## Ergodic Theory and Dynamical Systems

 Short Title: Ergodic Theory Dyn. Syst. Publisher: Cambridge University Press, Cambridge ISSN: 0143-3857; 1469-4417/e Online: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/all-issues Comments: Indexed cover-to-cover
 Documents Indexed: 3,365 Publications (since 1981) References Indexed: 2,304 Publications with 48,721 References.
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### Authors

 24 Rudolph, Daniel J. 22 Bonatti, Christian 22 Weiss, Benjamin 20 Misiurewicz, Michał 20 Urbański, Mariusz 19 Bergelson, Vitaly 18 Katok, Anatole 18 Ye, Xiangdong 17 Glasner, Eli 16 Lemańczyk, Mariusz 16 Pollicott, Mark 15 Barge, Marcy M. 14 del Junco, Andres 14 Huang, Wen 13 Bruin, Henk 13 Danilenko, Alexandre I. 13 Dooley, Anthony Haynes 13 Leibman, Alexander 13 Maass, Alejandro 13 Yorke, James Alan 13 Young, Lai-Sang 12 Buzzi, Jérôme 12 Melbourne, Ian 12 Quas, Anthony 12 Schmidt, Klaus 11 Bowen, Lewis Phylip 11 Host, Bernard 11 Hu, Huyi 11 Matsumoto, Kengo 11 Pesin, Yakov Borisovich 11 Solomyak, Boris 11 Török, Andrei 10 Aaronson, Jon 10 Assani, Idris 10 Block, Louis Stuart 10 Blokh, Alexander M. 10 Dani, Shrikrishna Gopalrao 10 Downarowicz, Tomasz 10 Einsiedler, Manfred Leopold 10 Kamae, Teturo 10 Kitchens, Bruce P. 10 Pavlov, Ronnie 10 Rosenblatt, Joseph Max 9 Boyle, Mike 9 Fornæss, John Erik 9 Fried, David 9 Gambaudo, Jean-Marc 9 Golodets, Valentin Yakovlevich 9 Hasselblatt, Boris 9 Haydn, Nicolai T. A. 9 Jenkinson, Oliver 9 Jones, Roger L. 9 Keller, Gerhard 9 Nicol, Matthew 9 Nitecki, Zbigniew H. 9 Nogueira, Arnaldo C. R. 9 Oprocha, Piotr 9 Pacifico, Maria José 9 Parry, William 9 Pujals, Enrique Ramiro 9 Rams, Michał 9 Varandas, Paulo 8 Burns, Keith 8 Coven, Ethan M. 8 de la Llave, Rafael 8 de Rezende, Ketty Abaroa 8 Díaz, Lorenzo Justiniano 8 Fayad, Bassam R. 8 Feldman, Jacob 8 Forni, Giovanni 8 Franks, John M. 8 Góra, Paweł 8 Homburg, Ale Jan 8 Kifer, Yuri 8 Kwapisz, Jaroslaw 8 Lopes, Artur Oscar 8 Niţică, Viorel 8 Pivato, Marcus 8 Raeburn, Iain 8 Sadun, Lorenzo A. 8 Świątek, Grzegorz 8 Thomsen, Klaus E. 8 Tuncel, Selim 8 Vaienti, Sandro 8 Ward, Thomas B. 8 Yassawi, Reem 8 Yuri, Michiko 7 Auslander, Joseph 7 Baladi, Viviane 7 Barreira, Luis Manuel 7 Collet, Pierre 7 Devaney, Robert L. 7 Dolgopyat, Dmitry 7 Fiebig, Doris 7 Fiebig, Ulf-Rainer 7 Hamenstädt, Ursula 7 Hochman, Michael 7 Hurder, Steven E. 7 Hurley, Mike 7 Katok, Svetlana R. ...and 2,690 more Authors
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### Fields

 2,912 Dynamical systems and ergodic theory (37-XX) 527 Measure and integration (28-XX) 273 General topology (54-XX) 193 Differential geometry (53-XX) 190 Topological groups, Lie groups (22-XX) 169 Functional analysis (46-XX) 169 Probability theory and stochastic processes (60-XX) 155 Manifolds and cell complexes (57-XX) 140 Number theory (11-XX) 127 Functions of a complex variable (30-XX) 108 Operator theory (47-XX) 90 Group theory and generalizations (20-XX) 90 Global analysis, analysis on manifolds (58-XX) 79 Ordinary differential equations (34-XX) 70 Several complex variables and analytic spaces (32-XX) 57 Mechanics of particles and systems (70-XX) 45 Combinatorics (05-XX) 41 Computer science (68-XX) 32 Partial differential equations (35-XX) 30 Abstract harmonic analysis (43-XX) 29 Convex and discrete geometry (52-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Algebraic geometry (14-XX) 19 Algebraic topology (55-XX) 17 $$K$$-theory (19-XX) 15 History and biography (01-XX) 15 Mathematical logic and foundations (03-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Real functions (26-XX) 14 Difference and functional equations (39-XX) 11 Quantum theory (81-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 7 Geometry (51-XX) 7 Information and communication theory, circuits (94-XX) 6 General algebraic systems (08-XX) 6 Statistics (62-XX) 6 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Potential theory (31-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

2,903 Publications have been cited 31,382 times in 16,301 Documents Cited by Year
Dimension, entropy and Lyapunov exponents. Zbl 0523.58024
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
Dynamics of self-similar tilings. Zbl 0884.58062
Solomyak, Boris
1997
Hypercyclic and chaotic semigroups of linear operators. Zbl 0910.47033
Desch, Wolfgang; Schappacher, Wilhelm; Webb, Glenn F.
1997
Dynamical properties of plane polynomial automorphisms. Zbl 0651.58027
Friedland, Shmuel; Milnor, John
1989
Compact metric spaces, Fredholm modules, and hyperfiniteness. Zbl 0718.46051
Connes, A.
1989
The $$C^ 1$$ closing lemma, including Hamiltonians. Zbl 0548.58012
Pugh, Charles C.; Robinson, Clark
1983
Topological invariants for substitution tilings and their associated $$C^*$$-algebras. Zbl 1053.46520
Anderson, Jared E.; Putnam, Ian F.
1998
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
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
Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Zbl 1080.37003
Leibman, A.
2005
Symbolic dynamics for $$\beta$$-shifts and self-normal numbers. Zbl 0908.58017
Schmeling, Jörg
1997
Oscillation in ergodic theory. Zbl 0924.28009
Jones, Roger L.; Kaufman, Robert; Rosenblatt, Joseph M.; Wierdl, Máté
1998
On the topological entropy of saturated sets. Zbl 1130.37329
Pfister, C.-E.; Sullivan, W. G.
2007
Symétrie et forme normale des centres et foyers dégénérés. Zbl 0509.34027
Moussu, Robert
1982
Weakly mixing PET. Zbl 0645.28012
Bergelson, V.
1987
A proof of the estimation from below in Pesin’s entropy formula. Zbl 0533.58022
Ledrappier, François; Strelcyn, Jean-Marie
1982
Dynamical systems, shape theory and the Conley index. Zbl 0682.58040
Robbin, Joel W.; Salamon, Dietmar
1988
A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042
Barreira, Luis M.
1996
The entropies of topological Markov shifts and a related class of algebraic integers. Zbl 0546.58035
Lind, D. A.
1984
Languages, equicontinuity and attractors in cellular automata. Zbl 0876.68075
Kůrka, Petr
1997
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
1989
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
1984
Norm convergence of multiple ergodic averages for commuting transformations. Zbl 1181.37004
Tao, Terence
2008
Hausdorff dimension for horseshoes. Zbl 0529.58022
McCluskey, Heather; Manning, Anthony
1983
Asymptotic formulas on flat surfaces. Zbl 1096.37501
Eskin, Alex; Masur, Howard
2001
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
2004
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien
2000
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
1982
Geometry of the Katok examples. Zbl 0559.58027
Ziller, Wolfgang
1983
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
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
Invariant families of cones and Lyapunov exponents. Zbl 0578.58033
Wojtkowski, Maciej
1985
Repetitive Delone sets and quasicrystals. Zbl 1062.52021
Lagarias, Jeffrey C.; Pleasants, Peter A. B.
2003
An ergodic theorem for iterated maps. Zbl 0621.60039
Elton, John H.
1987
Local analytic integrability for nilpotent centers. Zbl 1037.34025
Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume
2003
Frequently hypercyclic operators and vectors. Zbl 1119.47011
Bonilla, A.; Grosse-Erdmann, K.-G.
2007
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
Amenability, Kazhdan’s property T, strong ergodicity and invariant means for ergodic group-actions. Zbl 0485.28019
Schmidt, Klaus
1981
Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Zbl 1037.37005
Buzzi, Jérôme; Sarig, Omri
2003
Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019
Collet, P.
2001
Croissance des boules et des geodesiques fermées dans les nilvarietes. Zbl 0509.53040
Pansu, Pierre
1983
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
2015
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
1988
The singularity spectrum f($$\alpha$$ ) for cookie-cutters. Zbl 0664.58022
Rand, D. A.
1989
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
1983
Ergodic fractal measures and dimension conservation. Zbl 1154.37322
Furstenberg, Hillel
2008
Sectional-hyperbolic systems. Zbl 1165.37010
Metzger, R.; Morales, C.
2008
On ergodic actions whose self-joinings are graphs. Zbl 0646.60010
Del Junco, A.; Rudolph, D.
1987
The gradient structure of a flow. I. Zbl 0687.58033
Conley, C.
1988
Approximation by Brownian motion for Gibbs measures and flows under a function. Zbl 0554.60077
Denker, Manfred; Philipp, Walter
1984
Large deviations in non-uniformly hyperbolic dynamical systems. Zbl 1154.37331
Rey-Bellet, Luc; Young, Lai-Sang
2008
A finiteness theorem for a dynamical class of entire functions. Zbl 0657.58011
Goldberg, Lisa R.; Keen, Linda
1986
Proof of ‘Arnold’s theorem’ on the stability of a planetary system (following Herman). (Démonstration du ‘théorème d’arnold’ sur la stabilité du système planétaire (d’après Herman).) Zbl 1087.37506
Féjoz, Jacques
2004
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
2000
Poisson law for Axiom A diffeomorphism. Zbl 0828.58026
Hirata, Masaki
1993
Constructions in elliptic dynamics. Zbl 1089.37012
2004
Mean equicontinuity and mean sensitivity. Zbl 1356.37016
Li, Jian; Tu, Siming; Ye, Xiangdong
2015
Invariant measures for higher-rank hyperbolic abelian actions. Zbl 0859.58021
Katok, A.; Spatzier, R. J.
1996
On iterates of $$e^ z$$. Zbl 0466.30019
Misiurewicz, Michal
1981
Decay of correlations for piecewise smooth maps with indifferent fixed points. Zbl 1071.37026
Hu, Huyi
2004
Entropy and closed geodesics. Zbl 0525.58027
Katok, A.
1982
Commutators and diffeomorphisms of surfaces. Zbl 1088.37018
Gambaudo, Jean-Marc; Ghys, Étienne
2004
Resonance between Cantor sets. Zbl 1159.37005
Peres, Yuval; Shmerkin, Pablo
2009
Poisson limit law for Markov chains. Zbl 0753.60058
Pitskel, B.
1991
Entropy and volume. Zbl 0638.58016
Newhouse, Sheldon E.
1988
Topological entropy for divergence points. Zbl 1098.37013
Ercai, Chen; Küpper, Tassilo; Lin, Shu
2005
$$\times 2$$ and $$\times 3$$ invariant measures and entropy. Zbl 0709.28013
Rudolph, Daniel J.
1990
Schrödinger operators with dynamically defined potentials. Zbl 06823048
Damanik, David
2017
The Lyapunov dimension of a nowhere differentiable attracting torus. Zbl 0558.58018
Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
1984
Regular periodic decompositions for topologically transitive maps. Zbl 0921.54029
Banks, John
1997
Null systems and sequence entropy pairs. Zbl 1134.37308
Huang, W.; Li, S. M.; Shao, S.; Ye, X. D.
2003
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
2007
On dynamics of triangular maps of the square. Zbl 0784.58038
1992
Measures of full dimension on affine-invariant sets. Zbl 0851.58028
Kenyon, R.; Peres, Y.
1996
Prevalence of rapid mixing in hyperbolic flows. Zbl 0918.58058
Dolgopyat, Dmitry
1998
A new look at the crossed-product of a $$C^ *$$-algebra by an endomorphism. Zbl 1059.46050
Exel, Ruy
2003
Automorphisms of compact groups. Zbl 0709.54023
Kitchens, Bruce; Schmidt, Klaus
1989
An ideal-valued cohomological index theory with applications to Borsuk- Ulam and Bourgin-Yang theorems. Zbl 0657.55002
1988
Existence of invariant tori in volume-preserving diffeomorphisms. Zbl 0768.58042
Xia, Zhihong
1992
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
1992
Coherent structures and isolated spectrum for Perron-Frobenius cocycles. Zbl 1205.37015
Froyland, Gary; Lloyd, Simon; Quas, Anthony
2010
SRB measures as zero-noise limits. Zbl 1098.37020
Cowieson, William; Young, Lai-Sang
2005
The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Zbl 0495.58008
Wilson, George
1981
Adapted metrics for dominated splittings. Zbl 1127.37031
Gourmelon, Nikolaz
2007
Rigidity in topological dynamics. Zbl 0661.58027
Glasner, S.; Maon, D.
1989
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
1986
There are no deviations for the ergodic averages of Giulietti-Liverani horocycle flows on the two-torus. Zbl 1487.37005
2022
Arithmeticity of hyperbolic $$3$$-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017
2022
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits. Zbl 07543036
Kim, Joontae; Kim, Seongchan; Kwon, Myeonggi
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
Geodesic planes in geometrically finite acylindrical 3-manifolds. Zbl 1485.37005
Benoist, Yves; Oh, Hee
2022
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. Zbl 1491.37031
Forni, Giovanni
2022
Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli. Zbl 1496.37001
Gerber, Marlies; Kunde, Philipp
2022
Entropies and volume growth of unstable manifolds. Zbl 1492.37031
Zang, Yuntao
2022
A piecewise smooth Fermi-Ulam pingpong with potential. Zbl 07543040
Zhou, Jing
2022
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. Zbl 07554507
Bahsoun, Wael; Liverani, Carlangelo
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
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
Flexibility of Lyapunov exponents. Zbl 1495.37024
Bochi, J.; Katok, A.; Rodriguez Hertz, F.
2022
Flexibility of Lyapunov exponents with respect to two classes of measures on the torus. Zbl 1495.37031
Erchenko, Alena
2022
Almost existence from the feral perspective and some questions. Zbl 1487.32154
Fish, Joel W.; Hofer, Helmut H. W.
2022
Accessibility and centralizers for partially hyperbolic flows. Zbl 07469296
Fisher, Todd; Hasselblatt, Boris
2022
Homoclinic orbits for area preserving diffeomorphisms of surfaces. Zbl 1494.37025
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 1497.37039
Veconi, Dominic
2022
Non-dense orbits on homogeneous spaces and applications to geometry and number theory. Zbl 1500.37001
An, Jinpeng; Guan, Lifan; Kleinbock, Dmitry
2022
Generic non-singular Poisson suspension is of type $$\mathrm{III}_1$$. Zbl 07488210
Danilenko, Alexandre I.; Kosloff, Zemer; Roy, Emmanuel
2022
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions. Zbl 07543033
Danilenko, Alexandre I.; Lemańczyk, Mariusz
2022
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra. II. Zbl 1500.37034
Cerqueira, Aline; Moreira, Carlos G.; Romaña, Sergio
2022
Local limit theorems in relatively hyperbolic groups. I: Rough estimates. Zbl 1493.60057
Dussaule, Matthieu
2022
Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts. Zbl 07543352
Jun, Hyunkyu
2022
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups. Zbl 07543353
Levit, Arie; Lubotzky, Alexander
2022
Pointwise convergence of certain continuous-time double ergodic averages. Zbl 1500.37004
Christ, Michael; Durcik, Polona; Kovač, Vjekoslav; Roos, Joris
2022
Ahlfors regularity and fractal dimension of Smale spaces. Zbl 1500.37020
Gerontogiannis, Dimitris Michail
2022
Partially hyperbolic diffeomorphisms and Lagrangian contact structures. Zbl 07554514
Mion-Mouton, Martin
2022
Homology and $$K$$-theory of dynamical systems. I: Torsion-free ample groupoids. Zbl 1492.19005
Proietti, Valerio; Yamashita, Makoto
2022
Dynamics of hyperbolic correspondences. Zbl 1502.37054
Siqueira, Carlos
2022
On the automorphism group of minimal $$\mathcal{S}$$-adic subshifts of finite alphabet rank. Zbl 07568743
Espinoza, Bastián; Maass, Alejandro
2022
Multiplicative constants and maximal measurable cocycles in bounded cohomology. Zbl 07624344
Moraschini, M.; Savini, A.
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
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
Topological entropy of Markov set-valued functions. Zbl 1455.37014
Alvin, Lori; Kelly, James P.
2021
Rokhlin dimension: duality, tracial properties, and crossed products. Zbl 1458.46054
Gardella, Eusebio; Hirshberg, Ilan; Santiago, Luis
2021
On preimage entropy, folding entropy and stable entropy. Zbl 1461.37037
Wu, Weisheng; Zhu, Yujun
2021
Big mapping class groups and rigidity of the simple circle. Zbl 1470.37066
Calegari, Danny; Chen, Lvzhou
2021
Eventually dendric shift spaces. Zbl 1470.37023
Dolce, Francesco; Perrin, Dominique
2021
Free minimal actions of countable groups with invariant probability measures. Zbl 1469.46064
Elek, Gábor
2021
Limit theorems for some skew products with mixing base maps. Zbl 1475.60052
Hafouta, Yeor
2021
Pure point spectrum for the Maryland model: a constructive proof. Zbl 1456.37053
Jitomirskaya, Svetlana; Yang, Fan
2021
On the rotation sets of generic homeomorphisms on the torus $$\mathbb{T}^d$$. Zbl 1479.37040
Lima, Heides; Varandas, Paulo
2021
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms. Zbl 1481.37033
Hu, Huyi; Wu, Weisheng; Zhu, Yujun
2021
Open problems and questions about geodesics. Zbl 1486.53003
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
Maximally highly proximal flows. Zbl 1480.37021
Zucker, Andy
2021
Relative bifurcation sets and the local dimension of univoque bases. Zbl 1475.11014
Allaart, Pieter; Kong, Derong
2021
Extremality and dynamically defined measures. II: Measures from conformal dynamical systems. Zbl 1469.11234
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz
2021
Type classification of extreme quantized characters. Zbl 1482.46088
Sato, Ryosuke
2021
Commuting rational functions revisited. Zbl 1461.30059
Pakovich, Fedor
2021
Limit group invariants for non-free Cantor actions. Zbl 1475.37007
Hurder, Steven; Lukina, Olga
2021
Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048
Zhang, Dongfeng; Xu, Junxiang
2021
Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability. Zbl 1481.37029
Araujo, Vitor
2021
Markov chains with exponential return times are finitary. Zbl 1472.60116
Angel, Omer; Spinka, Yinon
2021
$$L^q$$-spectra of measures on planar non-conformal attractors. Zbl 1482.28010
Falconer, Kenneth J.; Fraser, Jonathan M.; Lee, Lawrence D.
2021
The Ellis semigroup of certain constant-length substitutions. Zbl 1487.37015
Staynova, Petra
2021
On the fixed points of the Ruelle operator. Zbl 07317320
Cabrera, Carlos; Makienko, Peter
2021
A note on the topology of escaping endpoints. Zbl 07317324
Lipham, David S.
2021
Non-triviality of the Poisson boundary of random walks on the group $$H(\mathbb{Z})$$ of Monod. Zbl 1458.60015
Stankov, Bogdan
2021
Combinatorial independence and naive entropy. Zbl 1476.37021
Li, Hanfeng; Rong, Zhen
2021
A generalized type semigroup and dynamical comparison. Zbl 1469.37009
Ma, Xin
2021
On the virtual automorphism group of a minimal flow. Zbl 1461.37014
Auslander, Joseph; Glasner, Eli
2021
Cut and project sets with polytopal window. I: Complexity. Zbl 07301405
Koivusalo, Henna; Walton, James J.
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 intrinsic and extrinsic rational approximation to Cantor sets. Zbl 1472.11205
Schleischitz, Johannes
2021
Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts. Zbl 07371040
Chung, Nhan-Phu; Jiang, Yongle
2021
Symbolic dynamics in mean dimension theory. Zbl 1479.37017
Shinoda, Mao; Tsukamoto, Masaki
2021
Entropy of transcendental entire functions. Zbl 1459.37032
Benini, Anna Miriam; Fornæss, John Erik; Peters, Han
2021
Distributional chaos in multifractal analysis, recurrence and transitivity. Zbl 1455.37009
Chen, An; Tian, Xueting
2021
Thermodynamic formalism for Haar systems in noncommutative integration: transverse functions and entropy of transverse measures. Zbl 1469.37023
Lopes, Artur O.; Mengue, Jairo K.
2021
Limits of geodesic push-forwards of horocycle invariant measures. Zbl 1490.37006
Forni, Giovanni
2021
Krieger’s finite generator theorem for actions of countable groups. III. Zbl 1480.37013
Alpeev, Andrei; Seward, Brandon
2021
The Assouad spectrum of random self-affine carpets. Zbl 1479.28005
Fraser, Jonathan M.; Troscheit, Sascha
2021
Sarnak’s conjecture for sequences of almost quadratic word growth. Zbl 1480.37014
McNamara, Redmond
2021
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms. Zbl 1485.37028
Barthelmé, Thomas; Fenley, Sergio R.; Frankel, Steven; Potrie, Rafael
2021
Computable Følner monotilings and a theorem of Brudno. Zbl 1486.37009
Moriakov, Nikita
2021
Sobolev regularity of solutions of the cohomological equation. Zbl 07454640
Forni, Giovanni
2021
A family of minimal and renormalizable rectangle exchange maps. Zbl 1493.37049
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
Statistical properties for compositions of standard maps with increasing coefficient. Zbl 1461.37012
Blumenthal, Alex
2021
On slow escaping and non-escaping points of quasimeromorphic mappings. Zbl 1467.37042
Warren, Luke
2021
Lower bound for the Perron-Frobenius degrees of Perron numbers. Zbl 1464.37004
Yazdi, Mehdi
2021
Maximizing Bernoulli measures and dimension gaps for countable branched systems. Zbl 1469.11251
Baker, Simon; Jurga, Natalia
2021
A spectral decomposition of the attractor of piecewise-contracting maps of the interval. Zbl 1469.37030
Calderon, Alfredo; Catsigeras, Eleonora; Guiraud, Pierre
2021
Transfer operators for ultradifferentiable expanding maps of the circle. Zbl 1469.37017
Jézéquel, Malo
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
2021
Amenable uniformly recurrent subgroups and lattice embeddings. Zbl 1485.22009
2021
Bernoulli decomposition and arithmetical independence between sequences. Zbl 1459.11150
Yu, Han
2021
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### Cited by 10,204 Authors

 79 Llibre, Jaume 71 Urbański, Mariusz 60 Pollicott, Mark 55 Ye, Xiangdong 54 Huang, Wen 53 Oprocha, Piotr 52 Melbourne, Ian 52 Varandas, Paulo 48 Bruin, Henk 48 Lopes, Artur Oscar 47 Barreira, Luis Manuel 47 Vaienti, Sandro 46 de la Llave, Rafael 46 Lee, Manseob 44 Giné, Jaume 43 Avila, Artur 43 Bergelson, Vitaly 43 Chen, Ercai 43 Damanik, David 43 Morales, Carlos Arnoldo 43 Valls Anglés, Cláudia 42 Blokh, Alexander M. 42 Bonatti, Christian 42 Rams, Michał 41 Lemańczyk, Mariusz 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 33 Solomyak, Boris 32 Bowen, Lewis Phylip 32 Xu, Junxiang 31 Dolgopyat, Dmitry 31 Jørgensen, Palle E. T. 31 Peris, Alfredo 30 Cao, Yongluo 30 Fraser, Jonathan MacDonald 30 Gelfert, Katrin Grit 30 Gentile, Guido 30 Pesin, Yakov Borisovich 29 Crovisier, Sylvain 29 Díaz, Lorenzo Justiniano 29 Dragičević, Davor 29 Misiurewicz, Michał 29 Mukhamedov, Farruh Maksutovich 29 Todd, Mike 28 Araújo, Vítor 28 Downarowicz, Tomasz 28 Galatolo, Stefano 28 Oertel-Jäger, Tobias Hendrik 28 Li, Jian 28 Lindenstrauss, Elon 28 Mischaikow, Konstantin 28 Pacifico, Maria José 28 Quas, Anthony 28 Schmidt, Klaus 28 Sharp, Richard W. 27 Ban, Jungchao 27 Danilenko, Alexandre I. 27 Devaney, Robert L. 27 Kesseböhmer, Marc 27 Kifer, Yuri 27 Oversteegen, Lex G. 27 van Strien, Sebastian J. 27 Viana, Marcelo 26 Alsedà, Lluís 26 Baladi, Viviane 26 Boyle, Mike 26 Einsiedler, Manfred Leopold 26 García, Cristóbal 26 Haydn, Nicolai T. A. 26 Ioana, Adrian 26 Jamilov, Uygun U. 26 Kra, Bryna 26 Lyubich, Mikhail 26 Morris, Ian D. 26 Nicol, Matthew 26 Popa, Sorin Teodor 26 Sun, Taixiang 26 Weiss, Benjamin 26 Zhao, Yun 25 Berthé, Valérie 25 Fayad, Bassam R. 25 Feng, De-Jun 25 Frantzikinakis, Nikos 25 Froyland, Gary 25 Hubert, Pascal 25 Katok, Anatole 25 Keller, Gerhard 25 Liverani, Carlangelo 25 Maass, Alejandro 25 Paternain, Gabriel Pedro 25 Potrie, Rafael 24 Akiyama, Shigeki 24 Alves, José Ferreira 24 Artigue, Alfonso ...and 10,104 more Authors
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### Cited in 695 Journals

 1,202 Ergodic Theory and Dynamical Systems 578 Transactions of the American Mathematical Society 503 Proceedings of the American Mathematical Society 476 Israel Journal of Mathematics 473 Communications in Mathematical Physics 429 Discrete and Continuous Dynamical Systems 417 Journal of Mathematical Analysis and Applications 391 Journal of Differential Equations 344 Advances in Mathematics 300 Topology and its Applications 278 Journal of Statistical Physics 252 Journal of Functional Analysis 238 Inventiones Mathematicae 230 Dynamical Systems 228 Physica D 215 Nonlinearity 194 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 191 Mathematische Zeitschrift 171 Chaos, Solitons and Fractals 164 Annales de l’Institut Fourier 160 Journal d’Analyse Mathématique 159 Journal of Dynamics and Differential Equations 152 Chaos 151 Monatshefte für Mathematik 145 Duke Mathematical Journal 141 Geometriae Dedicata 141 Qualitative Theory of Dynamical Systems 137 Theoretical Computer Science 127 Journal of Modern Dynamics 126 Mathematische Annalen 119 Journal of Difference Equations and Applications 116 Stochastics and Dynamics 112 Geometric and Functional Analysis. GAFA 109 Journal of Mathematical Physics 105 Comptes Rendus. Mathématique. Académie des Sciences, Paris 94 Acta Mathematica Sinica. English Series 90 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 89 Annals of Mathematics. Second Series 88 Geometry & Topology 84 Journal of the European Mathematical Society (JEMS) 83 Indagationes Mathematicae. New Series 79 Mathematical Proceedings of the Cambridge Philosophical Society 78 Bulletin of the American Mathematical Society. New Series 76 Journal of Number Theory 75 Journal of the American Mathematical Society 75 Conformal Geometry and Dynamics 74 Journal of Mathematical Sciences (New York) 74 Regular and Chaotic Dynamics 73 Annales Henri Poincaré 72 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 69 Groups, Geometry, and Dynamics 68 Bulletin of the Brazilian Mathematical Society. New Series 67 Science China. Mathematics 64 Stochastic Processes and their Applications 62 International Journal of Mathematics 60 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 58 Journal of Geometry and Physics 55 The Annals of Probability 55 Probability Theory and Related Fields 55 The Journal of Geometric Analysis 55 Journal of Dynamical and Control Systems 52 Bulletin of the Australian Mathematical Society 51 Acta Mathematica 48 Bulletin de la Société Mathématique de France 47 Discrete and Continuous Dynamical Systems. Series B 47 Journal of Fixed Point Theory and Applications 46 Journal of Nonlinear Science 45 Acta Applicandae Mathematicae 44 Journal of Algebra 44 Journal für die Reine und Angewandte Mathematik 44 Fractals 44 Communications in Nonlinear Science and Numerical Simulation 43 Mathematical Notes 43 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 43 Algebraic & Geometric Topology 41 Linear Algebra and its Applications 40 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 40 Bulletin des Sciences Mathématiques 38 Fundamenta Mathematicae 37 Rocky Mountain Journal of Mathematics 37 Memoirs of the American Mathematical Society 36 Publications Mathématiques 36 Celestial Mechanics and Dynamical Astronomy 35 Compositio Mathematica 35 Boletim da Sociedade Brasileira de Matemática. Nova Série 33 SIAM Journal on Applied Dynamical Systems 33 Proceedings of the Steklov Institute of Mathematics 32 Studia Mathematica 32 Illinois Journal of Mathematics 32 Journal of Pure and Applied Algebra 32 Journal of the Australian Mathematical Society 31 Experimental Mathematics 31 Calculus of Variations and Partial Differential Equations 31 Arnold Mathematical Journal 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Journal of Topology and Analysis 29 Applied Mathematics and Computation 29 Archiv der Mathematik 29 Journal de Théorie des Nombres de Bordeaux 28 Semigroup Forum ...and 595 more Journals
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### Cited in 62 Fields

 10,942 Dynamical systems and ergodic theory (37-XX) 1,902 Measure and integration (28-XX) 1,222 Probability theory and stochastic processes (60-XX) 1,176 Ordinary differential equations (34-XX) 1,155 Functional analysis (46-XX) 1,152 Number theory (11-XX) 1,011 General topology (54-XX) 953 Differential geometry (53-XX) 894 Operator theory (47-XX) 827 Functions of a complex variable (30-XX) 802 Topological groups, Lie groups (22-XX) 781 Group theory and generalizations (20-XX) 729 Manifolds and cell complexes (57-XX) 595 Mechanics of particles and systems (70-XX) 546 Global analysis, analysis on manifolds (58-XX) 489 Partial differential equations (35-XX) 483 Several complex variables and analytic spaces (32-XX) 466 Computer science (68-XX) 443 Combinatorics (05-XX) 428 Statistical mechanics, structure of matter (82-XX) 294 Convex and discrete geometry (52-XX) 248 Abstract harmonic analysis (43-XX) 247 Quantum theory (81-XX) 221 Algebraic geometry (14-XX) 217 Biology and other natural sciences (92-XX) 214 Harmonic analysis on Euclidean spaces (42-XX) 198 Mathematical logic and foundations (03-XX) 167 Algebraic topology (55-XX) 163 Real functions (26-XX) 132 Difference and functional equations (39-XX) 132 Numerical analysis (65-XX) 116 Information and communication theory, circuits (94-XX) 111 Linear and multilinear algebra; matrix theory (15-XX) 101 Associative rings and algebras (16-XX) 98 Fluid mechanics (76-XX) 96 Systems theory; control (93-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 81 $$K$$-theory (19-XX) 80 Statistics (62-XX) 72 Geometry (51-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Nonassociative rings and algebras (17-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 49 Potential theory (31-XX) 43 Category theory; homological algebra (18-XX) 39 General and overarching topics; collections (00-XX) 39 History and biography (01-XX) 35 Optics, electromagnetic theory (78-XX) 34 Field theory and polynomials (12-XX) 33 Operations research, mathematical programming (90-XX) 32 Commutative algebra (13-XX) 28 Sequences, series, summability (40-XX) 27 Special functions (33-XX) 27 Integral transforms, operational calculus (44-XX) 23 Approximations and expansions (41-XX) 22 Relativity and gravitational theory (83-XX) 20 Mechanics of deformable solids (74-XX) 19 Geophysics (86-XX) 15 General algebraic systems (08-XX) 12 Integral equations (45-XX) 10 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX)