## 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: 3,335 Publications (since 1981) References Indexed: 2,274 Publications with 47,954 References.
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### Authors

 24 Rudolph, Daniel J. 22 Bonatti, Christian 22 Weiss, Benjamin 20 Misiurewicz, Michał 20 Urbański, Mariusz 18 Bergelson, Vitaly 18 Katok, Anatole 18 Ye, Xiangdong 17 Glasner, Eli 16 Lemańczyk, Mariusz 15 Barge, Marcy M. 15 Pollicott, Mark 14 del Junco, Andres 14 Huang, Wen 13 Bruin, Henk 13 Danilenko, Alexandre I. 13 Dooley, Anthony Haynes 13 Leibman, Alexander 13 Maass, Alejandro 13 Yorke, James Alan 13 Young, Lai-Sang 12 Buzzi, Jérôme 12 Melbourne, Ian 12 Quas, Anthony 12 Schmidt, Klaus 11 Bowen, Lewis Phylip 11 Host, Bernard 11 Hu, Huyi 11 Matsumoto, Kengo 11 Pesin, Yakov Borisovich 11 Solomyak, Boris 11 Török, Andrei 10 Aaronson, Jon 10 Assani, Idris 10 Block, Louis Stuart 10 Blokh, Alexander M. 10 Dani, Shrikrishna Gopalrao 10 Downarowicz, Tomasz 10 Einsiedler, Manfred Leopold 10 Kamae, Teturo 10 Kitchens, Bruce P. 10 Pavlov, Ronnie 10 Rosenblatt, Joseph Max 9 Boyle, Mike 9 Fornæss, John Erik 9 Fried, David 9 Gambaudo, Jean-Marc 9 Golodets, Valentin Yakovlevich 9 Hasselblatt, Boris 9 Haydn, Nicolai T. A. 9 Jenkinson, Oliver 9 Jones, Roger L. 9 Keller, Gerhard 9 Nicol, Matthew 9 Nitecki, Zbigniew H. 9 Nogueira, Arnaldo C. R. 9 Oprocha, Piotr 9 Parry, William 9 Pujals, Enrique Ramiro 9 Varandas, Paulo 8 Burns, Keith 8 Coven, Ethan M. 8 de la Llave, Rafael 8 de Rezende, Ketty Abaroa 8 Díaz, Lorenzo Justiniano 8 Fayad, Bassam R. 8 Feldman, Jacob 8 Forni, Giovanni 8 Franks, John M. 8 Góra, Paweł 8 Homburg, Ale Jan 8 Kifer, Yuri 8 Kwapisz, Jaroslaw 8 Lopes, Artur Oscar 8 Niţică, Viorel 8 Pacifico, Maria José 8 Pivato, Marcus 8 Raeburn, Iain 8 Rams, Michał 8 Sadun, Lorenzo A. 8 Świątek, Grzegorz 8 Thomsen, Klaus E. 8 Tuncel, Selim 8 Vaienti, Sandro 8 Ward, Thomas B. 8 Yassawi, Reem 8 Yuri, Michiko 7 Auslander, Joseph 7 Baladi, Viviane 7 Barreira, Luis Manuel 7 Collet, Pierre 7 Devaney, Robert L. 7 Dolgopyat, Dmitry 7 Fiebig, Doris 7 Fiebig, Ulf-Rainer 7 Hamenstädt, Ursula 7 Hochman, Michael 7 Hurder, Steven E. 7 Hurley, Mike 7 Katok, Svetlana R. ...and 2,662 more Authors
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### Fields

 2,881 Dynamical systems and ergodic theory (37-XX) 523 Measure and integration (28-XX) 272 General topology (54-XX) 192 Differential geometry (53-XX) 187 Topological groups, Lie groups (22-XX) 168 Functional analysis (46-XX) 168 Probability theory and stochastic processes (60-XX) 153 Manifolds and cell complexes (57-XX) 138 Number theory (11-XX) 125 Functions of a complex variable (30-XX) 108 Operator theory (47-XX) 90 Global analysis, analysis on manifolds (58-XX) 88 Group theory and generalizations (20-XX) 79 Ordinary differential equations (34-XX) 69 Several complex variables and analytic spaces (32-XX) 56 Mechanics of particles and systems (70-XX) 44 Combinatorics (05-XX) 42 Computer science (68-XX) 32 Partial differential equations (35-XX) 30 Abstract harmonic analysis (43-XX) 28 Convex and discrete geometry (52-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Algebraic topology (55-XX) 18 Algebraic geometry (14-XX) 17 $$K$$-theory (19-XX) 15 History and biography (01-XX) 15 Mathematical logic and foundations (03-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Real functions (26-XX) 11 Difference and functional equations (39-XX) 11 Quantum theory (81-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 7 Geometry (51-XX) 7 Information and communication theory, circuits (94-XX) 6 General algebraic systems (08-XX) 6 Statistics (62-XX) 6 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Potential theory (31-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 1 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

2,864 Publications have been cited 30,066 times in 15,848 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
Banach spaces adapted to Anosov systems. Zbl 1088.37010
Gouëzel, Sébastien; Liverani, Carlangelo
2006
Finite beta-expansions. Zbl 0814.68065
Frougny, Christiane; Solomyak, Boris
1992
Topological invariants for substitution tilings and their associated $$C^*$$-algebras. Zbl 1053.46520
Anderson, Jared E.; Putnam, Ian F.
