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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: Journal; Indexed cover-to-cover
Documents Indexed: 3,468 Publications (since 1981)
References Indexed: 2,407 Publications with 51,648 References.
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Latest Issues

43, No. 9 (2023)
43, No. 8 (2023)
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39, No. 9 (2019)
39, No. 8 (2019)
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39, No. 6 (2019)
39, No. 5 (2019)
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39, No. 3 (2019)
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39, No. 1 (2019)
38, No. 8 (2018)
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38, No. 5 (2018)
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37, No. 8 (2017)
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37, No. 5 (2017)
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36, No. 8 (2016)
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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)
...and 143 more Volumes
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Authors

24 Rudolph, Daniel J.
23 Bonatti, Christian
22 Weiss, Benjamin
21 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 Danilenko, Alexandre I.
14 del Junco, Andres
14 Dooley, Anthony Haynes
14 Huang, Wen
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
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 Varandas, Paulo
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 Pujals, Enrique Ramiro
9 Rams, Michał
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 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 Fenley, Sérgio R.
7 Fiebig, Doris
7 Fiebig, Ulf-Rainer
7 Fraser, Jonathan MacDonald
7 Hochman, Michael
7 Hurder, Steven E.
...and 2,789 more Authors
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Fields

3,006 Dynamical systems and ergodic theory (37-XX)
544 Measure and integration (28-XX)
274 General topology (54-XX)
198 Topological groups, Lie groups (22-XX)
198 Differential geometry (53-XX)
174 Probability theory and stochastic processes (60-XX)
172 Functional analysis (46-XX)
164 Manifolds and cell complexes (57-XX)
147 Number theory (11-XX)
133 Functions of a complex variable (30-XX)
114 Operator theory (47-XX)
97 Group theory and generalizations (20-XX)
93 Global analysis, analysis on manifolds (58-XX)
79 Ordinary differential equations (34-XX)
75 Several complex variables and analytic spaces (32-XX)
57 Mechanics of particles and systems (70-XX)
45 Combinatorics (05-XX)
43 Computer science (68-XX)
32 Partial differential equations (35-XX)
31 Abstract harmonic analysis (43-XX)
29 Convex and discrete geometry (52-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Algebraic geometry (14-XX)
20 Algebraic topology (55-XX)
18 \(K\)-theory (19-XX)
17 Mathematical logic and foundations (03-XX)
16 Real functions (26-XX)
15 History and biography (01-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Difference and functional equations (39-XX)
11 Quantum theory (81-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
8 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 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 Category theory; homological algebra (18-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

Citations contained in zbMATH Open

3,003 Publications have been cited 33,500 times in 17,314 Documents Cited by Year
Dimension, entropy and Lyapunov exponents. Zbl 0523.58024
Young, Lai-sang
217
1982
An amenable equivalence relation is generated by a single transformation. Zbl 0491.28018
Connes, A.; Feldman, J.; Weiss, B.
199
1981
Subadditive mean ergodic theorems. Zbl 0471.28011
Derriennic, Y.; Krengel, U.
193
1981
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
165
1982
A probabilistic approach to intermittency. Zbl 0988.37035
Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro
156
1999
Thermodynamic formalism for countable Markov shifts. Zbl 0994.37005
Sarig, Omri M.
151
1999
Dynamical properties of plane polynomial automorphisms. Zbl 0651.58027
Friedland, Shmuel; Milnor, John
131
1989
Dynamics of self-similar tilings. Zbl 0884.58062
Solomyak, Boris
127
1997
Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033
Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F.
125
1997
Banach spaces adapted to Anosov systems. Zbl 1088.37010
Gouëzel, Sébastien; Liverani, Carlangelo
123
2006
Compact metric spaces, Fredholm modules, and hyperfiniteness. Zbl 0718.46051
Connes, A.
122
1989
The \(C^ 1\) closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
118
1983
Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035
Lyubich, M. Yu.
115
1983
Topological invariants for substitution tilings and their associated \(C^*\)-algebras. Zbl 1053.46520
Anderson, Jared E.; Putnam, Ian F.
