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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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...and 118 more Volumes
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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)

Publications by Year

Citations contained in zbMATH Open

2,707 Publications have been cited 27,126 times in 14,419 Documents Cited by Year
Dimension, entropy and Lyapunov exponents. Zbl 0523.58024
Young, Lai-sang
200
1982
An amenable equivalence relation is generated by a single transformation. Zbl 0491.28018
Connes, A.; Feldman, J.; Weiss, B.
185
1981
Subadditive mean ergodic theorems. Zbl 0471.28011
Derriennic, Y.; Krengel, U.
159
1981
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
138
1982
A probabilistic approach to intermittency. Zbl 0988.37035
Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro
127
1999
Thermodynamic formalism for countable Markov shifts. Zbl 0994.37005
Sarig, Omri M.
125
1999
Dynamical properties of plane polynomial automorphisms. Zbl 0651.58027
Friedland, Shmuel; Milnor, John
116
1989
Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033
Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F.
114
1997
Dynamics of self-similar tilings. Zbl 0884.58062
Solomyak, Boris
111
1997
The \(C^ 1\) closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
105
1983
Compact metric spaces, Fredholm modules, and hyperfiniteness. Zbl 0718.46051
Connes, A.
101
1989
Topological invariants for substitution tilings and their associated \(C^*\)-algebras. Zbl 1053.46520
Anderson, Jared E.; Putnam, Ian F.
100
1998
Finite beta-expansions. Zbl 0814.68065
Frougny, Christiane; Solomyak, Boris
99
1992
Banach spaces adapted to Anosov systems. Zbl 1088.37010
Gouëzel, Sébastien; Liverani, Carlangelo
95
2006
Genericity of zero Lyapunov exponents. Zbl 1023.37006
Bochi, Jairo
94
2002
Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035
Lyubich, M. Yu.
94
1983
Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008
Francoise, J. P.
88
1996
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
87
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.
77
1987
Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003
Leibman, A.
75
2005
Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027
Moussu, Robert
74
1982
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
72
1984
Oscillation in ergodic theory. Zbl 0924.28009
Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté
72
1998
Symbolic dynamics for \(\beta\)-shifts and self-normal numbers. Zbl 0908.58017
Schmeling, Jörg
72
1997
Dynamical systems, shape theory and the Conley index. Zbl 0682.58040
Robbin, Joel W.; Salamon, Dietmar
71
1988
On the topological entropy of saturated sets. Zbl 1130.37329
Pfister, C.-E.; Sullivan, W. G.
71
2007
Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075
Kůrka, Petr
70
1997
The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035
Lind, D. A.
69
1984
Some properties of absolutely continuous invariant measures on an interval. Zbl 0487.28015
Ledrappier, Francois
68
1981
Hausdorff dimension for horseshoes. Zbl 0529.58022
McCluskey, Heather; Manning, Anthony
67
1983
Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025
Krupa, Martin; Melbourne, Ian
67
1995
A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042
Barreira, Luis M.
65
1996
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
64
2000
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
64
2004
Weakly mixing PET. Zbl 0645.28012
Bergelson, V.
63
1987
Lyapunov minimizing measures for expanding maps of the circle. Zbl 0997.37016
Contreras, G.; Lopes, A. O.; Thieullen, Ph.
63
2001
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
63
1982
Invariant families of cones and Lyapunov exponents. Zbl 0578.58033
Wojtkowski, Maciej
62
1985
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
62
2003
Diffeomorphisms in \(\mathcal F^ 1(M)\) satisfy Axiom A. Zbl 0760.58035
Hayashi, Shuhei
62
1992
A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022
Ledrappier, François; Strelcyn, Jean-Marie
62
1982
Local analytic integrability for nilpotent centers. Zbl 1037.34025
Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume
61
2003
Asymptotic formulas on flat surfaces. Zbl 1096.37501
Eskin, Alex; Masur, Howard
61
2001
Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004
Tao, Terence
61
2008
An ergodic theorem for iterated maps. Zbl 0621.60039
Elton, John H.