1998
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
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
1999
Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008
Francoise, J. P.
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.
1987
Symbolic dynamics for $$\beta$$-shifts and self-normal numbers. Zbl 0908.58017
Schmeling, Jörg
1997
Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003
Leibman, A.
2005
On the topological entropy of saturated sets. Zbl 1130.37329
Pfister, C.-E.; Sullivan, W. G.
2007
Oscillation in ergodic theory. Zbl 0924.28009
Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté
1998
Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027
Moussu, Robert
1982
Dynamical systems, shape theory and the Conley index. Zbl 0682.58040
Robbin, Joel W.; Salamon, Dietmar
1988
The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035
Lind, D. A.
1984
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
1984
Weakly mixing PET. Zbl 0645.28012
Bergelson, V.
1987
Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075
Kůrka, Petr
1997
A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042
Barreira, Luis M.
1996
A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022
Ledrappier, François; Strelcyn, Jean-Marie
1982
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
2004
Hausdorff dimension for horseshoes. Zbl 0529.58022
McCluskey, Heather; Manning, Anthony
1983
Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004
Tao, Terence
2008
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
1982
Some properties of absolutely continuous invariant measures on an interval. Zbl 0487.28015
Ledrappier, Francois
1981
On the variational principle for the topological entropy of certain non-compact sets. Zbl 1042.37020
Takens, Floris; Verbitskiy, Evgeny
2003
Asymptotic stability of heteroclinic cycles in systems with symmetry. Zbl 0818.58025
Krupa, Martin; Melbourne, Ian
1995
Asymptotic formulas on flat surfaces. Zbl 1096.37501
Eskin, Alex; Masur, Howard
2001
Geometry of the Katok examples. Zbl 0559.58027
Ziller, Wolfgang
1983
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
2000
Invariant curves and time-dependent potentials. Zbl 0742.34050
Laederich, Stephane; Levi, Mark
1991
Diffeomorphisms in $$\mathcal F^ 1(M)$$ satisfy Axiom A. Zbl 0760.58035
Hayashi, Shuhei
1992
Lyapunov minimizing measures for expanding maps of the circle. Zbl 0997.37016
Contreras, G.; Lopes, A. O.; Thieullen, Ph.
2001
An ergodic theorem for iterated maps. Zbl 0621.60039
Elton, John H.
1987
Invariant families of cones and Lyapunov exponents. Zbl 0578.58033
Wojtkowski, Maciej
1985
Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019
Schmidt, Klaus
1981
Local analytic integrability for nilpotent centers. Zbl 1037.34025
Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume
2003
Repetitive Delone sets and quasicrystals. Zbl 1062.52021
Lagarias, Jeffrey C.; Pleasants, Peter A. B.
2003
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
Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005
Buzzi, Jérôme; Sarig, Omri
2003
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
1989
Frequently hypercyclic operators and vectors. Zbl 1119.47011
Bonilla, A.; Grosse-Erdmann, K.-G.
2007
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
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
1988
Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331
Rey-Bellet, Luc; Young, Lai-Sang
2008
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
2015
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
1983
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
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
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
2000
The gradient structure of a flow. I. Zbl 0687.58033
Conley, C.