113
1998
Finite beta-expansions. Zbl 0814.68065
Frougny, Christiane; Solomyak, Boris
109
1992
Genericity of zero Lyapunov exponents. Zbl 1023.37006
Bochi, Jairo
107
2002
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
105
1999
Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003
Leibman, A.
98
2005
Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008
Francoise, J. P.
97
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 0608.58034
Dumortier, F.; Roussarie, R.; Sotomayor, J.
95
1987
Symbolic dynamics for \(\beta\)-shifts and self-normal numbers. Zbl 0908.58017
Schmeling, Jörg
93
1997
Oscillation in ergodic theory. Zbl 0924.28009
Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté
93
1998
On the topological entropy of saturated sets. Zbl 1130.37329
Pfister, C.-E.; Sullivan, W. G.
89
2007
A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022
Ledrappier, François; Strelcyn, Jean-Marie
85
1982
Weakly mixing PET. Zbl 0645.28012
Bergelson, V.
84
1987
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
83
1984
Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027
Moussu, Robert
82
1982
Dynamical systems, shape theory and the Conley index. Zbl 0682.58040
Robbin, Joel W.; Salamon, Dietmar
81
1988
The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035
Lind, D. A.
81
1984
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
81
2004
Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004
Tao, Terence
80
2008
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
79
1982
A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042
Barreira, Luis M.
79
1996
Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075
Kůrka, Petr
79
1997
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
78
1989
Hausdorff dimension for horseshoes. Zbl 0529.58022
McCluskey, Heather; Manning, Anthony
78
1983
Asymptotic formulas on flat surfaces. Zbl 1096.37501
Eskin, Alex; Masur, Howard
78
2001
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
76
2003
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
75
2000
Some properties of absolutely continuous invariant measures on an interval. Zbl 0487.28015
Ledrappier, Francois
74
1981
Geometry of the Katok examples. Zbl 0559.58027
Ziller, Wolfgang
74
1983
Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025
Krupa, Martin; Melbourne, Ian
73
1995
Invariant curves and time-dependent potentials. Zbl 0742.34050
Laederich, Stephane; Levi, Mark
72
1991
Diffeomorphisms in \(\mathcal F^ 1(M)\) satisfy Axiom A. Zbl 0760.58035
Hayashi, Shuhei
70
1992
Repetitive Delone sets and quasicrystals. Zbl 1062.52021
Lagarias, Jeffrey C.; Pleasants, Peter A. B.
69
2003
An ergodic theorem for iterated maps. Zbl 0621.60039
Elton, John H.
68
1987
Frequently hypercyclic operators and vectors. Zbl 1119.47011
Bonilla, A.; Grosse-Erdmann, K.-G.
68
2007
Lyapunov minimizing measures for expanding maps of the circle. Zbl 0997.37016
Contreras, G.; Lopes, A. O.; Thieullen, Ph.
68
2001
Local analytic integrability for nilpotent centers. Zbl 1037.34025
Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume
67
2003
Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005
Buzzi, Jérôme; Sarig, Omri
67
2003
Invariant families of cones and Lyapunov exponents. Zbl 0578.58033
Wojtkowski, Maciej
66
1985
Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019
Schmidt, Klaus
65
1981
Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
65
1995
Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040
Pansu, Pierre
62
1983
Ergodic fractal measures and dimension conservation. Zbl 1154.37322
Furstenberg, Hillel
62
2008
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
62
1988
Sectional-hyperbolic systems. Zbl 1165.37010
Metzger, R.; Morales, C.
61
2008
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
61
2015
A finiteness theorem for a dynamical class of entire functions. Zbl 0657.58011
Goldberg, Lisa R.; Keen, Linda
61
1986
The singularity spectrum f(\(\alpha\) ) for cookie-cutters. Zbl 0664.58022
Rand, D. A.
