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## 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: 3,186 Publications (since 1981) References Indexed: 2,125 Publications with 43,580 References.
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#### Authors

 24 Rudolph, Daniel J. 22 Bonatti, Christian 21 Weiss, Benjamin 20 Misiurewicz, Michał 20 Urbański, Mariusz 18 Bergelson, Vitaly 18 Ye, Xiangdong 17 Glasner, Eli 16 Katok, Anatole B. 15 Pollicott, Mark 14 Barge, Marcy M. 14 del Junco, Andres 14 Huang, Wen 13 Bruin, Henk 13 Leibman, Alexander 13 Lemańczyk, Mariusz 13 Maass, Alejandro 13 Yorke, James Alan 13 Young, Lai-Sang 12 Buzzi, Jérôme 12 Dooley, Anthony Haynes 12 Melbourne, Ian 11 Bowen, Lewis Phylip 11 Danilenko, Alexandre I. 11 Host, Bernard 11 Quas, Anthony 11 Schmidt, Klaus 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 Kamae, Teturo 10 Matsumoto, Kengo 10 Pesin, Yakov Borisovich 10 Rosenblatt, Joseph Max 9 Boyle, Mike 9 Einsiedler, Manfred Leopold 9 Fornæss, John Erik 9 Fried, David 9 Gambaudo, Jean-Marc 9 Golodets, Valentin Yakovlevich 9 Haydn, Nicolai T. A. 9 Hu, Huyi 9 Jenkinson, Oliver 9 Jones, Roger L. 9 Keller, Gerhard 9 Kitchens, Bruce P. 9 Nicol, Matthew 9 Nogueira, Arnaldo C. R. 9 Oprocha, Piotr 9 Parry, William 9 Pujals, Enrique Ramiro 8 Coven, Ethan M. 8 de Rezende, Ketty Abaroa 8 Díaz, Lorenzo Justiniano 8 Feldman, Jacob 8 Franks, John M. 8 Góra, Paweł 8 Homburg, Ale Jan 8 Kwapisz, Jaroslaw 8 Lopes, Artur Oscar 8 Nitecki, Zbigniew H. 8 Niţică, Viorel 8 Pacifico, Maria José 8 Pavlov, Ronnie 8 Pivato, Marcus 8 Raeburn, Iain 8 Rams, Michał 8 Sadun, Lorenzo A. 8 Świątek, Grzegorz 8 Tuncel, Selim 8 Vaienti, Sandro 8 Ward, Thomas B. 8 Yassawi, Reem 8 Yuri, Michiko 7 Auslander, Joseph 7 Barreira, Luis Manuel 7 Burns, Keith 7 Collet, Pierre 7 de la Llave, Rafael 7 Devaney, Robert L. 7 Dolgopyat, Dmitry 7 Fiebig, Doris 7 Fiebig, Ulf-Rainer 7 Hamenstädt, Ursula 7 Hasselblatt, Boris 7 Hochman, Michael 7 Hurder, Steven E. 7 Hurley, Mike 7 Kifer, Yuri 7 Levin, Genadi M. 7 Llibre, Jaume 7 Miles, Richard B. 7 Nowicki, Tomasz 7 Peres, Yuval 7 Putnam, Ian F. ...and 2,541 more Authors
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#### Fields

 2,739 Dynamical systems and ergodic theory (37-XX) 500 Measure and integration (28-XX) 263 General topology (54-XX) 182 Differential geometry (53-XX) 179 Topological groups, Lie groups (22-XX) 159 Functional analysis (46-XX) 158 Probability theory and stochastic processes (60-XX) 145 Manifolds and cell complexes (57-XX) 132 Number theory (11-XX) 116 Functions of a complex variable (30-XX) 103 Operator theory (47-XX) 86 Global analysis, analysis on manifolds (58-XX) 79 Ordinary differential equations (34-XX) 78 Group theory and generalizations (20-XX) 62 Several complex variables and analytic spaces (32-XX) 52 Mechanics of particles and systems (70-XX) 40 Combinatorics (05-XX) 40 Computer science (68-XX) 32 Partial differential equations (35-XX) 29 Abstract harmonic analysis (43-XX) 24 Convex and discrete geometry (52-XX) 19 Algebraic topology (55-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Algebraic geometry (14-XX) 15 $$K$$-theory (19-XX) 15 Real functions (26-XX) 14 History and biography (01-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Difference and functional equations (39-XX) 10 Mathematical logic and foundations (03-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Quantum theory (81-XX) 8 Geometry (51-XX) 8 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) 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 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-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)

#### Citations contained in zbMATH Open

2,708 Publications have been cited 27,147 times in 14,433 Documents Cited by Year
Dimension, entropy and Lyapunov exponents. Zbl 0523.58024
Young, Lai-sang
1982
An amenable equivalence relation is generated by a single transformation. Zbl 0491.28018
Connes, A.; Feldman, J.; Weiss, B.
1981
Subadditive mean ergodic theorems. Zbl 0471.28011
Derriennic, Y.; Krengel, U.
1981
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
1982
A probabilistic approach to intermittency. Zbl 0988.37035
Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro
1999
Thermodynamic formalism for countable Markov shifts. Zbl 0994.37005
Sarig, Omri M.
1999
Dynamical properties of plane polynomial automorphisms. Zbl 0651.58027
Friedland, Shmuel; Milnor, John
1989
Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033
Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F.
1997
Dynamics of self-similar tilings. Zbl 0884.58062
Solomyak, Boris
1997
The $$C^ 1$$ closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
1983
Compact metric spaces, Fredholm modules, and hyperfiniteness. Zbl 0718.46051
Connes, A.
1989
Topological invariants for substitution tilings and their associated $$C^*$$-algebras. Zbl 1053.46520
Anderson, Jared E.; Putnam, Ian F.
1998
Finite beta-expansions. Zbl 0814.68065
Frougny, Christiane; Solomyak, Boris
1992
Banach spaces adapted to Anosov systems. Zbl 1088.37010
Gouëzel, Sébastien; Liverani, Carlangelo
2006
Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035
Lyubich, M. Yu.
1983
Genericity of zero Lyapunov exponents. Zbl 1023.37006
Bochi, Jairo
2002
Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008
Francoise, J. P.
1996
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
1999
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.
1987
Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003
Leibman, A.
2005
Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027
Moussu, Robert
1982
Symbolic dynamics for $$\beta$$-shifts and self-normal numbers. Zbl 0908.58017
Schmeling, Jörg
1997
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
1984
Oscillation in ergodic theory. Zbl 0924.28009
Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté
1998
On the topological entropy of saturated sets. Zbl 1130.37329
Pfister, C.-E.; Sullivan, W. G.
2007
Dynamical systems, shape theory and the Conley index. Zbl 0682.58040
Robbin, Joel W.; Salamon, Dietmar
1988
Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075
Kůrka, Petr
1997
The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035
Lind, D. A.
1984
Some properties of absolutely continuous invariant measures on an interval. Zbl 0487.28015
Ledrappier, Francois
1981
Hausdorff dimension for horseshoes. Zbl 0529.58022
McCluskey, Heather; Manning, Anthony
1983
Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025
Krupa, Martin; Melbourne, Ian
1995
A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042
Barreira, Luis M.
1996
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
2000
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
2004
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
1982
Weakly mixing PET. Zbl 0645.28012
Bergelson, V.
1987
Lyapunov minimizing measures for expanding maps of the circle. Zbl 0997.37016
Contreras, G.; Lopes, A. O.; Thieullen, Ph.
2001
Diffeomorphisms in $$\mathcal F^ 1(M)$$ satisfy Axiom A. Zbl 0760.58035
Hayashi, Shuhei
1992
A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022
Ledrappier, François; Strelcyn, Jean-Marie
1982
Invariant families of cones and Lyapunov exponents. Zbl 0578.58033
Wojtkowski, Maciej
1985
Asymptotic formulas on flat surfaces. Zbl 1096.37501
Eskin, Alex; Masur, Howard
2001
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
2003
An ergodic theorem for iterated maps. Zbl 0621.60039
Elton, John H.
1987
Local analytic integrability for nilpotent centers. Zbl 1037.34025
Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume
2003
Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004
Tao, Terence
2008
Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019
Schmidt, Klaus
1981
Invariant curves and time-dependent potentials. Zbl 0742.34050
Laederich, Stephane; Levi, Mark
1991
Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
1995
Geometry of the Katok examples. Zbl 0559.58027
Ziller, Wolfgang
1983
Repetitive Delone sets and quasicrystals. Zbl 1062.52021
Lagarias, Jeffrey C.; Pleasants, Peter A. B.
2003
Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005
Buzzi, Jérôme; Sarig, Omri
2003
The singularity spectrum f($$\alpha$$ ) for cookie-cutters. Zbl 0664.58022
Rand, D. A.
1989
Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019
Collet, P.