61
1987
Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019
Schmidt, Klaus
60
1981
Geometry of the Katok examples. Zbl 0559.58027
Ziller, Wolfgang
59
1983
Ergodic theory on Galton-Watson trees: Speed of random walk and dimension of harmonic measure. Zbl 0819.60077
Lyons, Russell; Pemantle, Robin; Peres, Yuval
59
1995
Repetitive Delone sets and quasicrystals. Zbl 1062.52021
Lagarias, Jeffrey C.; Pleasants, Peter A. B.
59
2003
Invariant curves and time-dependent potentials. Zbl 0742.34050
Laederich, Stephane; Levi, Mark
59
1991
Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005
Buzzi, Jérôme; Sarig, Omri
58
2003
The singularity spectrum f(\(\alpha\) ) for cookie-cutters. Zbl 0664.58022
Rand, D. A.
57
1989
Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019
Collet, P.
57
2001
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
54
1988
Frequently hypercyclic operators and vectors. Zbl 1119.47011
Bonilla, A.; Grosse-Erdmann, K.-G.
54
2007
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
54
2000
A finiteness theorem for a dynamical class of entire functions. Zbl 0657.58011
Goldberg, Lisa R.; Keen, Linda
52
1986
Ergodic fractal measures and dimension conservation. Zbl 1154.37322
Furstenberg, Hillel
52
2008
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
52
1989
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
52
1983
Poisson law for Axiom A diffeomorphism. Zbl 0828.58026
Hirata, Masaki
52
1993
On ergodic actions whose self-joinings are graphs. Zbl 0646.60010
Del Junco, A.; Rudolph, D.
51
1987
Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331
Rey-Bellet, Luc; Young, Lai-Sang
51
2008
Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077
Denker, Manfred; Philipp, Walter
51
1984
Sectional-hyperbolic systems. Zbl 1165.37010
Metzger, R.; Morales, C.
50
2008
The gradient structure of a flow. I. Zbl 0687.58033
Conley, C.
50
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
49
2004
Constructions in elliptic dynamics. Zbl 1089.37012
Fayad, Bassam; Katok, Anatole
48
2004
\(\times 2\) and \(\times 3\) invariant measures and entropy. Zbl 0709.28013
Rudolph, Daniel J.
48
1990
Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026
Hu, Huyi
48
2004
Null systems and sequence entropy pairs. Zbl 1134.37308
Huang, W.; Li, S. M.; Shao, S.; Ye, X. D.
46
2003
On iterates of \(e^ z\). Zbl 0466.30019
Misiurewicz, Michal
46
1981
Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040
Pansu, Pierre
46
1983
On dynamics of triangular maps of the square. Zbl 0784.58038
Kolyada, S. F.
46
1992
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
45
1984
Entropy and volume. Zbl 0638.58016
Newhouse, Sheldon E.
45
1988
A new look at the crossed-product of a \(C^ *\)-algebra by an endomorphism. Zbl 1059.46050
Exel, Ruy
45
2003
Resonance between Cantor sets. Zbl 1159.37005
Peres, Yuval; Shmerkin, Pablo
45
2009
Poisson limit law for Markov chains. Zbl 0753.60058
Pitskel, B.
45
1991
Automorphisms of solenoids and \(p\)-adic entropy. Zbl 0634.22005
Lind, Douglas A.; Ward, Thomas B.
44
1988
Regular periodic decompositions for topologically transitive maps. Zbl 0921.54029
Banks, John
44
1997
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
43
1986
An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002
Fadell, Edward; Husseini, Sufian
43
1988
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
43
2007
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
43
2015
Commutators and diffeomorphisms of surfaces. Zbl 1088.37018
Gambaudo, Jean-Marc; Ghys, Étienne
42
2004
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
42
1996
Automorphisms of compact groups. Zbl 0709.54023
Kitchens, Bruce; Schmidt, Klaus
42
1989
The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008
Wilson, George
42
1981
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
41
1996
Adapted metrics for dominated splittings. Zbl 1127.37031
Gourmelon, Nikolaz
41
2007
Rigidity in topological dynamics. Zbl 0661.58027
Glasner, S.; Maon, D.
40
1989
Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058
Dolgopyat, Dmitry
40
1998
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
40
1992
Entropy and closed geodesics. Zbl 0525.58027
Katok, A.