60
1989
Mean equicontinuity and mean sensitivity. Zbl 1356.37016
Li, Jian; Tu, Siming; Ye, Xiangdong
59
2015
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
59
1983
Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331
Rey-Bellet, Luc; Young, Lai-Sang
59
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
59
2004
Schrödinger operators with dynamically defined potentials. Zbl 06823048
Damanik, David
59
2017
Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077
Denker, Manfred; Philipp, Walter
58
1984
Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026
Hu, Huyi
58
2004
Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019
Collet, P.
58
2001
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
58
2000
The gradient structure of a flow. I. Zbl 0687.58033
Conley, C.
57
1988
On iterates of \(e^ z\). Zbl 0466.30019
Misiurewicz, Michal
57
1981
On ergodic actions whose self-joinings are graphs. Zbl 0646.60010
Del Junco, A.; Rudolph, D.
57
1987
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
56
1996
Entropy and volume. Zbl 0638.58016
Newhouse, Sheldon E.
55
1988
Constructions in elliptic dynamics. Zbl 1089.37012
Fayad, Bassam; Katok, Anatole
55
2004
Entropy and closed geodesics. Zbl 0525.58027
Katok, A.
54
1982
Poisson law for Axiom A diffeomorphism. Zbl 0828.58026
Hirata, Masaki
54
1993
\(\times 2\) and \(\times 3\) invariant measures and entropy. Zbl 0709.28013
Rudolph, Daniel J.
53
1990
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
53
2007
Commutators and diffeomorphisms of surfaces. Zbl 1088.37018
Gambaudo, Jean-Marc; Ghys, Étienne
53
2004
Null systems and sequence entropy pairs. Zbl 1134.37308
Huang, W.; Li, S. M.; Shao, S.; Ye, X. D.
53
2003
Resonance between Cantor sets. Zbl 1159.37005
Peres, Yuval; Shmerkin, Pablo
52
2009
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
52
1996
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
52
1984
Poisson limit law for Markov chains. Zbl 0753.60058
Pitskel, B.
51
1991
A new look at the crossed-product of a \(C^ *\)-algebra by an endomorphism. Zbl 1059.46050
Exel, Ruy
51
2003
SRB measures as zero-noise limits. Zbl 1098.37020
Cowieson, William; Young, Lai-Sang
51
2005
Topological entropy for divergence points. Zbl 1098.37013
Ercai, Chen; Küpper, Tassilo; Lin, Shu
51
2005
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
50
1992
Automorphisms of compact groups. Zbl 0709.54023
Kitchens, Bruce; Schmidt, Klaus
50
1989
Regular periodic decompositions for topologically transitive maps. Zbl 0921.54029
Banks, John
50
1997
Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058
Dolgopyat, Dmitry
50
1998
The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008
Wilson, George
49
1981
Quadratic stochastic operators and zero-sum game dynamics. Zbl 1352.37026
Ganikhodjaev, Nasir N.; Ganikhodjaev, Rasul N.; Jamilov, U. U.
49
2015
An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002
Fadell, Edward; Husseini, Sufian
49
1988
Rigidity in topological dynamics. Zbl 0661.58027
Glasner, S.; Maon, D.
49
1989
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.
48
1986
On dynamics of triangular maps of the square. Zbl 0784.58038
Kolyada, S. F.
48
1992
Existence of invariant tori in volume-preserving diffeomorphisms. Zbl 0768.58042
Xia, Zhihong
47
1992
Adapted metrics for dominated splittings. Zbl 1127.37031
Gourmelon, Nikolaz
47
2007
Packing topological entropy for amenable group actions. Zbl 07680093
Dou, Dou; Zheng, Dongmei; Zhou, Xiaomin
2
2023
Conjugacy of local homeomorphisms via groupoids and C*-algebras. Zbl 07714656
Armstrong, Becky; Aguyar Brix, Kevin; Meier Carlsen, Toke; Eilers, Søren
2
2023
\(J^+\)-invariants for planar two-center Stark-Zeeman systems. Zbl 07702426
Cieliebak, Kai; Frauenfelder, Urs; Zhao, Lei
1
2023
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers. Zbl 07680091
Brunet, Guilhem
1
2023
Typical properties of periodic Teichmüller geodesics: Lyapunov exponents. Zbl 1517.37041
Hamenstädt, Ursula
1
2023
Dynamical behavior of alternate base expansions. Zbl 07680106
Charlier, Émilie; Cisternino, Célia; Dajani, Karma
1
2023
New approach to weighted topological entropy and pressure. Zbl 1517.37039
Tsukamoto, Masaki
1
2023
Dynamics of Newton maps. Zbl 07680114
Wang, Xiaoguang; Yin, Yongcheng; Zeng, Jinsong
1
2023
Oscillating simply connected wandering domains. Zbl 07680122
Evdoridou, Vasiliki; Rippon, Philip J.; Stallard, Gwyneth M.