2001
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
2000
Frequently hypercyclic operators and vectors. Zbl 1119.47011
Bonilla, A.; Grosse-Erdmann, K.-G.
2007
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
1988
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
1983
Poisson law for Axiom A diffeomorphism. Zbl 0828.58026
Hirata, Masaki
1993
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
1989
A finiteness theorem for a dynamical class of entire functions. Zbl 0657.58011
Goldberg, Lisa R.; Keen, Linda
1986
Ergodic fractal measures and dimension conservation. Zbl 1154.37322
Furstenberg, Hillel
2008
Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077
Denker, Manfred; Philipp, Walter
1984
On ergodic actions whose self-joinings are graphs. Zbl 0646.60010
Del Junco, A.; Rudolph, D.
1987
Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331
Rey-Bellet, Luc; Young, Lai-Sang
2008
Sectional-hyperbolic systems. Zbl 1165.37010
Metzger, R.; Morales, C.
2008
The gradient structure of a flow. I. Zbl 0687.58033
Conley, C.
1988
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
2004
Constructions in elliptic dynamics. Zbl 1089.37012
2004
$$\times 2$$ and $$\times 3$$ invariant measures and entropy. Zbl 0709.28013
Rudolph, Daniel J.
1990
Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026
Hu, Huyi
2004
On iterates of $$e^ z$$. Zbl 0466.30019
Misiurewicz, Michal
1981
Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040
Pansu, Pierre
1983
On dynamics of triangular maps of the square. Zbl 0784.58038
1992
Null systems and sequence entropy pairs. Zbl 1134.37308
Huang, W.; Li, S. M.; Shao, S.; Ye, X. D.
2003
Poisson limit law for Markov chains. Zbl 0753.60058
Pitskel, B.
1991
Resonance between Cantor sets. Zbl 1159.37005
Peres, Yuval; Shmerkin, Pablo
2009
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
1984
Entropy and volume. Zbl 0638.58016
Newhouse, Sheldon E.
1988
A new look at the crossed-product of a $$C^ *$$-algebra by an endomorphism. Zbl 1059.46050
Exel, Ruy
2003
Regular periodic decompositions for topologically transitive maps. Zbl 0921.54029
Banks, John
1997
Automorphisms of solenoids and $$p$$-adic entropy. Zbl 0634.22005
Lind, Douglas A.; Ward, Thomas B.
1988
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
2007
An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002
1988
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
1986
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
2015
The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008
Wilson, George
1981
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
1996
Commutators and diffeomorphisms of surfaces. Zbl 1088.37018
Gambaudo, Jean-Marc; Ghys, Étienne
2004
Automorphisms of compact groups. Zbl 0709.54023
Kitchens, Bruce; Schmidt, Klaus
1989
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
1996
Adapted metrics for dominated splittings. Zbl 1127.37031
Gourmelon, Nikolaz
2007
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
1992
Entropy and closed geodesics. Zbl 0525.58027
Katok, A.
1982
Rigidity in topological dynamics. Zbl 0661.58027
Glasner, S.; Maon, D.
1989
Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058
Dolgopyat, Dmitry
1998
Existence of invariant tori in volume-preserving diffeomorphisms. Zbl 0768.58042
Xia, Zhihong
1992
Topological entropy for divergence points. Zbl 1098.37013
Ercai, Chen; Küpper, Tassilo; Lin, Shu
2005
Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Zbl 1205.37015
Froyland, Gary; Lloyd, Simon; Quas, Anthony
2010
A pasting Lemma and some applications for conservative systems. Zbl 1142.37025
Arbieto, Alexander; Matheus, Carlos
2007
Purely infinite $$C^{\ast}$$-algebras arising from crossed products. Zbl 1252.46061
2012
Topological entropy of Markov set-valued functions. Zbl 1455.37014
Alvin, Lori; Kelly, James P.
2021
Rokhlin dimension: duality, tracial properties, and crossed products. Zbl 1458.46054
Gardella, Eusebio; Hirshberg, Ilan; Santiago, Luis
2021
Bounded complexity, mean equicontinuity and discrete spectrum. Zbl 1456.37015
Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong
2021
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
2021
Shadowing and structural stability for operators. Zbl 07317318
Bernardes, Nilson C. jun.; Messaoudi, Ali
2021
Ergodic properties of the Anzai skew-product for the non-commutative torus. Zbl 07317321
Del Vecchio, Simone; Fidaleo, Francesco; Giorgetti, Luca; Rossi, Stefano
2021
Anosov diffeomorphisms of products. I: Negative curvature and rational homology spheres. Zbl 1458.57033
Neofytidis, Christoforos
2021
Limit theorems for some skew products with mixing base maps. Zbl 07282576
Hafouta, Yeor
2021
Free minimal actions of countable groups with invariant probability measures. Zbl 07301402
Elek, Gábor
2021
Bernoulli decomposition and arithmetical independence between sequences. Zbl 1459.11150
Yu, Han
2021
A note on the topology of escaping endpoints. Zbl 07317324
Lipham, David S.
