mechanics (76-XX) 96 Systems theory; control (93-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 81 \(K\)-theory (19-XX) 80 Statistics (62-XX) 72 Geometry (51-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Nonassociative rings and algebras (17-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 49 Potential theory (31-XX) 43 Category theory; homological algebra (18-XX) 39 General and overarching topics; collections (00-XX) 39 History and biography (01-XX) 35 Optics, electromagnetic theory (78-XX) 34 Field theory and polynomials (12-XX) 33 Operations research, mathematical programming (90-XX) 32 Commutative algebra (13-XX) 28 Sequences, series, summability (40-XX) 27 Special functions (33-XX) 27 Integral transforms, operational calculus (44-XX) 23 Approximations and expansions (41-XX) 22 Relativity and gravitational theory (83-XX) 20 Mechanics of deformable solids (74-XX) 19 Geophysics (86-XX) 15 General algebraic systems (08-XX) 12 Integral equations (45-XX) 10 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) Citations by Year