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 07680142
Yu, Han
1
2023
Critical values for the \(\beta\)-transformation with a hole at \(0\). Zbl 07682659
Allaart, Pieter; Kong, Derong
1
2023
Proper \(3\)-colorings of \(\mathbb{Z}^2\) are Bernoulli. Zbl 07682667
Ray, Gourab; Spinka, Yinon
1
2023
Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces. Zbl 07714649
Duchesne, Bruno; Lécureux, Jean; Pozzetti, Maria Beatrice
1
2023
Homotopy Hubbard trees for post-singularly finite exponential maps. Zbl 07714651
Pfrang, David; Rothgang, Michael; Schleicher, Dierk
1
2023
Quasi-adelic measures and equidistribution on \(\mathbb{P}^1\). Zbl 07714664
Mavraki, Niki Myrto; Ye, Hexi
1
2023
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups. Zbl 07732812
Bland, Robert; Mcgoff, Kevin; Pavlov, Ronnie
1
2023
Perturbations of graphs for Newton maps. I: bounded hyperbolic components. Zbl 07732816
Gao, Yan; Nie, Hongming
1
2023
Flows, growth rates, and the veering polynomial. Zbl 07732817
Landry, Michael P.; Minsky, Yair N.; Taylor, Samuel J.
1
2023
Arithmeticity of hyperbolic \(3\)-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017
Mohammadi, Amir; Margulis, Gregorii
7
2022
Flexibility of Lyapunov exponents. Zbl 1495.37024
Bochi, J.; Katok, A.; Rodriguez Hertz, F.
6
2022
There are no deviations for the ergodic averages of Giulietti-Liverani horocycle flows on the two-torus. Zbl 1487.37005
Baladi, Viviane
5
2022
On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz-Krieger algebras. Zbl 1503.37020
Matsumoto, Kengo
5
2022
\(\mathcal{S}\)-adic characterization of minimal ternary dendric shifts. Zbl 1516.37020
Gheeraert, France; Lejeune, Marie; Leroy, Julien
4
2022
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. Zbl 1491.37031
Forni, Giovanni
4
2022
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits. Zbl 1504.53094
Kim, Joontae; Kim, Seongchan; Kwon, Myeonggi
4
2022
The number of ergodic measures for transitive subshifts under the regular bispecial condition. Zbl 1489.37016
Damron, Michael; Fickenscher, Jon
3
2022
Invariant densities for random systems of the interval. Zbl 1486.37022
Kalle, Charlene; Maggioni, Marta
3
2022
Entropies and volume growth of unstable manifolds. Zbl 1492.37031
Zang, Yuntao
3
2022
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups. Zbl 1489.37037
Abrams, Adam; Katok, Svetlana; Ugarcovici, Ilie
3
2022
Geodesic planes in geometrically finite acylindrical 3-manifolds. Zbl 1485.37005
Benoist, Yves; Oh, Hee
3
2022
A piecewise smooth Fermi-Ulam pingpong with potential. Zbl 1507.37036
Zhou, Jing
3
2022
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. Zbl 1505.37037
Bahsoun, Wael; Liverani, Carlangelo
3
2022
Homology and \(K\)-theory of dynamical systems. I: Torsion-free ample groupoids. Zbl 1492.19005
Proietti, Valerio; Yamashita, Makoto
3
2022
Strongly aperiodic subshifts of finite type on hyperbolic groups. Zbl 1506.37023
Cohen, David B.; Goodman-Strauss, Chaim; Rieck, Yo’Av
3
2022
Smoothness of stable holonomies inside center-stable manifolds. Zbl 1515.37023
Brown, Aaron
2
2022
Glider automata on all transitive sofic shifts. Zbl 1515.37011
Kopra, Johan
2
2022
Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli. Zbl 1496.37001
Gerber, Marlies; Kunde, Philipp
2
2022
Thermodynamics of smooth models of pseudo-Anosov homeomorphisms. Zbl 1497.37039
Veconi, Dominic
2
2022
Generic non-singular Poisson suspension is of type \(\mathrm{III}_1\). Zbl 1516.37010
Danilenko, Alexandre I.; Kosloff, Zemer; Roy, Emmanuel
2
2022
Pseudorotations of the \(2\)-disc and Reeb flows on the \(3\)-sphere. Zbl 07457811
Albers, Peter; Geiges, Hansjörg; Zehmisch, Kai
2
2022
Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022
Avila, A.; Viana, Marcelo; Wilkinson, A.