2021
Asymptotic escape rates and limiting distributions for multimodal maps. Zbl 07352597
Demers, Mark F.; Todd, Mike
2021
Big mapping class groups and rigidity of the simple circle. Zbl 07354873
Calegari, Danny; Chen, Lvzhou
2021
Transfer operators for ultradifferentiable expanding maps of the circle. Zbl 07354878
Jézéquel, Malo
2021
A generalized type semigroup and dynamical comparison. Zbl 07354882
Ma, Xin
2021
A characterization of 3D steady Euler flows using commuting zero-flux homologies. Zbl 07354883
Peralta-Salas, Daniel; Rechtman, Ana; Torres De Lizaur, Francisco
2021
Relative bifurcation sets and the local dimension of univoque bases. Zbl 07371039
Allaart, Pieter; Kong, Derong
2021
Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts. Zbl 07371040
Chung, Nhan-Phu; Jiang, Yongle
2021
The ideal structures of self-similar $$k$$-graph C*-algebras. Zbl 07371048
Li, Hui; Yang, Dilian
2021
Ideal structure and pure infiniteness of ample groupoid $$C^{\ast}$$-algebras. Zbl 1444.46046
Bönicke, Christian; Li, Kang
2020
On mixing and the local central limit theorem for hyperbolic flows. Zbl 1440.37012
Dolgopyat, Dmitry; Nándori, Péter
2020
A dichotomy for groupoid $$C^*$$-algebras. Zbl 1444.46041
Rainone, Timothy; Sims, Aidan
2020
Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms. Zbl 1437.37003
Bruin, Henk; Terhesiu, Dalia
2020
Rates in almost sure invariance principle for slowly mixing dynamical systems. Zbl 1448.37008
Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence
2020
Realizing uniformly recurrent subgroups. Zbl 1439.22015
Matte Bon, Nicolás; Tsanikov, Todor
2020
An optimal transportation approach to the decay of correlations for non-uniformly expanding maps. Zbl 1437.37027
Kloeckner, Benoît R.
2020
On the stable ergodicity of Berger-Carrasco’s example. Zbl 1437.37041
Obata, Davi
2020
Nilsequences and multiple correlations along subsequences. Zbl 07201492
Le, Anh Ngoc
2020
Dynamical degrees of Hurwitz correspondences. Zbl 1443.14031
2020
Cascades in the dynamics of affine interval exchange transformations. Zbl 1448.37047
Boulanger, Adrien; Fougeron, Charles; Ghazouani, Selim
2020
Topological and almost Borel universality for systems with the weak specification property. Zbl 1447.37018
Burguet, David
2020
The $$\beta$$-transformation with a hole at 0. Zbl 1448.11153
Kalle, Charlene; Kong, Derong; Langeveld, Niels; Li, Wenxia
2020
Examples in the entropy theory of countable group actions. Zbl 1452.37006
Bowen, Lewis
2020
Lebesgue measure of escaping sets of entire functions. Zbl 1433.37045
Cui, Weiwei
2020
Dynamics of post-critically finite maps in higher dimension. Zbl 1437.37059
Astorg, Matthieu
2020
On the computability of rotation sets and their entropies. Zbl 1437.37010
Burr, Michael A.; Schmoll, Martin; Wolf, Christian
2020
Non-commutative ergodic averages of balls and spheres over Euclidean spaces. Zbl 1435.37008
Hong, Guixiang
2020
Pointwise equidistribution and translates of measures on homogeneous spaces. Zbl 1445.22001
Khalil, Osama
2020
(Dis)continuity of Lyapunov exponents. Zbl 1442.37048
Viana, Marcelo
2020
Dynamical sets whose union with infinity is connected. Zbl 1440.37055
Sixsmith, David J.
2020
Characterizing asymptotic randomization in abelian cellular automata. Zbl 1441.37017
Hellouin De Menibus, B.; Salo, V.; Theyssier, G.