1988
Sectional-hyperbolic systems. Zbl 1165.37010
Metzger, R.; Morales, C.
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
2004
Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026
Hu, Huyi
2004
Poisson law for Axiom A diffeomorphism. Zbl 0828.58026
Hirata, Masaki
1993
Constructions in elliptic dynamics. Zbl 1089.37012
2004
Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040
Pansu, Pierre
1983
Mean equicontinuity and mean sensitivity. Zbl 1356.37016
Li, Jian; Tu, Siming; Ye, Xiangdong
2015
Entropy and closed geodesics. Zbl 0525.58027
Katok, A.
1982
Resonance between Cantor sets. Zbl 1159.37005
Peres, Yuval; Shmerkin, Pablo
2009
On iterates of $$e^ z$$. Zbl 0466.30019
Misiurewicz, Michal
1981
$$\times 2$$ and $$\times 3$$ invariant measures and entropy. Zbl 0709.28013
Rudolph, Daniel J.
1990
Poisson limit law for Markov chains. Zbl 0753.60058
Pitskel, B.
1991
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
Commutators and diffeomorphisms of surfaces. Zbl 1088.37018
Gambaudo, Jean-Marc; Ghys, Étienne
2004
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
1996
Null systems and sequence entropy pairs. Zbl 1134.37308
Huang, W.; Li, S. M.; Shao, S.; Ye, X. D.
2003
Topological entropy for divergence points. Zbl 1098.37013
Ercai, Chen; Küpper, Tassilo; Lin, Shu
2005
An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002
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 compact groups. Zbl 0709.54023
Kitchens, Bruce; Schmidt, Klaus
1989
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
2007
Rigidity in topological dynamics. Zbl 0661.58027
Glasner, S.; Maon, D.
1989
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
1992
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
1996
On dynamics of triangular maps of the square. Zbl 0784.58038
1992
Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058
Dolgopyat, Dmitry
1998
Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Zbl 1205.37015
Froyland, Gary; Lloyd, Simon; Quas, Anthony
2010
Automorphisms of solenoids and $$p$$-adic entropy. Zbl 0634.22005
Lind, Douglas A.; Ward, Thomas B.
1988
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
1986
Adapted metrics for dominated splittings. Zbl 1127.37031
Gourmelon, Nikolaz
2007
Existence of invariant tori in volume-preserving diffeomorphisms. Zbl 0768.58042
Xia, Zhihong
1992
On Khintchine exponents and Lyapunov exponents of continued fractions. Zbl 1158.37019
Fan, Aihua; Liao, Lingmin; Wang, Baowei; Wu, Jun
2009
SRB measures as zero-noise limits. Zbl 1098.37020
Cowieson, William; Young, Lai-Sang
2005
There are no deviations for the ergodic averages of Giulietti-Liverani horocycle flows on the two-torus. Zbl 1487.37005
2022
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. Zbl 1491.37031
Forni, Giovanni
2022
Arithmeticity of hyperbolic $$3$$-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017
2022
Generic non-singular Poisson suspension is of type $$\mathrm{III}_1$$. Zbl 07488210
Danilenko, Alexandre I.; Kosloff, Zemer; Roy, Emmanuel
2022
Entropies and volume growth of unstable manifolds. Zbl 07488216
Zang, Yuntao
2022
Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy. Zbl 1489.37052
Aguyar Brix, Kevin
2022
Generic homeomorphisms have full metric mean dimension. Zbl 1486.37016
Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo
2022
A variational principle for the metric mean dimension of free semigroup actions. Zbl 1485.37010
Carvalho, Maria; Rodrigues, Fagner B.; Varandas, Paulo
2022
The number of ergodic measures for transitive subshifts under the regular bispecial condition. Zbl 1489.37016
Damron, Michael; Fickenscher, Jon
2022
Invariant densities for random systems of the interval. Zbl 1486.37022
Kalle, Charlene; Maggioni, Marta
2022
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups. Zbl 1489.37037
Abrams, Adam; Katok, Svetlana; Ugarcovici, Ilie
2022
Pseudorotations of the $$2$$-disc and Reeb flows on the $$3$$-sphere. Zbl 07457811
Albers, Peter; Geiges, Hansjörg; Zehmisch, Kai
2022
Non-differentiable irrational curves for $$C^1$$ twist map. Zbl 1490.37057
2022
Geodesic planes in geometrically finite acylindrical 3-manifolds. Zbl 1485.37005
Benoist, Yves; Oh, Hee
2022
Flexibility of Lyapunov exponents. Zbl 07457816
Bochi, J.; Katok, A.; Rodriguez Hertz, F.
2022
Flexibility of Lyapunov exponents with respect to two classes of measures on the torus. Zbl 07457821
Erchenko, Alena
2022
Accessibility and centralizers for partially hyperbolic flows. Zbl 07469296
Fisher, Todd; Hasselblatt, Boris
2022
Homoclinic orbits for area preserving diffeomorphisms of surfaces. Zbl 07469304
Le Calvez, Patrice; Sambarino, Martín
2022
Counting closed geodesics in a compact rank-one locally CAT(0) space. Zbl 1490.37045
Ricks, Russell
2022
Thermodynamics of smooth models of pseudo-Anosov homeomorphisms. Zbl 07469309
Veconi, Dominic
2022
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Zbl 07543033
Danilenko, Alexandre I.; Lemańczyk, Mariusz
2022
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits. Zbl 07543036
Kim, Joontae; Kim, Seongchan; Kwon, Myeonggi
2022
A piecewise smooth Fermi-Ulam pingpong with potential. Zbl 07543040
Zhou, Jing
2022
Local limit theorems in relatively hyperbolic groups. I: Rough estimates. Zbl 07543349
Dussaule, Matthieu
2022
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. Zbl 07554507
Bahsoun, Wael; Liverani, Carlangelo
2022
Bounded complexity, mean equicontinuity and discrete spectrum. Zbl 1456.37015
Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong
2021
Shadowing and structural stability for operators. Zbl 1489.47011
Bernardes, Nilson C. jun.; Messaoudi, Ali
2021
Rokhlin dimension: duality, tracial properties, and crossed products. Zbl 1458.46054
Gardella, Eusebio; Hirshberg, Ilan; Santiago, Luis
2021
Topological entropy of Markov set-valued functions. Zbl 1455.37014
Alvin, Lori; Kelly, James P.
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
2021
On the rotation sets of generic homeomorphisms on the torus $$\mathbb{T}^d$$. Zbl 1479.37040
Lima, Heides; Varandas, Paulo
2021
Free minimal actions of countable groups with invariant probability measures. Zbl 1469.46064
Elek, Gábor
2021
Limit group invariants for non-free Cantor actions. Zbl 1475.37007
Hurder, Steven; Lukina, Olga
2021
Eventually dendric shift spaces. Zbl 1470.37023
Dolce, Francesco; Perrin, Dominique
2021
Dynamics of compact quantum metric spaces. Zbl 1479.46079
2021
A characterization of 3D steady Euler flows using commuting zero-flux homologies. Zbl 1468.35122
Peralta-Salas, Daniel; Rechtman, Ana; Torres De Lizaur, Francisco
2021
Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map. Zbl 1472.37038
Wang, Tianyu
2021
Relative bifurcation sets and the local dimension of univoque bases. Zbl 1475.11014
Allaart, Pieter; Kong, Derong
2021
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms. Zbl 1481.37033
Hu, Huyi; Wu, Weisheng; Zhu, Yujun
2021
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
2021
On preimage entropy, folding entropy and stable entropy. Zbl 1461.37037
Wu, Weisheng; Zhu, Yujun
2021
Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048
Zhang, Dongfeng; Xu, Junxiang
2021
Big mapping class groups and rigidity of the simple circle. Zbl 1470.37066
Calegari, Danny; Chen, Lvzhou
2021
Combinatorial independence and naive entropy. Zbl 1476.37021
Li, Hanfeng; Rong, Zhen
2021
Maximally highly proximal flows. Zbl 1480.37021
Zucker, Andy
2021
Open problems and questions about geodesics. Zbl 1486.53003
2021
A family of minimal and renormalizable rectangle exchange maps. Zbl 07454641
Alevy, Ian; Kenyon, Richard; Yi, Ren
2021
An autocorrelation and a discrete spectrum for dynamical systems on metric spaces. Zbl 1487.37009
Lenz, Daniel
2021
The Ellis semigroup of certain constant-length substitutions. Zbl 1487.37015
Staynova, Petra
2021
Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts. Zbl 07371040
Chung, Nhan-Phu; Jiang, Yongle
2021
Extremality and dynamically defined measures. II: Measures from conformal dynamical systems. Zbl 1469.11234
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz
2021
Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability. Zbl 1481.37029
Araujo, Vitor
2021
Krieger’s finite generator theorem for actions of countable groups. III. Zbl 1480.37013
Alpeev, Andrei; Seward, Brandon
2021
Markov chains with exponential return times are finitary. Zbl 1472.60116
Angel, Omer; Spinka, Yinon
2021
The Assouad spectrum of random self-affine carpets. Zbl 1479.28005
Fraser, Jonathan M.; Troscheit, Sascha
2021
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms. Zbl 1485.37028
Barthelmé, Thomas; Fenley, Sergio R.; Frankel, Steven; Potrie, Rafael
2021
$$L^q$$-spectra of measures on planar non-conformal attractors. Zbl 1482.28010
Falconer, Kenneth J.; Fraser, Jonathan M.; Lee, Lawrence D.
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Entropy of transcendental entire functions. Zbl 1459.37032
Benini, Anna Miriam; Fornæss, John Erik; Peters, Han
2021
Type classification of extreme quantized characters. Zbl 1482.46088
Sato, Ryosuke
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Limit theorems for some skew products with mixing base maps. Zbl 1475.60052
Hafouta, Yeor
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On the virtual automorphism group of a minimal flow. Zbl 1461.37014
Auslander, Joseph; Glasner, Eli
2021
Furstenberg boundaries for pairs of groups. Zbl 1461.37030
Monod, Nicolas
2021
Automorphisms of automatic shifts. Zbl 1461.37019
Müllner, Clemens; Yassawi, Reem
2021
On the fixed points of the Ruelle operator. Zbl 07317320
Cabrera, Carlos; Makienko, Peter
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A note on the topology of escaping endpoints. Zbl 07317324
Lipham, David S.
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Asymptotic escape rates and limiting distributions for multimodal maps. Zbl 1472.37024
Demers, Mark F.; Todd, Mike
2021
Primitive rational points on expanding horocycles in products of the modular surface with the torus. Zbl 1469.37026
Einsiedler, Manfred; Luethi, Manuel; Shah, Nimish A.
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Extensions with shrinking fibers. Zbl 07352600
Kloeckner, Benoît R.
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Thermodynamic formalism for Haar systems in noncommutative integration: transverse functions and entropy of transverse measures. Zbl 1469.37023
Lopes, Artur O.; Mengue, Jairo K.
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Corrigendum to: “Thermodynamics of the Katok map”. Zbl 1469.37024
Pesin, Y.; Senti, S.; Zhang, K.
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Maximizing Bernoulli measures and dimension gaps for countable branched systems. Zbl 1469.11251
Baker, Simon; Jurga, Natalia
2021
Transfer operators for ultradifferentiable expanding maps of the circle. Zbl 1469.37017
Jézéquel, Malo
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A generalized type semigroup and dynamical comparison. Zbl 1469.37009
Ma, Xin
2021
Sobolev regularity of solutions of the cohomological equation. Zbl 07454640
Forni, Giovanni
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Frequent universality criterion and densities. Zbl 07454643
Ernst, R.; Mouze, A.
2021
A construction of subshifts and a class of semigroups. Zbl 1487.37012
Hamachi, Toshihiro; Krieger, Wolfgang
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An example of a planar Anosov diffeomorphism without fixed points. Zbl 1487.37035
Matsumoto, Shigenori
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A new characterization of the Haagerup property by actions on infinite measure spaces. Zbl 1475.22013
Delabie, Thiebout; Jolissaint, Paul; Zumbrunnen, Alexandre
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The ideal structures of self-similar $$k$$-graph C*-algebras. Zbl 1480.46071
Li, Hui; Yang, Dilian
2021
Symbolic dynamics in mean dimension theory. Zbl 1479.37017
Shinoda, Mao; Tsukamoto, Masaki
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Kneading sequences for toy models of Hénon maps. Zbl 1485.37036
Araujo, Ermerson
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Complete regularity of Ellis semigroups of $$\mathbb{Z}$$-actions. Zbl 1483.37014
Barge, Marcy; Kellendonk, Johannes
2021
Steady Euler flows and Beltrami fields in high dimensions. Zbl 1483.37032
Cardona, Robert
2021
Chaos and frequent hypercyclicity for weighted shifts. Zbl 07428301
Charpentier, Stéphane; Grosse-Erdmann, Karl; Menet, Quentin
2021
Examples of exponentially many collisions in a hard ball system. Zbl 1476.37048
Burago, Dmitri; Ivanov, Sergei
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Classification of partially hyperbolic diffeomorphisms under some rigid conditions. Zbl 1478.37039
Carrasco, Pablo D.; Pujals, Enrique; Rodriguez-Hertz, Federico
2021
Limits of geodesic push-forwards of horocycle invariant measures. Zbl 1490.37006
Forni, Giovanni
2021
Large deviations and central limit theorems for sequential and random systems of intermittent maps. Zbl 1482.37010
Nicol, Matthew; Perez Pereira, Felipe; Török, Andrew
2021
Foliations and conjugacy. II: the Mendes conjecture for time-one maps of flows. Zbl 1481.37045
Groisman, Jorge; Nitecki, Zbigniew
2021
Distributional chaos in multifractal analysis, recurrence and transitivity. Zbl 1455.37009
Chen, An; Tian, Xueting
2021
Uniformly perfect finitely generated simple left orderable groups. Zbl 1472.43001
Hyde, James; Lodha, Yash; Navas, Andrés; Rivas, Cristóbal
2021
Anosov diffeomorphisms of products. I: Negative curvature and rational homology spheres. Zbl 1458.57033
Neofytidis, Christoforos
2021
Weak ergodic averages over dilated measures. Zbl 1456.37006
Sun, Wenbo
2021
A condition that implies full homotopical complexity of orbits for surface homeomorphisms. Zbl 1456.37043
2021
Endperiodic automorphisms of surfaces and foliations. Zbl 1464.57022
Cantwell, John; Conlon, Lawrence; Fenley, Sergio R.
2021
Partially hyperbolic surface endomorphisms. Zbl 1460.37031
Hall, Layne; Hammerlindl, Andy
2021
Commuting rational functions revisited. Zbl 1461.30059
Pakovich, Fedor
2021
$$C^*$$-algebras of a Cantor system with finitely many minimal subsets: structures, $$K$$-theories, and the index map. Zbl 1469.46050
Bezuglyi, Sergey; Niu, Zhuang; Sun, Wei
2021
A solution to Flinn’s conjecture on weakly expansive flows. Zbl 1471.37039
Huynh Minh Hien
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Cut and project sets with polytopal window. I: Complexity. Zbl 07301405
Koivusalo, Henna; Walton, James J.
2021
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### Cited by 9,953 Authors

 79 Llibre, Jaume 71 Urbański, Mariusz 58 Pollicott, Mark 54 Huang, Wen 54 Ye, Xiangdong 52 Melbourne, Ian 52 Oprocha, Piotr 52 Varandas, Paulo 48 Bruin, Henk 47 Barreira, Luis Manuel 47 Vaienti, Sandro 46 de la Llave, Rafael 45 Lee, Manseob 45 Lopes, Artur Oscar 44 Giné, Jaume 43 Valls Anglés, Cláudia 42 Blokh, Alexander M. 42 Morales, Carlos Arnoldo 41 Avila, Artur 41 Damanik, David 41 Lemańczyk, Mariusz 40 Bonatti, Christian 40 Chen, Ercai 40 Rams, Michał 38 Bergelson, Vitaly 38 Bessa, Mário 38 Lenz, Daniel H. 36 Baake, Michael 36 Matsumoto, Kengo 36 Raeburn, Iain 35 Algaba, Antonio 34 Glasner, Eli 34 Sims, Aidan 32 Bowen, Lewis Phylip 32 Solomyak, Boris 31 Jørgensen, Palle E. T. 30 Cao, Yongluo 30 Dolgopyat, Dmitry 30 Gentile, Guido 30 Peris, Alfredo 30 Pesin, Yakov Borisovich 30 Xu, Junxiang 29 Fraser, Jonathan MacDonald 29 Misiurewicz, Michał 28 Crovisier, Sylvain 28 Dragičević, Davor 28 Galatolo, Stefano 28 Gelfert, Katrin Grit 28 Li, Jian 28 Mischaikow, Konstantin 28 Schmidt, Klaus 28 Sharp, Richard W. 28 Todd, Mike 27 Araújo, Vítor 27 Danilenko, Alexandre I. 27 Devaney, Robert L. 27 Díaz, Lorenzo Justiniano 27 Oertel-Jäger, Tobias Hendrik 27 Kesseböhmer, Marc 27 Kifer, Yuri 27 Mukhamedov, Farruh Maksutovich 27 Oversteegen, Lex G. 27 Quas, Anthony 27 van Strien, Sebastian J. 27 Viana, Marcelo 26 Alsedà, Lluís 26 Boyle, Mike 26 Einsiedler, Manfred Leopold 26 García, Cristóbal 26 Haydn, Nicolai T. A. 26 Ioana, Adrian 26 Lindenstrauss, Elon 26 Morris, Ian D. 26 Nicol, Matthew 26 Pacifico, Maria José 26 Weiss, Benjamin 26 Zhao, Yun 25 Baladi, Viviane 25 Berthé, Valérie 25 Downarowicz, Tomasz 25 Froyland, Gary 25 Katok, Anatole 25 Kra, Bryna 25 Lyubich, Mikhail 25 Popa, Sorin Teodor 25 Sun, Taixiang 24 Akiyama, Shigeki 24 Artigue, Alfonso 24 Ban, Jungchao 24 Carlsen, Toke Meier 24 Fayad, Bassam R. 24 Feng, De-Jun 24 Keller, Gerhard 24 Liverani, Carlangelo 24 Luzzatto, Stefano 24 Maass, Alejandro 24 Paternain, Gabriel Pedro 24 Pavlov, Ronnie 24 Potrie, Rafael 24 Ryzhikov, Valeriĭ Valentinovich ...and 9,853 more Authors
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### Cited in 683 Journals

 1,184 Ergodic Theory and Dynamical Systems 561 Transactions of the American Mathematical Society 491 Proceedings of the American Mathematical Society 468 Communications in Mathematical Physics 468 Israel Journal of Mathematics 419 Discrete and Continuous Dynamical Systems 413 Journal of Mathematical Analysis and Applications 381 Journal of Differential Equations 331 Advances in Mathematics 291 Topology and its Applications 273 Journal of Statistical Physics 243 Journal of Functional Analysis 233 Inventiones Mathematicae 228 Physica D 225 Dynamical Systems 215 Nonlinearity 193 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 184 Mathematische Zeitschrift 165 Chaos, Solitons and Fractals 164 Annales de l’Institut Fourier 157 Journal of Dynamics and Differential Equations 152 Journal d’Analyse Mathématique 152 Chaos 148 Monatshefte für Mathematik 140 Duke Mathematical Journal 137 Geometriae Dedicata 132 Theoretical Computer Science 131 Qualitative Theory of Dynamical Systems 126 Journal of Modern Dynamics 123 Mathematische Annalen 114 Journal of Difference Equations and Applications 113 Stochastics and Dynamics 109 Geometric and Functional Analysis. GAFA 104 Journal of Mathematical Physics 104 Comptes Rendus. Mathématique. Académie des Sciences, Paris 93 Acta Mathematica Sinica. English Series 90 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Annals of Mathematics. Second Series 82 Journal of the European Mathematical Society (JEMS) 81 Indagationes Mathematicae. New Series 78 Mathematical Proceedings of the Cambridge Philosophical Society 78 Bulletin of the American Mathematical Society. New Series 78 Geometry & Topology 76 Journal of Number Theory 74 Journal of the American Mathematical Society 74 Regular and Chaotic Dynamics 73 Journal of Mathematical Sciences (New York) 71 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 70 Annales Henri Poincaré 69 Conformal Geometry and Dynamics 69 Groups, Geometry, and Dynamics 66 Bulletin of the Brazilian Mathematical Society. New Series 66 Science China. Mathematics 63 Stochastic Processes and their Applications 60 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 60 International Journal of Mathematics 57 Journal of Geometry and Physics 55 The Annals of Probability 54 Probability Theory and Related Fields 54 The Journal of Geometric Analysis 53 Journal of Dynamical and Control Systems 52 Bulletin of the Australian Mathematical Society 51 Acta Mathematica 47 Journal of Fixed Point Theory and Applications 46 Journal of Nonlinear Science 45 Acta Applicandae Mathematicae 44 Fractals 44 Discrete and Continuous Dynamical Systems. Series B 43 Communications in Nonlinear Science and Numerical Simulation 42 Mathematical Notes 42 Journal of Algebra 42 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 41 Journal für die Reine und Angewandte Mathematik 40 Bulletin des Sciences Mathématiques 39 Linear Algebra and its Applications 39 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 37 Rocky Mountain Journal of Mathematics 37 Fundamenta Mathematicae 36 Publications Mathématiques 36 Algebraic & Geometric Topology 35 Celestial Mechanics and Dynamical Astronomy 35 Boletim da Sociedade Brasileira de Matemática. Nova Série 33 Memoirs of the American Mathematical Society 33 SIAM Journal on Applied Dynamical Systems 33 Proceedings of the Steklov Institute of Mathematics 32 Compositio Mathematica 32 Illinois Journal of Mathematics 32 Journal of the Australian Mathematical Society 31 Studia Mathematica 31 Journal of Pure and Applied Algebra 30 Journal of Topology and Analysis 30 Arnold Mathematical Journal 29 Applied Mathematics and Computation 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Experimental Mathematics 28 Archiv der Mathematik 28 Semigroup Forum 28 Calculus of Variations and Partial Differential Equations 28 Journal de Théorie des Nombres de Bordeaux 28 Nonlinear Dynamics ...and 583 more Journals
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### Cited in 63 Fields

 10,655 Dynamical systems and ergodic theory (37-XX) 1,853 Measure and integration (28-XX) 1,180 Probability theory and stochastic processes (60-XX) 1,167 Ordinary differential equations (34-XX) 1,125 Functional analysis (46-XX) 1,111 Number theory (11-XX) 998 General topology (54-XX) 924 Differential geometry (53-XX) 862 Operator theory (47-XX) 815 Functions of a complex variable (30-XX) 762 Topological groups, Lie groups (22-XX) 734 Group theory and generalizations (20-XX) 693 Manifolds and cell complexes (57-XX) 580 Mechanics of particles and systems (70-XX) 526 Global analysis, analysis on manifolds (58-XX) 469 Several complex variables and analytic spaces (32-XX) 468 Partial differential equations (35-XX) 447 Computer science (68-XX) 426 Statistical mechanics, structure of matter (82-XX) 416 Combinatorics (05-XX) 283 Convex and discrete geometry (52-XX) 243 Abstract harmonic analysis (43-XX) 233 Quantum theory (81-XX) 214 Biology and other natural sciences (92-XX) 207 Algebraic geometry (14-XX) 205 Harmonic analysis on Euclidean spaces (42-XX) 192 Mathematical logic and foundations (03-XX) 162 Real functions (26-XX) 161 Algebraic topology (55-XX) 135 Numerical analysis (65-XX) 123 Difference and functional equations (39-XX) 106 Information and communication theory, circuits (94-XX) 105 Linear and multilinear algebra; matrix theory (15-XX) 98 Associative rings and algebras (16-XX) 96 Fluid mechanics (76-XX) 94 Systems theory; control (93-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 79 Statistics (62-XX) 76 $$K$$-theory (19-XX) 66 Geometry (51-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Nonassociative rings and algebras (17-XX) 49 Potential theory (31-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 39 History and biography (01-XX) 39 Category theory; homological algebra (18-XX) 33 General and overarching topics; collections (00-XX) 33 Optics, electromagnetic theory (78-XX) 33 Operations research, mathematical programming (90-XX) 32 Field theory and polynomials (12-XX) 32 Commutative algebra (13-XX) 28 Special functions (33-XX) 27 Sequences, series, summability (40-XX) 26 Integral transforms, operational calculus (44-XX) 24 Approximations and expansions (41-XX) 21 Mechanics of deformable solids (74-XX) 20 Relativity and gravitational theory (83-XX) 19 Geophysics (86-XX) 13 General algebraic systems (08-XX) 11 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)