2
2022
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Zbl 1504.37011
Danilenko, Alexandre I.; Lemańczyk, Mariusz
2
2022
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra. II. Zbl 1500.37034
Cerqueira, Aline; Moreira, Carlos G.; Romaña, Sergio
2
2022
Dynamical Borel-Cantelli lemma for recurrence theory. Zbl 1507.37001
Hussain, Mumtaz; Li, Bing; Simmons, David; Wang, Baowei
2
2022
On the automorphism group of minimal \(\mathcal{S}\)-adic subshifts of finite alphabet rank. Zbl 1505.37023
Espinoza, Bastián; Maass, Alejandro
2
2022
Quasisymmetric orbit-flexibility of multicritical circle maps. Zbl 1508.37052
De Faria, Edson; Guarino, Pablo
1
2022
Examples of distorted interval diffeomorphisms of intermediate regularity. Zbl 07624338
Dinamarca, Leonardo; Escayola, Maximiliano
1
2022
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids. Zbl 07624343
Mohammadpour, Reza; Przytycki, Feliks; Rams, Michał
1
2022
Multiplicative constants and maximal measurable cocycles in bounded cohomology. Zbl 07624344
Moraschini, M.; Savini, A.
1
2022
Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension \(k\). Zbl 1505.30024
Godin, Jonathan; Rousseau, Christiane
1
2022
Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy. Zbl 1489.37052
Aguyar Brix, Kevin
1
2022
Generic homeomorphisms have full metric mean dimension. Zbl 1486.37016
Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo
1
2022
A variational principle for the metric mean dimension of free semigroup actions. Zbl 1485.37010
Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo
1
2022
Realization of analytic moduli for parabolic Dulac germs. Zbl 1485.37041
Mardešić, Pavao; Resman, Maja
1
2022
Accessibility and centralizers for partially hyperbolic flows. Zbl 07469296
Fisher, Todd; Hasselblatt, Boris
1
2022
Geodesic stretch, pressure metric and marked length spectrum rigidity. Zbl 1493.37036
Guillarmou, Colin; Knieper, Gerhard; Lefeuvre, Thibault
1
2022
Homoclinic orbits for area preserving diffeomorphisms of surfaces. Zbl 1494.37025
Le Calvez, Patrice; Sambarino, Martín
1
2022
Counting closed geodesics in a compact rank-one locally CAT(0) space. Zbl 1490.37045
Ricks, Russell
1
2022
Non-dense orbits on homogeneous spaces and applications to geometry and number theory. Zbl 1500.37001
An, Jinpeng; Guan, Lifan; Kleinbock, Dmitry
1
2022
Prime number theorem for regular Toeplitz subshifts. Zbl 1500.37015
Frączek, Krzysztof; Kanigowski, Adam; Lemańczyk, Mariusz
1
2022
Non-differentiable irrational curves for \(C^1\) twist map. Zbl 1490.37057
Avila, Artur; Fayad, Bassam
1
2022
Flexibility of Lyapunov exponents with respect to two classes of measures on the torus. Zbl 1495.37031
Erchenko, Alena
1
2022
Almost existence from the feral perspective and some questions. Zbl 1487.32154
Fish, Joel W.; Hofer, Helmut H. W.