2020
A minimal distal map on the torus with sub-exponential measure complexity. Zbl 1437.37001
Huang, Wen; Xu, Leiye; Ye, Xiangdong
2020
Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong. Zbl 1437.37028
Kunze, Markus; Ortega, Rafael
2020
Monic representations of finite higher-rank graphs. Zbl 1453.46050
Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith
2020
On the conservative pasting lemma. Zbl 1441.37028
Teixeira, Pedro
2020
Potential kernel, hitting probabilities and distributional asymptotics. Zbl 1451.60089
Pène, Françoise; Thomine, Damien
2020
The weak Bernoulli property for matrix Gibbs states. Zbl 1447.37047
Piraino, Mark
2020
Hyperfiniteness of boundary actions of cubulated hyperbolic groups. Zbl 07228223
Huang, Jingyin; Sabok, Marcin; Shinko, Forte
2020
Weak containment of measure-preserving group actions. Zbl 07257148
Burton, Peter J.; Kechris, Alexander S.
2020
Kesten’s theorem for uniformly recurrent subgroups. Zbl 1448.05185
Fraczyk, Mikolaj
2020
Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems. Zbl 1454.37052
Backes, Lucas; Poletti, Mauricio; Varandas, Paulo; Lima, Yuri
2020
The sets of Dirichlet non-improvable numbers versus well-approximable numbers. Zbl 1455.11111
Bakhtawar, Ayreena; Bos, Philip; Hussain, Mumtaz
2020
A history of central sets. Zbl 1435.37003
Hindman, Neil
2020
Complexity of injective piecewise contracting interval maps. Zbl 1432.37067
Catsigeras, E.; Guiraud, P.; Meyroneinc, A.
2020
Diffeomorphism group valued cocycles over higher-rank abelian Anosov actions. Zbl 1436.37038
Damjanović, Danijela; Xu, Disheng
2020
Simultaneous equidistributing and non-dense points for non-commuting toral automorphisms. Zbl 1442.37043
Einsiedler, Manfred; Maier, Alex
2020
$$\mathcal{M}_4$$ is regular-closed. Zbl 1431.28010
Himeki, Yutaro; Ishii, Yutaka
2020
Pure point/continuous decomposition of translation-bounded measures and diffraction. Zbl 1436.37003
Aujouge, Jean-Baptiste
2020
Odd-symplectic forms via surgery and minimality in symplectic dynamics. Zbl 1437.53068
Geiges, Hansjörg; Zehmisch, Kai
2020
Spectral gap property and strong ergodicity for groups of affine transformations of solenoids. Zbl 1448.37036
Bekka, Bachir; Francini, Camille
2020
Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents. Zbl 1441.37049
Gorbovickis, Igors; Yampolsky, Michael
2020
The $$C^1$$ property of convex carrying simplices for competitive maps. Zbl 1441.37030
Mierczyński, Janusz
2020
Delone dynamical systems and spectral convergence. Zbl 1443.37007
Beckus, Siegfried; Pogorzelski, Felix
2020
SRB measures for partially hyperbolic attractors of local diffeomorphisms. Zbl 1458.37029
Cruz, Anderson; Varandas, Paulo
2020
Pointwise multiple averages for sublinear functions. Zbl 1450.37005
Donoso, Sebastián; Koutsogiannis, Andreas; Sun, Wenbo
2020
Cogrowth for group actions with strongly contracting elements. Zbl 1446.37034
Arzhantseva, Goulnara N.; Cashen, Christopher H.
2020
Manhattan curves for hyperbolic surfaces with cusps. Zbl 1458.37050
Kao, Lien-Yung
2020
Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces. Zbl 1446.37010
Artigiani, Mauro; Marchese, Luca; Ulcigrai, Corinna
2020
An answer to Furstenberg’s problem on topological disjointness. Zbl 1452.37011
Huang, Wen; Shao, Song; Ye, Xiangdong
2020
Deviations in the Franks-Misiurewicz conjecture. Zbl 1448.37054
Passeggi, Alejandro; Sambarino, Martín
2020
Homology of odometers. Zbl 1460.46065
Scarparo, Eduardo
2020
Lyapunov optimization for non-generic one-dimensional expanding Markov maps. Zbl 1448.37051
Shinoda, Mao; Takahasi, Hiroki
2020
Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base. Zbl 07257152
Han, R.; Lemm, M.; Schlag, W.
