Ergodic Theory and Dynamical Systems

Papers
(The median citation count of Ergodic Theory and Dynamical Systems is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
On the rotation sets of generic homeomorphisms on the torus11
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms10
Generic homeomorphisms have full metric mean dimension9
The number of ergodic measures for transitive subshifts under the regular bispecial condition8
Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves8
Dimension estimates for iterated function systems and repellers. Part II8
Eventually dendric shift spaces7
Relative bifurcation sets and the local dimension of univoque bases7
Generic non-singular Poisson suspension is of type III17
Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability6
On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras6
Large deviations and central limit theorems for sequential and random systems of intermittent maps6
Dynamical Borel–Cantelli lemma for recurrence theory6
Chaotic behavior of the p-adic Potts–Bethe mapping II5
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions5
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits5
On images of subshifts under embeddings of symbolic varieties5
Flexibility of Lyapunov exponents5
An uncountable Moore–Schmidt theorem5
Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems5
A piecewise smooth Fermi–Ulam pingpong with potential5
Statistical stability and linear response for random hyperbolic dynamics5
Dynamics of compact quantum metric spaces5
An ergodic system is dominant exactly when it has positive entropy5
Maximally highly proximal flows5
On -genericity of distributional chaos4
Homology andK-theory of dynamical systems I. Torsion-free ample groupoids4
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces4
Geodesic stretch, pressure metric and marked length spectrum rigidity4
Entropies and volume growth of unstable manifolds4
There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus4
Arithmeticity of hyperbolic -manifolds containing infinitely many totally geodesic surfaces4
Sequence entropy tuples and mean sensitive tuples4
Anatole Katok4
Packing topological entropy for amenable group actions4
Homoclinic orbits for area preserving diffeomorphisms of surfaces4
Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set4
S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps4
Big mapping class groups and rigidity of the simple circle4
Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity4
Geodesic planes in geometrically finite acylindrical -manifolds4
Orbifold expansion and entire functions with bounded Fatou components4
Recognizability of morphisms4
A dichotomy for bounded displacement equivalence of Delone sets4
Primitive rational points on expanding horocycles in products of the modular surface with the torus4
A spectral decomposition of the attractor of piecewise-contracting maps of the interval4
Symbolic dynamics in mean dimension theory4
Zero entropy and stable rotation sets for monotone recurrence relations4
Invariant densities for random systems of the interval4
An uncountable Furstenberg–Zimmer structure theory4
Dynamics of Newton maps4
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers3
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups3
Dynamical behavior of alternate base expansions3
New examples of Bernoulli algebraic actions3
Local limit theorems in relatively hyperbolic groups I: rough estimates3
The Cuntz semigroup and the radius of comparison of the crossed product by a finite group3
The type semigroup, comparison, and almost finiteness for ample groupoids3
Strongly aperiodic subshifts of finite type on hyperbolic groups3
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms3
Zero entropy actions of amenable groups are not dominant3
Measure-theoretically mixing subshifts with low complexity3
Realization of analytic moduli for parabolic Dulac germs3
Directed harmonic currents near non-hyperbolic linearizable singularities3
Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups3
The bifurcation locus for numbers of bounded type3
Garden of Eden and weakly periodic points for certain expansive actions of groups3
On the automorphism group of minimal -adic subshifts of finite alphabet rank3
On invariant subalgebras of group and von Neumann algebras3
Subsystems of transitive subshifts with linear complexity3
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations3
Non-dense orbits on homogeneous spaces and applications to geometry and number theory3
On Polish groups admitting non-essentially countable actions3
The ideal structures of self-similar -graph C*-algebras3
Smoothness of stable holonomies inside center-stable manifolds3
-spectra of measures on planar non-conformal attractors3
Limits of geodesic push-forwards of horocycle invariant measures3
Local finiteness and automorphism groups of low complexity subshifts3
Steady Euler flows and Beltrami fields in high dimensions3
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups3
A variational principle for the metric mean dimension of free semigroup actions3
Non-uniform ergodic properties of Hamiltonian flows with impacts3
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra II2
Mean equicontinuity and mean sensitivity on cellular automata2
Quasisymmetric orbit-flexibility of multicritical circle maps2
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension2
Ahlfors regularity and fractal dimension of Smale spaces2
Glider automata on all transitive sofic shifts2
Value distribution of derivatives in polynomial dynamics2
Symbolic dynamics for non-uniformly hyperbolic systems2
Periodic points of post-critically algebraic holomorphic endomorphisms2
Bowen–Walters expansiveness for semigroups of linear operators2
Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence2
Continuum of allosteric actions for non-amenable surface groups2
On arithmetic progressions in non-periodic self-affine tilings2
Dimension approximation in smooth dynamical systems2
Spread out random walks on homogeneous spaces2
Minimal flows with arbitrary centralizer2
Examples of exponentially many collisions in a hard ball system2
Non-existence of sublinear diffusion for a class of torus homeomorphisms2
Minimally critical regular endomorphisms of2
Centralizers of derived-from-Anosov systems on : rigidity versus triviality2
On equicontinuous factors of flows on locally path-connected compact spaces2
Symbolic factors of -adic subshifts of finite alphabet rank2
Combinatorial independence and naive entropy2
Uniformly positive entropy of induced transformations2
Pseudorotations of the -disc and Reeb flows on the -sphere2
Decompositions and measures on countable Borel equivalence relations2
Anosov flows on -manifolds: the surgeries and the foliations2
Classification of partially hyperbolic diffeomorphisms under some rigid conditions2
Flows, growth rates, and the veering polynomial2
Asymptotic scaling and universality for skew products with factors in SL(2,)2
Thermodynamics of smooth models of pseudo–Anosov homeomorphisms2
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups2
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids2
-adic characterization of minimal ternary dendric shifts2
Sarnak’s conjecture for sequences of almost quadratic word growth2
Amenable dynamical systems over locally compact groups2
Conjugacy of local homeomorphisms via groupoids and C*-algebras2
A category-theoretic proof of the ergodic decomposition theorem2
Multiplicative constants and maximal measurable cocycles in bounded cohomology2
The K-property for some unique equilibrium states in flows and homeomorphisms2
The mapping class group action on -character varieties2
Divergent trajectories in arithmetic homogeneous spaces of rational rank two2
Iterative square roots of functions2
Krieger’s finite generator theorem for actions of countable groups III2
The geometric index and attractors of homeomorphisms of2
The scenery flow of self-similar measures with weak separation condition2
Number-theoretic positive entropy shifts with small centralizer and large normalizer2
Chaos and frequent hypercyclicity for weighted shifts2
On higher-order Fourier analysis in characteristic p2
Conditional mixing in deterministic chaos2
Pointwise convergence of certain continuous-time double ergodic averages2
Total disconnectedness of Julia sets of random quadratic polynomials2
The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms2
Host–Kra theory for -systems and multiple recurrence2
Dendrites and measures with discrete spectrum2
Markov chains with exponential return times are finitary2
New approach to weighted topological entropy and pressure2
A non-Borel special alpha-limit set in the square2
Some remarks on oscillation inequalities2
Generic chaos on dendrites2
Random Young towers and quenched limit laws2
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles2
Almost blenders and parablenders2
Reeb orbits that force topological entropy2
Inverse problems and rigidity questions in billiard dynamics1
On the accumulation of separatrices by invariant circles1
Periodic expansion of one by Salem numbers1
On the abundance of k-fold semi-monotone minimal sets in bimodal circle maps1
-invariants for planar two-center Stark–Zeeman systems1
KMS states on the crossed product -algebra of a homeomorphism1
Gaps of saddle connection directions for some branched covers of tori1
Effective equidistribution for generalized higher-step nilflows1
Smooth models for certain fibered partially hyperbolic systems1
Partial C*-dynamics and Rokhlin dimension1
Partially hyperbolic diffeomorphisms and Lagrangian contact structures1
Closures of locally divergent orbits of maximal tori and values of homogeneous forms1
The essential coexistence phenomenon in Hamiltonian dynamics1
Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts1
Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli1
Computable Følner monotilings and a theorem of Brudno1
Almost existence from the feral perspective and some questions1
Accessibility and centralizers for partially hyperbolic flows1
On topological rank of factors of Cantor minimal systems1
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape1
Invariant sets and nilpotency of endomorphisms of algebraic sofic shifts1
Escape components of McMullen maps1
Equilibrium states for non-transitive random open and closed dynamical systems1
Markov capacity for factor codes with an unambiguous symbol1
Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation1
Oscillating simply connected wandering domains1
Invariant escaping Fatou components with two rank-one limit functions for automorphisms of1
Rational points on nonlinear horocycles and pigeonhole statistics for the fractional parts of1
Rigidity of joinings for some measure-preserving systems1
The algebraic dynamics of the pentagram map1
A dynamical approach to the asymptotic behavior of the sequence1
Transfer operators for ultradifferentiable expanding maps of the circle1
Prime number theorem for regular Toeplitz subshifts1
Accumulation set of critical points of the multipliers in the quadratic family1
Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems1
Disjointness for measurably distal group actions and applications1
Measure-theoretic sequence entropy pairs and mean sensitivity1
Typical properties of periodic Teichmüller geodesics: Lyapunov exponents1
Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts1
Exponential mixing property for Hénon–Sibony maps of1
Unique ergodicity of the automorphism group of the semigeneric directed graph1
Reduced dynamical systems1
Statistical aspects of mean field coupled intermittent maps1
Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 21
Topological structure of the sum of two homogeneous Cantor sets1
Flexibility of Lyapunov exponents with respect to two classes of measures on the torus1
Periodic points for amenable group actions on uniquely arcwise connected continua1
Kneading sequences for toy models of Hénon maps1
On denseness of horospheres in higher rank homogeneous spaces1
Critical recurrence in the real quadratic family1
A note on preimage entropy1
Mixing properties of erasing interval maps1
Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics1
Relative uniformly positive entropy of induced amenable group actions1
Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity1
Dynamical invariants of monomial correspondences1
Dimension estimates for iterated function systems and repellers. Part I1
Generic rotation sets1
Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces1
Sensitivity and historic behavior for continuous maps on Baire metric spaces1
Entropy in uniformly quasiregular dynamics1
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics1
Tame or wild Toeplitz shifts1
Fractal projections with an application in number theory1
Non-integrability of the restricted three-body problem1
Spectral cocycle for substitution tilings1
Stable intersections of conformal Cantor sets1
On -approachability, entropy density and -free shifts1
Twisted cohomological equations for translation flows1
On subshifts with slow forbidden word growth1
The Assouad dimension of self-affine measures on sponges1
Mixing and rigidity along asymptotically linearly independent sequences1
Periodic point free homeomorphisms and irrational rotation factors1
The conformal measures of a normal subgroup of a cocompact Fuchsian group1
Counting closed geodesics in a compact rank-one locally CAT(0) space1
Characteristic measures of symbolic dynamical systems1
Decay of correlations for certain isometric extensions of Anosov flows1
Lee-Yang zeros of the antiferromagnetic Ising model1
Approximating integrals with respect to stationary probability measures of iterated function systems1
Critical values for the -transformation with a hole at1
Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps1
Conditional mean dimension1
Equidistribution of horospheres in non-positive curvature1
On the ergodicity of unitary frame flows on Kähler manifolds1
On infinitely many foliations by caustics in strictly convex open billiards1
A counterexample to the HK-conjecture that is principal1
Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy1
Julia sets of Zorich maps1
Lyapunov exponent of random dynamical systems on the circle1
Non-singular -actions: an ergodic theorem over rectangles with application to the critical dimensions1
A new characterization of the Haagerup property by actions on infinite measure spaces1
ETS volume 41 Issue 4 Cover and Front matter0
Polynomial mean complexity and logarithmic Sarnak conjecture0
ETS volume 42 issue 2 Cover and Back matter0
Non-realizability of the pure braid group as area-preserving homeomorphisms0
ETS volume 41 Issue 8 Cover and Front matter0
ETS volume 40 Issue 8 Cover and Back matter0
ETS volume 41 Issue 2 Cover and Front matter0
ETS volume 42 issue 6 Cover and Back matter0
Stabilized automorphism group of odometers and of Toeplitz subshifts0
ETS volume 41 Issue 8 Cover and Back matter0
Geometric and combinatorial properties of self-similar multifractal measures0
Strongly ergodic equivalence relations: spectral gap and type III invariants – CORRIGENDUM0
ETS volume 42 issue 1 Cover and Front matter0
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