1
2022
Characteristic measures of symbolic dynamical systems. Zbl 1501.37014
Frisch, Joshua; Tamuz, Omer
1
2022
Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems. Zbl 1513.70067
Asselle, Luca; Benedetti, Gabriele
1
2022
Local limit theorems in relatively hyperbolic groups. I: Rough estimates. Zbl 1493.60057
Dussaule, Matthieu
1
2022
Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts. Zbl 1506.37035
Jun, Hyunkyu
1
2022
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups. Zbl 07543353
Levit, Arie; Lubotzky, Alexander
1
2022
Generic chaos on dendrites. Zbl 1505.37020
Snoha, Ľubomír; Špitalský, Vladimír; Takács, Michal
1
2022
Lee-Yang zeros of the antiferromagnetic Ising model. Zbl 1491.82004
Bencs, Ferenc; Buys, Pjotr; Guerini, Lorenzo; Peters, Han
1
2022
The bifurcation locus for numbers of bounded type. Zbl 1507.11067
Carminati, Carlo; Tiozzo, Giulio
1
2022
Pointwise convergence of certain continuous-time double ergodic averages. Zbl 1500.37004
Christ, Michael; Durcik, Polona; Kovač, Vjekoslav; Roos, Joris
1
2022
Ahlfors regularity and fractal dimension of Smale spaces. Zbl 1500.37020
Gerontogiannis, Dimitris Michail
1
2022
Amenable dynamical systems over locally compact groups. Zbl 1501.46056
Bearden, Alex; Crann, Jason
1
2022
Unique ergodicity of the automorphism group of the semigeneric directed graph. Zbl 1505.37017
Jahel, Colin
1
2022
Partially hyperbolic diffeomorphisms and Lagrangian contact structures. Zbl 1505.37045
Mion-Mouton, Martin
1
2022
Dynamics of hyperbolic correspondences. Zbl 1502.37054
Siqueira, Carlos
1
2022
On topological rank of factors of Cantor minimal systems. Zbl 1505.37024
Golestani, Nasser; Hosseini, Maryam
1
2022
Reeb orbits that force topological entropy. Zbl 1502.53134
Alves, Marcelo R. R.; Pirnapasov, Abror
1
2022
The scenery flow of self-similar measures with weak separation condition. Zbl 1507.37002
Pyörälä, Aleksi
1
2022
Bounded complexity, mean equicontinuity and discrete spectrum. Zbl 1456.37015
Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong
20
2021
Shadowing and structural stability for operators. Zbl 1489.47011
Bernardes, Nilson C. jun.; Messaoudi, Ali
13
2021
Rokhlin dimension: duality, tracial properties, and crossed products. Zbl 1458.46054
Gardella, Eusebio; Hirshberg, Ilan; Santiago, Luis
12
2021
Topological entropy of Markov set-valued functions. Zbl 1455.37014
Alvin, Lori; Kelly, James P.
10
2021
Open problems and questions about geodesics. Zbl 1486.53003
Burns, Keith; Matveev, Vladimir S.