2020
Local escape rates for $$\phi$$-mixing dynamical systems. Zbl 1453.37004
Haydn, N.; Yang, Fan
2020
Sylvester matrix rank functions on crossed products. Zbl 1461.16009
Ara, Pere; Claramunt, Joan
2020
Constant slope, entropy, and horseshoes for a map on a tame graph. Zbl 1452.37048
Bartoš, Adam; Bobok, Jozef; Pyrih, Pavel; Roth, Samuel; Vejnar, Benjamin
2020
The maximal injective crossed product. Zbl 07257198
Buss, Alcides; Echterhoff, Siegfried; Willett, Rufus
2020
Equilibrium states for a class of skew products. Zbl 1452.37040
Carvalho, Maria; Pérez, Sebastián A.
2020
A rational map with infinitely many points of distinct arithmetic degrees. Zbl 1454.37098
Lesieutre, John; Satriano, Matthew
2020
The Hausdorff dimension of multiply Xiong chaotic sets. Zbl 1464.37034
Li, Jian; Lü, Jie; Xiao, Yuanfen
2020
$$C^1$$-openness of non-uniform hyperbolic diffeomorphisms with bounded $$C^2$$-norm. Zbl 1452.37037
Liang, Chao; Marin, Karina; Yang, Jiagang
2020
Skew product Smale endomorphisms over countable shifts of finite type. Zbl 1452.37041
Mihailescu, Eugen; Urbański, Mariusz
2020
Generic point equivalence and Pisot numbers. Zbl 1467.37039
Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han
2020
Global fixed points for nilpotent actions on the torus. Zbl 1454.37028
Firmo, S.; Ribón, J.
2020
Null systems in the non-minimal case. Zbl 1455.37010
Qiu, Jiahao; Zhao, Jianjie
2020
Equilibrium states for Mañé diffeomorphisms. Zbl 07089571
Climenhaga, Vaughn; Fisher, Todd; Thompson, Daniel J.
2019
Ergodic optimization in dynamical systems. Zbl 1435.37009
Jenkinson, Oliver
2019
Rokhlin dimension for actions of residually finite groups. Zbl 1451.37014
Szabó, Gábor; Wu, Jianchao; Zacharias, Joachim
2019
When is a dynamical system mean sensitive? Zbl 1410.37010
García-Ramos, Felipe; Li, Jie; Zhang, Ruifeng
2019
Recognizability for sequences of morphisms. Zbl 07114239
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem
2019
Escape of mass and entropy for geodesic flows. Zbl 1414.37021
Riquelme, Felipe; Velozo, Anibal
2019
Thermodynamics of the Katok map. Zbl 1412.37043
Pesin, Y.; Senti, S.; Zhang, K.
2019
Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032
Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D.
2019
On the relation between Gibbs and $$g$$-measures. Zbl 1427.37025
Berghout, Steven; Fernández, Roberto; Verbitskiy, Evgeny
2019
Simple groups of dynamical origin. Zbl 1421.22003
Nekrashevych, V.
2019
On the dimension of triangular self-affine sets. Zbl 1423.37026
Bárány, Balázs; Rams, Michał; Simon, Károly
2019
Pseudo-orbit tracing and algebraic actions of countable amenable groups. Zbl 1431.37030
Meyerovitch, Tom
2019
On the statistical stability of Lorenz attractors with a $$C^{1+\alpha}$$ stable foliation. Zbl 1433.37031
Bahsoun, Wael; Ruziboev, Marks
2019
Periodic approximation of Lyapunov exponents for Banach cocycles. Zbl 1416.37049
2019
Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes. Zbl 1422.37013
Cheng, Cheng; Crovisier, Sylvain; Gan, Shaobo; Wang, Xiaodong; Yang, Dawei
2019
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#### Cited by 9,193 Authors

 75 Llibre, Jaume 67 Urbański, Mariusz 53 Pollicott, Mark 52 Ye, Xiangdong 51 Huang, Wen 50 Oprocha, Piotr 47 Vaienti, Sandro 46 Melbourne, Ian 46 Varandas, Paulo 44 Barreira, Luis Manuel 44 Bruin, Henk 43 Giné, Jaume 42 de la Llave, Rafael 42 Valls Anglés, Cláudia 41 Lee, Manseob 40 Morales, Carlos Arnoldo 39 Avila Cordeiro de Melo, Artur 39 Bonatti, Christian 39 Lopes, Artur Oscar 37 Bergelson, Vitaly 37 Bessa, Mário 37 Blokh, Alexander M. 36 Damanik, David 35 Baake, Michael 35 Raeburn, Iain 35 Rams, Michał 34 Lenz, Daniel H. 33 Lemańczyk, Mariusz 32 Algaba, Antonio 32 Chen, Ercai 32 Sims, Aidan 30 Gentile, Guido 30 Glasner, Eli 30 Matsumoto, Kengo 30 Solomyak, Boris 29 Bowen, Lewis Phylip 29 Jørgensen, Palle E. T. 29 Misiurewicz, Michał 29 Peris, Alfredo 28 Pesin, Yakov Borisovich 