40
1982
Topological entropy for divergence points. Zbl 1098.37013
Ercai, Chen; Küpper, Tassilo; Lin, Shu
39
2005
Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Zbl 1205.37015
Froyland, Gary; Lloyd, Simon; Quas, Anthony
39
2010
A pasting Lemma and some applications for conservative systems. Zbl 1142.37025
Arbieto, Alexander; Matheus, Carlos
39
2007
Purely infinite \(C^{\ast}\)-algebras arising from crossed products. Zbl 1252.46061
Rørdam, Mikael; Sierakowski, Adam
39
2012
Existence of invariant tori in volume-preserving diffeomorphisms. Zbl 0768.58042
Xia, Zhihong
39
1992
Topological entropy of Markov set-valued functions. Zbl 1455.37014
Alvin, Lori; Kelly, James P.
3
2021
Shadowing and structural stability for operators. Zbl 07317318
Bernardes, Nilson C. jun.; Messaoudi, Ali
2
2021
Ergodic properties of the Anzai skew-product for the non-commutative torus. Zbl 07317321
Del Vecchio, Simone; Fidaleo, Francesco; Giorgetti, Luca; Rossi, Stefano
2
2021
Rokhlin dimension: duality, tracial properties, and crossed products. Zbl 1458.46054
Gardella, Eusebio; Hirshberg, Ilan; Santiago, Luis
2
2021
Bounded complexity, mean equicontinuity and discrete spectrum. Zbl 1456.37015
Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong
2
2021
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
2
2021
A note on the topology of escaping endpoints. Zbl 07317324
Lipham, David S.
1
2021
Asymptotic escape rates and limiting distributions for multimodal maps. Zbl 07352597
Demers, Mark F.; Todd, Mike
1
2021
Big mapping class groups and rigidity of the simple circle. Zbl 07354873
Calegari, Danny; Chen, Lvzhou
1
2021
Transfer operators for ultradifferentiable expanding maps of the circle. Zbl 07354878
Jézéquel, Malo
1
2021
A characterization of 3D steady Euler flows using commuting zero-flux homologies. Zbl 07354883
Peralta-Salas, Daniel; Rechtman, Ana; Torres De Lizaur, Francisco
1
2021
Anosov diffeomorphisms of products. I: Negative curvature and rational homology spheres. Zbl 1458.57033
Neofytidis, Christoforos
1
2021
Limit theorems for some skew products with mixing base maps. Zbl 07282576
Hafouta, Yeor
1
2021
Free minimal actions of countable groups with invariant probability measures. Zbl 07301402
Elek, Gábor
1
2021
Bernoulli decomposition and arithmetical independence between sequences. Zbl 1459.11150
Yu, Han
1
2021
Relative bifurcation sets and the local dimension of univoque bases. Zbl 07371039
Allaart, Pieter; Kong, Derong
1
2021
Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts. Zbl 07371040
Chung, Nhan-Phu; Jiang, Yongle
1
2021
The ideal structures of self-similar \(k\)-graph C*-algebras. Zbl 07371048
Li, Hui; Yang, Dilian
1
2021
Ideal structure and pure infiniteness of ample groupoid \(C^{\ast}\)-algebras. Zbl 1444.46046
Bönicke, Christian; Li, Kang
7
2020
On mixing and the local central limit theorem for hyperbolic flows. Zbl 1440.37012
Dolgopyat, Dmitry; Nándori, Péter
5
2020
Rates in almost sure invariance principle for slowly mixing dynamical systems. Zbl 1448.37008
Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence
4
2020
A dichotomy for groupoid \(C^*\)-algebras. Zbl 1444.46041
Rainone, Timothy; Sims, Aidan
4
2020
Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms. Zbl 1437.37003
Bruin, Henk; Terhesiu, Dalia
4
2020
Nilsequences and multiple correlations along subsequences. Zbl 07201492
Le, Anh Ngoc
3
2020
Dynamical degrees of Hurwitz correspondences. Zbl 1443.14031
Ramadas, Rohini
3
2020
Cascades in the dynamics of affine interval exchange transformations. Zbl 1448.37047
Boulanger, Adrien; Fougeron, Charles; Ghazouani, Selim
3
2020
Topological and almost Borel universality for systems with the weak specification property. Zbl 1447.37018
Burguet, David
3
2020
The \(\beta\)-transformation with a hole at 0. Zbl 1448.11153
Kalle, Charlene; Kong, Derong; Langeveld, Niels; Li, Wenxia
3
2020
Realizing uniformly recurrent subgroups. Zbl 1439.22015
Matte Bon, Nicolás; Tsanikov, Todor
3
2020
An optimal transportation approach to the decay of correlations for non-uniformly expanding maps. Zbl 1437.37027
Kloeckner, Benoît R.