10
2021
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
8
2021
Krieger’s finite generator theorem for actions of countable groups. III. Zbl 1480.37013
Alpeev, Andrei; Seward, Brandon
8
2021
On the rotation sets of generic homeomorphisms on the torus \(\mathbb{T}^d\). Zbl 1479.37040
Lima, Heides; Varandas, Paulo
8
2021
Ergodic properties of the Anzai skew-product for the non-commutative torus. Zbl 1473.37013
Del Vecchio, Simone; Fidaleo, Francesco; Giorgetti, Luca; Rossi, Stefano
7
2021
On preimage entropy, folding entropy and stable entropy. Zbl 1461.37037
Wu, Weisheng; Zhu, Yujun
7
2021
On intrinsic and extrinsic rational approximation to Cantor sets. Zbl 1472.11205
Schleischitz, Johannes
6
2021
Big mapping class groups and rigidity of the simple circle. Zbl 1470.37066
Calegari, Danny; Chen, Lvzhou
6
2021
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms. Zbl 1481.37033
Hu, Huyi; Wu, Weisheng; Zhu, Yujun
6
2021
Computable Følner monotilings and a theorem of Brudno. Zbl 1486.37009
Moriakov, Nikita
6
2021
Limit theorems for some skew products with mixing base maps. Zbl 1475.60052
Hafouta, Yeor
5
2021
Free minimal actions of countable groups with invariant probability measures. Zbl 1469.46064
Elek, Gábor
5
2021
Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048
Zhang, Dongfeng; Xu, Junxiang
5
2021
Eventually dendric shift spaces. Zbl 1470.37023
Dolce, Francesco; Perrin, Dominique
5
2021
Relative bifurcation sets and the local dimension of univoque bases. Zbl 1475.11014
Allaart, Pieter; Kong, Derong
5
2021
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Cited by 10,685 Authors

79 Llibre, Jaume
74 Urbański, Mariusz
65 Pollicott, Mark
61 Oprocha, Piotr
57 Varandas, Paulo
57 Ye, Xiangdong
56 Huang, Wen
52 Melbourne, Ian
51 Bruin, Henk
49 Lopes, Artur Oscar
49 Vaienti, Sandro
47 Barreira, Luis Manuel
47 de la Llave, Rafael
47 Lee, Manseob
46 Avila, Artur
46 Damanik, David
45 Bergelson, Vitaly
45 Blokh, Alexander M.
45 Giné, Jaume
44 Lemańczyk, Mariusz
44 Morales, Carlos Arnoldo
43 Bonatti, Christian
43 Rams, Michał
43 Valls Anglés, Cláudia
42 Chen, Ercai
40 Bessa, Mário
37 Baake, Michael
37 Lenz, Daniel H.
37 Matsumoto, Kengo
36 Algaba, Antonio
36 Raeburn, Iain
36 Solomyak, Boris
36 Xu, Junxiang
35 Glasner, Eli
34 Sims, Aidan
33 Fraser, Jonathan MacDonald
32 Bowen, Lewis Phylip
32 Cao, Yongluo
32 Jørgensen, Palle E. T.
32 Peris, Alfredo
31 Crovisier, Sylvain
31 Dolgopyat, Dmitry
31 Gelfert, Katrin Grit
31 Misiurewicz, Michał
30 Díaz, Lorenzo Justiniano
30 Downarowicz, Tomasz
30 Dragičević, Davor
30 Gentile, Guido
30 Kifer, Yuri
30 Li, Bing
30 Li, Jian
30 Mukhamedov, Farruh Maksutovich
30 Pesin, Yakov Borisovich
30 Todd, Mike
29 Araújo, Vítor
29 Ban, Jungchao
29 Danilenko, Alexandre I.
29 Galatolo, Stefano
29 Jamilov, Uygun U.
29 Lindenstrauss, Elon
29 Oversteegen, Lex G.
29 Pacifico, Maria José
29 Pavlov, Ronnie
29 Quas, Anthony
29 Sharp, Richard W.
28 Berthé, Valérie
28 Devaney, Robert L.
28 Feng, De-Jun
28 Haydn, Nicolai T. A.
28 Oertel-Jäger, Tobias Hendrik
28 Kesseböhmer, Marc
28 Kra, Bryna
28 Mischaikow, Konstantin
28 Nicol, Matthew
28 Schmidt, Klaus
28 Viana, Marcelo
27 Baladi, Viviane
27 Einsiedler, Manfred Leopold
27 Hubert, Pascal
27 Ioana, Adrian
27 Keller, Gerhard
27 Liverani, Carlangelo
27 Lyubich, Mikhail
27 Morris, Ian D.
27 Ryzhikov, Valeriĭ Valentinovich
27 van Strien, Sebastian J.
27 Yang, Jiagang
27 Zhao, Yun
26 Alsedà, Lluís
26 Boyle, Mike
26 Fayad, Bassam R.
26 Frantzikinakis, Nikos
26 García, Cristóbal
26 Katok, Anatole
26 Li, Zhiming
26 Maass, Alejandro
26 Paternain, Gabriel Pedro
26 Popa, Sorin Teodor
26 Potrie, Rafael
26 Rodriguez-Hertz, Federico
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Cited in 712 Journals

1,288 Ergodic Theory and Dynamical Systems
590 Transactions of the American Mathematical Society
514 Proceedings of the American Mathematical Society
494 Communications in Mathematical Physics
488 Israel Journal of Mathematics
445 Discrete and Continuous Dynamical Systems
438 Journal of Mathematical Analysis and Applications
421 Journal of Differential Equations
372 Advances in Mathematics
303 Topology and its Applications
288 Journal of Statistical Physics
271 Nonlinearity
258 Journal of Functional Analysis
245 Inventiones Mathematicae
240 Dynamical Systems
234 Physica D
196 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
195 Mathematische Zeitschrift
178 Journal of Dynamics and Differential Equations
172 Chaos, Solitons and Fractals
169 Journal d’Analyse Mathématique
164 Annales de l’Institut Fourier
154 Monatshefte für Mathematik
152 Chaos
151 Qualitative Theory of Dynamical Systems
149 Duke Mathematical Journal
144 Geometriae Dedicata
139 Theoretical Computer Science
136 Journal of Modern Dynamics
130 Mathematische Annalen
123 Journal of Difference Equations and Applications
122 Stochastics and Dynamics
120 Geometric and Functional Analysis. GAFA
115 Journal of Mathematical Physics
106 Comptes Rendus. Mathématique. Académie des Sciences, Paris
96 Acta Mathematica Sinica. English Series
91 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
90 Geometry & Topology
89 Annals of Mathematics. Second Series
89 Journal of the European Mathematical Society (JEMS)
86 Indagationes Mathematicae. New Series
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78 Groups, Geometry, and Dynamics
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76 Conformal Geometry and Dynamics
75 Journal of the American Mathematical Society
74 Regular and Chaotic Dynamics
74 Annales Henri Poincaré
73 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
71 Bulletin of the Brazilian Mathematical Society. New Series
68 Science China. Mathematics
66 International Journal of Mathematics
64 Stochastic Processes and their Applications
61 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
60 Journal of Geometry and Physics
60 The Journal of Geometric Analysis
59 Journal of the London Mathematical Society. Second Series
57 Bulletin de la Société Mathématique de France
56 The Annals of Probability
56 Probability Theory and Related Fields
55 Journal of Dynamical and Control Systems
54 Bulletin of the Australian Mathematical Society
51 Acta Mathematica
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49 Fractals
49 Discrete and Continuous Dynamical Systems. Series B
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48 Communications in Nonlinear Science and Numerical Simulation
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44 Linear Algebra and its Applications
43 Bulletin of the London Mathematical Society
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43 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
42 Fundamenta Mathematicae
42 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
40 Compositio Mathematica
40 Bulletin des Sciences Mathématiques
39 Rocky Mountain Journal of Mathematics
38 Celestial Mechanics and Dynamical Astronomy
38 SIAM Journal on Applied Dynamical Systems
37 Studia Mathematica
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36 Publications Mathématiques
35 Boletim da Sociedade Brasileira de Matemática. Nova Série
34 Journal of Pure and Applied Algebra
34 Journal de Mathématiques Pures et Appliquées. Neuvième Série
34 Journal of the Australian Mathematical Society
34 Proceedings of the Steklov Institute of Mathematics
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33 Illinois Journal of Mathematics
33 Calculus of Variations and Partial Differential Equations
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32 Journal of Topology and Analysis
30 Applied Mathematics and Computation
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Cited in 62 Fields

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856 Group theory and generalizations (20-XX)
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