27 Oertel-Jäger, Tobias Hendrik 27 Schmidt, Klaus 27 Sharp, Richard W. 27 Todd, Mike 26 Boyle, Mike 26 Cao, Yongluo 26 Crovisier, Sylvain 26 Devaney, Robert L. 26 Fraser, Jonathan MacDonald 26 Galatolo, Stefano 26 Gelfert, Katrin Grit 26 Haydn, Nicolai T. A. 26 Mischaikow, Konstantin 26 Nicol, Matthew 26 van Strien, Sebastian J. 26 Viana, Marcelo 26 Xu, Junxiang 25 Alsedà, Lluís 25 Araújo, Vítor 25 Berthé, Valérie 25 Dolgopyat, Dmitry 25 Einsiedler, Manfred Leopold 25 García, Cristóbal 25 Ioana, Adrian 25 Kifer, Yuri 25 Lindenstrauss, Elon 25 Popa, Sorin Teodor 24 Carlsen, Toke Meier 24 Danilenko, Alexandre I. 24 Díaz, Lorenzo Justiniano 24 Keller, Gerhard 24 Kesseböhmer, Marc 24 Kra, Bryna 24 Mukhamedov, Farruh Maksutovich 24 Oversteegen, Lex G. 24 Quas, Anthony 24 Yorke, James Alan 23 Akiyama, Shigeki 23 Baladi, Viviane 23 Downarowicz, Tomasz 23 Dragičević, Davor 23 Feng, De-Jun 23 Katok, Anatole B. 23 Li, Jian 23 Lyubich, Mikhail Yur’evich 23 Maass, Alejandro 23 Pacifico, Maria José 23 Paternain, Gabriel Pedro 23 Ryzhikov, Valeriĭ Valentinovich 23 Turaev, Dmitry V. 23 Young, Lai-Sang 22 Barge, Marcy M. 22 Fan, Ai Hua 22 Froyland, Gary 22 Hubert, Pascal 22 Liverani, Carlangelo 22 Luzzatto, Stefano 22 Morris, Ian D. 22 Pavlov, Ronnie 22 Shmerkin, Pablo S. ...and 9,093 more Authors
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#### Cited in 631 Journals

 1,070 Ergodic Theory and Dynamical Systems 537 Transactions of the American Mathematical Society 482 Proceedings of the American Mathematical Society 448 Israel Journal of Mathematics 442 Communications in Mathematical Physics 391 Journal of Mathematical Analysis and Applications 362 Discrete and Continuous Dynamical Systems 360 Journal of Differential Equations 294 Advances in Mathematics 270 Topology and its Applications 262 Journal of Statistical Physics 234 Journal of Functional Analysis 219 Inventiones Mathematicae 212 Physica D 206 Dynamical Systems 192 Nonlinearity 183 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 164 Mathematische Zeitschrift 156 Annales de l’Institut Fourier 153 Chaos, Solitons and Fractals 152 Chaos 147 Journal d’Analyse Mathématique 143 Monatshefte für Mathematik 136 Journal of Dynamics and Differential Equations 133 Duke Mathematical Journal 130 Theoretical Computer Science 125 Geometriae Dedicata 113 Mathematische Annalen 111 Journal of Modern Dynamics 107 Qualitative Theory of Dynamical Systems 106 Journal of Difference Equations and Applications 106 Stochastics and Dynamics 103 Journal of Mathematical Physics 102 Comptes Rendus. Mathématique. Académie des Sciences, Paris 101 Geometric and Functional Analysis. GAFA 87 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 78 Geometry & Topology 78 Annals of Mathematics. Second Series 78 Acta Mathematica Sinica. English Series 77 Bulletin of the American Mathematical Society. New Series 77 Indagationes Mathematicae. New Series 74 Journal of Number Theory 72 Journal of the American Mathematical Society 71 Journal of the European Mathematical Society (JEMS) 70 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 70 Journal of Mathematical Sciences (New York) 68 Mathematical Proceedings of the Cambridge Philosophical Society 65 Conformal Geometry and Dynamics 64 Regular and Chaotic Dynamics 60 Science China. Mathematics 59 Annales Henri Poincaré 57 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 57 International Journal of Mathematics 56 Journal of Geometry and Physics 56 Stochastic Processes and their Applications 56 Bulletin of the Brazilian Mathematical Society. New Series 52 The Annals of Probability 52 Groups, Geometry, and Dynamics 51 Bulletin of the Australian Mathematical Society 51 Acta Mathematica 51 Probability Theory and Related Fields 49 The Journal of Geometric Analysis 49 Journal of Dynamical and Control Systems 44 Acta Applicandae Mathematicae 44 Journal of Nonlinear Science 42 Mathematical