3
2020
Examples in the entropy theory of countable group actions. Zbl 1452.37006
Bowen, Lewis
3
2020
Lebesgue measure of escaping sets of entire functions. Zbl 1433.37045
Cui, Weiwei
2
2020
The sets of Dirichlet non-improvable numbers versus well-approximable numbers. Zbl 1455.11111
Bakhtawar, Ayreena; Bos, Philip; Hussain, Mumtaz
2
2020
Monic representations of finite higher-rank graphs. Zbl 1453.46050
Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith
2
2020
On the conservative pasting lemma. Zbl 1441.37028
Teixeira, Pedro
2
2020
Potential kernel, hitting probabilities and distributional asymptotics. Zbl 1451.60089
Pène, Françoise; Thomine, Damien
2
2020
The weak Bernoulli property for matrix Gibbs states. Zbl 1447.37047
Piraino, Mark
2
2020
Hyperfiniteness of boundary actions of cubulated hyperbolic groups. Zbl 07228223
Huang, Jingyin; Sabok, Marcin; Shinko, Forte
2
2020
Dynamics of post-critically finite maps in higher dimension. Zbl 1437.37059
Astorg, Matthieu
2
2020
On the computability of rotation sets and their entropies. Zbl 1437.37010
Burr, Michael A.; Schmoll, Martin; Wolf, Christian
2
2020
Non-commutative ergodic averages of balls and spheres over Euclidean spaces. Zbl 1435.37008
Hong, Guixiang
2
2020
Pointwise equidistribution and translates of measures on homogeneous spaces. Zbl 1445.22001
Khalil, Osama
2
2020
(Dis)continuity of Lyapunov exponents. Zbl 1442.37048
Viana, Marcelo
2
2020
Dynamical sets whose union with infinity is connected. Zbl 1440.37055
Sixsmith, David J.
2
2020
Characterizing asymptotic randomization in abelian cellular automata. Zbl 1441.37017
Hellouin De Menibus, B.; Salo, V.; Theyssier, G.
2
2020
A minimal distal map on the torus with sub-exponential measure complexity. Zbl 1437.37001
Huang, Wen; Xu, Leiye; Ye, Xiangdong
2
2020
Escaping orbits are rare in the quasi-periodic Fermi-Ulam ping-pong. Zbl 1437.37028
Kunze, Markus; Ortega, Rafael
2
2020
On the stable ergodicity of Berger-Carrasco’s example. Zbl 1437.37041
Obata, Davi
2
2020
Weak containment of measure-preserving group actions. Zbl 07257148
Burton, Peter J.; Kechris, Alexander S.
2
2020
Kesten’s theorem for uniformly recurrent subgroups. Zbl 1448.05185
Fraczyk, Mikolaj
2
2020
Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems. Zbl 1454.37052
Backes, Lucas; Poletti, Mauricio; Varandas, Paulo; Lima, Yuri
2
2020
A history of central sets. Zbl 1435.37003
Hindman, Neil
1
2020
Complexity of injective piecewise contracting interval maps. Zbl 1432.37067
Catsigeras, E.; Guiraud, P.; Meyroneinc, A.
1
2020
Diffeomorphism group valued cocycles over higher-rank abelian Anosov actions. Zbl 1436.37038
Damjanović, Danijela; Xu, Disheng
1
2020
Simultaneous equidistributing and non-dense points for non-commuting toral automorphisms. Zbl 1442.37043
Einsiedler, Manfred; Maier, Alex
1
2020
\(\mathcal{M}_4\) is regular-closed. Zbl 1431.28010
Himeki, Yutaro; Ishii, Yutaka
1
2020
Generic point equivalence and Pisot numbers. Zbl 1467.37039
Akiyama, Shigeki; Kaneko, Hajime; Kim, Dong Han
1
2020
Global fixed points for nilpotent actions on the torus. Zbl 1454.37028
Firmo, S.; Ribón, J.
1
2020
Null systems in the non-minimal case. Zbl 1455.37010
Qiu, Jiahao; Zhao, Jianjie
1
2020
Spectral gap property and strong ergodicity for groups of affine transformations of solenoids. Zbl 1448.37036
Bekka, Bachir; Francini, Camille
1
2020
Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents. Zbl 1441.37049
Gorbovickis, Igors; Yampolsky, Michael
1
2020
The \(C^1\) property of convex carrying simplices for competitive maps. Zbl 1441.37030
Mierczyński, Janusz
1
2020
Delone dynamical systems and spectral convergence. Zbl 1443.37007
Beckus, Siegfried; Pogorzelski, Felix
1
2020
SRB measures for partially hyperbolic attractors of local diffeomorphisms. Zbl 1458.37029
Cruz, Anderson; Varandas, Paulo
1
2020
Pointwise multiple averages for sublinear functions. Zbl 1450.37005
Donoso, Sebastián; Koutsogiannis, Andreas; Sun, Wenbo
1
2020
Cogrowth for group actions with strongly contracting elements. Zbl 1446.37034
Arzhantseva, Goulnara N.; Cashen, Christopher H.
1
2020
Manhattan curves for hyperbolic surfaces with cusps. Zbl 1458.37050
Kao, Lien-Yung
1
2020
Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces. Zbl 1446.37010
Artigiani, Mauro; Marchese, Luca; Ulcigrai, Corinna
1
2020
An answer to Furstenberg’s problem on topological disjointness. Zbl 1452.37011
Huang, Wen; Shao, Song; Ye, Xiangdong
1
2020
Deviations in the Franks-Misiurewicz conjecture. Zbl 1448.37054
Passeggi, Alejandro; Sambarino, Martín
1
2020
Homology of odometers. Zbl 1460.46065
Scarparo, Eduardo
1
2020
Lyapunov optimization for non-generic one-dimensional expanding Markov maps. Zbl 1448.37051
Shinoda, Mao; Takahasi, Hiroki
1
2020
Pure point/continuous decomposition of translation-bounded measures and diffraction. Zbl 1436.37003
Aujouge, Jean-Baptiste
1
2020
Odd-symplectic forms via surgery and minimality in symplectic dynamics. Zbl 1437.53068
Geiges, Hansjörg; Zehmisch, Kai
1
2020
Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base. Zbl 07257152
Han, R.; Lemm, M.; Schlag, W.
1
2020
Local escape rates for \(\phi\)-mixing dynamical systems. Zbl 1453.37004
Haydn, N.; Yang, Fan
1
2020
Sylvester matrix rank functions on crossed products. Zbl 1461.16009
Ara, Pere; Claramunt, Joan
1
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
1
2020
The maximal injective crossed product. Zbl 07257198
Buss, Alcides; Echterhoff, Siegfried; Willett, Rufus
1
2020
Equilibrium states for a class of skew products. Zbl 1452.37040
Carvalho, Maria; Pérez, Sebastián A.
1
2020
A rational map with infinitely many points of distinct arithmetic degrees. Zbl 1454.37098
Lesieutre, John; Satriano, Matthew
1
2020
The Hausdorff dimension of multiply Xiong chaotic sets. Zbl 1464.37034
Li, Jian; Lü, Jie; Xiao, Yuanfen
1
2020
\(C^1\)-openness of non-uniform hyperbolic diffeomorphisms with bounded \(C^2\)-norm. Zbl 1452.37037
Liang, Chao; Marin, Karina; Yang, Jiagang
1
2020
Skew product Smale endomorphisms over countable shifts of finite type. Zbl 1452.37041
Mihailescu, Eugen; Urbański, Mariusz
1
2020
Equilibrium states for Mañé diffeomorphisms. Zbl 07089571
Climenhaga, Vaughn; Fisher, Todd; Thompson, Daniel J.
13
2019
Ergodic optimization in dynamical systems. Zbl 1435.37009
Jenkinson, Oliver
12
2019
Rokhlin dimension for actions of residually finite groups. Zbl 1451.37014
Szabó, Gábor; Wu, Jianchao; Zacharias, Joachim
10
2019
Recognizability for sequences of morphisms. Zbl 07114239
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem
7
2019
Escape of mass and entropy for geodesic flows. Zbl 1414.37021
Riquelme, Felipe; Velozo, Anibal
7
2019
Thermodynamics of the Katok map. Zbl 1412.37043
Pesin, Y.; Senti, S.; Zhang, K.
7
2019
When is a dynamical system mean sensitive? Zbl 1410.37010
García-Ramos, Felipe; Li, Jie; Zhang, Ruifeng
7
2019
On the relation between Gibbs and \(g\)-measures. Zbl 1427.37025
Berghout, Steven; Fernández, Roberto; Verbitskiy, Evgeny
6
2019
Conformal trace theorem for Julia sets of quadratic polynomials. Zbl 1425.37032
Connes, A.; Mcdonald, E.; Sukochev, F.; Zanin, D.
6
2019
Simple groups of dynamical origin. Zbl 1421.22003
Nekrashevych, V.
6
2019
On the statistical stability of Lorenz attractors with a \(C^{1+\alpha}\) stable foliation. Zbl 1433.37031
Bahsoun, Wael; Ruziboev, Marks
5
2019
Pseudo-orbit tracing and algebraic actions of countable amenable groups. Zbl 1431.37030
Meyerovitch, Tom
5
2019
On the dimension of triangular self-affine sets. Zbl 1423.37026
Bárány, Balázs; Rams, Michał; Simon, Károly
5
2019
Periodic approximation of Lyapunov exponents for Banach cocycles. Zbl 1416.37049
Kalinin, Boris; Sadovskaya, Victoria
5
2019
Mixing for suspension flows over skew-translations and time-changes of quasi-abelian filiform nilflows. Zbl 1433.37022
Ravotti, Davide
4
2019
Ground states and zero-temperature measures at the boundary of rotation sets. Zbl 1402.37040
Kucherenko, Tamara; Wolf, Christian
4
2019
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Cited by 9,184 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
31 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 Kifer, Yuri
25 Lindenstrauss, Elon
25 Popa, Sorin Teodor
24 Danilenko, Alexandre I.
24 Díaz, Lorenzo Justiniano
24 Ioana, Adrian
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 Carlsen, Toke Meier
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.
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Cited in 631 Journals

1,070 Ergodic Theory and Dynamical Systems
534 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
289 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
131 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
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Cited in 62 Fields

9,662 Dynamical systems and ergodic theory (37-XX)
1,679 Measure and integration (28-XX)
1,081 Probability theory and stochastic processes (60-XX)
1,076 Ordinary differential equations (34-XX)
1,009 Functional analysis (46-XX)
1,002 Number theory (11-XX)
933 General topology (54-XX)
838 Differential geometry (53-XX)
770 Operator theory (47-XX)
734 Functions of a complex variable (30-XX)
688 Topological groups, Lie groups (22-XX)
638 Group theory and generalizations (20-XX)
628 Manifolds and cell complexes (57-XX)
525 Mechanics of particles and systems (70-XX)
481 Global analysis, analysis on manifolds (58-XX)
427 Several complex variables and analytic spaces (32-XX)
425 Partial differential equations (35-XX)
419 Computer science (68-XX)
395 Statistical mechanics, structure of matter (82-XX)
361 Combinatorics (05-XX)
264 Convex and discrete geometry (52-XX)
222 Abstract harmonic analysis (43-XX)
215 Quantum theory (81-XX)
186 Algebraic geometry (14-XX)
180 Harmonic analysis on Euclidean spaces (42-XX)
180 Biology and other natural sciences (92-XX)
166 Mathematical logic and foundations (03-XX)
147 Algebraic topology (55-XX)
146 Real functions (26-XX)
126 Numerical analysis (65-XX)
111 Difference and functional equations (39-XX)
100 Linear and multilinear algebra; matrix theory (15-XX)
100 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)
57 Geometry (51-XX)
52 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)
21 Integral transforms, operational calculus (44-XX)
19 Approximations and expansions (41-XX)
19 Relativity and gravitational theory (83-XX)
19 Geophysics (86-XX)
18 Mechanics of deformable solids (74-XX)
10 General algebraic systems (08-XX)
8 Integral equations (45-XX)
8 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)

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