Notes 42 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 42 Discrete and Continuous Dynamical Systems. Series B 39 Bulletin des Sciences Mathématiques 37 Journal für die Reine und Angewandte Mathematik 37 Linear Algebra and its Applications 36 Rocky Mountain Journal of Mathematics 36 Publications Mathématiques 36 Journal of Algebra 36 Algebraic & Geometric Topology 35 Boletim da Sociedade Brasileira de Matemática. Nova Série 35 Communications in Nonlinear Science and Numerical Simulation 33 Proceedings of the Steklov Institute of Mathematics 32 Celestial Mechanics and Dynamical Astronomy 31 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 31 Journal of Fixed Point Theory and Applications 30 Fractals 30 SIAM Journal on Applied Dynamical Systems 29 Illinois Journal of Mathematics 29 Journal of Pure and Applied Algebra 29 Memoirs of the American Mathematical Society 29 Journal of Topology and Analysis 28 Compositio Mathematica 28 Journal de Théorie des Nombres de Bordeaux 28 Nonlinear Dynamics 28 Journal of the Australian Mathematical Society 27 Applied Mathematics and Computation 27 Semigroup Forum 27 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Calculus of Variations and Partial Differential Equations 27 Abstract and Applied Analysis 26 Experimental Mathematics 25 Archiv der Mathematik 25 Advances in Applied Mathematics 25 Advances in Difference Equations ...and 531 more Journals
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#### Cited in 62 Fields

 9,673 Dynamical systems and ergodic theory (37-XX) 1,683 Measure and integration (28-XX) 1,082 Probability theory and stochastic processes (60-XX) 1,076 Ordinary differential equations (34-XX) 1,014 Functional analysis (46-XX) 1,005 Number theory (11-XX) 932 General topology (54-XX) 839 Differential geometry (53-XX) 770 Operator theory (47-XX) 735 Functions of a complex variable (30-XX) 690 Topological groups, Lie groups (22-XX) 639 Group theory and generalizations (20-XX) 629 Manifolds and cell complexes (57-XX) 526 Mechanics of particles and systems (70-XX) 481 Global analysis, analysis on manifolds (58-XX) 428 Several complex variables and analytic spaces (32-XX) 427 Partial differential equations (35-XX) 418 Computer science (68-XX) 397 Statistical mechanics, structure of matter (82-XX) 361 Combinatorics (05-XX) 264 Convex and discrete geometry (52-XX) 222 Abstract harmonic analysis (43-XX) 214 Quantum theory (81-XX) 186 Algebraic geometry (14-XX) 181 Biology and other natural sciences (92-XX) 180 Harmonic analysis on Euclidean spaces (42-XX) 166 Mathematical logic and foundations (03-XX) 147 Algebraic topology (55-XX) 146 Real functions (26-XX) 125 Numerical analysis (65-XX) 111 Difference and functional equations (39-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 99 Information and communication theory, circuits (94-XX) 87 Associative rings and algebras (16-XX) 87 Fluid mechanics (76-XX) 84 Systems theory; control (93-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 65 $$K$$-theory (19-XX) 61 Statistics (62-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Geometry (51-XX) 53 Nonassociative rings and algebras (17-XX) 42 Potential theory (31-XX) 39 Order, lattices, ordered algebraic structures (06-XX) 37 History and biography (01-XX) 35 Category theory; homological algebra (18-XX) 31 Optics, electromagnetic theory (78-XX) 29 Field theory and polynomials (12-XX) 28 General and overarching topics; collections (00-XX) 28 Commutative algebra (13-XX) 27 Operations research, mathematical programming (90-XX) 25 Sequences, series, summability (40-XX) 24 Special functions (33-XX) 22 Integral transforms, operational calculus (44-XX) 19 Approximations and expansions (41-XX) 19 Geophysics (86-XX) 18 Mechanics of deformable solids (74-XX) 18 Relativity and gravitational theory (83-XX) 11 General algebraic systems (08-XX) 8 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX)