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 2020-11-01 to 2024-11-01.)
ArticleCitations
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms12
Generic homeomorphisms have full metric mean dimension10
Dynamical Borel–Cantelli lemma for recurrence theory9
Dimension estimates for iterated function systems and repellers. Part II8
Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves8
On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras8
The number of ergodic measures for transitive subshifts under the regular bispecial condition8
Homology andK-theory of dynamical systems I. Torsion-free ample groupoids7
An uncountable Moore–Schmidt theorem7
Generic non-singular Poisson suspension is of type III17
Smoothness of stable holonomies inside center-stable manifolds6
Statistical stability and linear response for random hyperbolic dynamics6
S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps6
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces6
An uncountable Furstenberg–Zimmer structure theory6
Chaotic behavior of the p-adic Potts–Bethe mapping II5
Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity5
An ergodic system is dominant exactly when it has positive entropy5
On images of subshifts under embeddings of symbolic varieties5
New approach to weighted topological entropy and pressure5
Homoclinic orbits for area preserving diffeomorphisms of surfaces5
A piecewise smooth Fermi–Ulam pingpong with potential5
Dynamics of Newton maps5
Sequence entropy tuples and mean sensitive tuples5
Flexibility of Lyapunov exponents5
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions5
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits5
Orbifold expansion and entire functions with bounded Fatou components5
Geodesic planes in geometrically finite acylindrical -manifolds5
Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set4
Geodesic stretch, pressure metric and marked length spectrum rigidity4
Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence4
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
Non-uniform ergodic properties of Hamiltonian flows with impacts4
On -genericity of distributional chaos4
A dichotomy for bounded displacement equivalence of Delone sets4
Conjugacy of local homeomorphisms via groupoids and C*-algebras4
Entropies and volume growth of unstable manifolds4
Zero entropy and stable rotation sets for monotone recurrence relations4
Symbolic factors of -adic subshifts of finite alphabet rank4
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms4
Packing topological entropy for amenable group actions4
New examples of Bernoulli algebraic actions4
The bifurcation locus for numbers of bounded type4
Local limit theorems in relatively hyperbolic groups I: rough estimates4
Strongly aperiodic subshifts of finite type on hyperbolic groups4
A variational principle for the metric mean dimension of free semigroup actions4
Invariant densities for random systems of the interval4
Anatole Katok4
Dynamical behavior of alternate base expansions4
On higher-order Fourier analysis in characteristic p3
Steady Euler flows and Beltrami fields in high dimensions3
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
Centralizers of derived-from-Anosov systems on : rigidity versus triviality3
Reeb orbits that force topological entropy3
Subsystems of transitive subshifts with linear complexity3
Non-dense orbits on homogeneous spaces and applications to geometry and number theory3
Directed harmonic currents near non-hyperbolic linearizable singularities3
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers3
Return-time -spectrum for equilibrium states with potentials of summable variation3
Smooth models for certain fibered partially hyperbolic systems3
The K-property for some unique equilibrium states in flows and homeomorphisms3
Non-existence of sublinear diffusion for a class of torus homeomorphisms3
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids3
Garden of Eden and weakly periodic points for certain expansive actions of groups3
On invariant subalgebras of group and von Neumann algebras3
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups3
Glider automata on all transitive sofic shifts3
Sarnak’s conjecture for sequences of almost quadratic word growth3
Realization of analytic moduli for parabolic Dulac germs3
Recognizability of morphisms3
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups3
Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups3
Symbolic dynamics for non-uniformly hyperbolic systems3
On the automorphism group of minimal -adic subshifts of finite alphabet rank3
Local finiteness and automorphism groups of low complexity subshifts3
Minimal flows with arbitrary centralizer3
Large deviation principle for piecewise monotonic maps with density of periodic measures3
Zero entropy actions of amenable groups are not dominant3
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations3
Measure-theoretically mixing subshifts with low complexity3
Host–Kra theory for -systems and multiple recurrence3
On Polish groups admitting non-essentially countable actions3
Continuum of allosteric actions for non-amenable surface groups3
Some remarks on oscillation inequalities3
Asymptotic scaling and universality for skew products with factors in SL(2,)2
Periodic points of post-critically algebraic holomorphic endomorphisms2
Sensitivity and historic behavior for continuous maps on Baire metric spaces2
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles2
Bowen–Walters expansiveness for semigroups of linear operators2
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups2
Dendrites and measures with discrete spectrum2
Iterative square roots of functions2
A counterexample to the HK-conjecture that is principal2
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra II2
Divergent trajectories in arithmetic homogeneous spaces of rational rank two2
The geometric index and attractors of homeomorphisms of2
On equicontinuous factors of flows on locally path-connected compact spaces2
Almost existence from the feral perspective and some questions2
Multiplicative constants and maximal measurable cocycles in bounded cohomology2
Chaos and frequent hypercyclicity for weighted shifts2
Pointwise convergence of certain continuous-time double ergodic averages2
On -approachability, entropy density and -free shifts2
Conditional mixing in deterministic chaos2
Anosov flows on -manifolds: the surgeries and the foliations2
Flows, growth rates, and the veering polynomial2
Thermodynamics of smooth models of pseudo–Anosov homeomorphisms2
Amenable dynamical systems over locally compact groups2
Total disconnectedness of Julia sets of random quadratic polynomials2
Generic chaos on dendrites2
On arithmetic progressions in non-periodic self-affine tilings2
Characteristic measures of symbolic dynamical systems2
A category-theoretic proof of the ergodic decomposition theorem2
Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy2
Equidistribution of horospheres in non-positive curvature2
-invariants for planar two-center Stark–Zeeman systems2
Uniformly positive entropy of induced transformations2
Random Young towers and quenched limit laws2
Mean equicontinuity and mean sensitivity on cellular automata2
Topological and geometric hyperbolicity criteria for polynomial automorphisms of2
Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov2
On topological rank of factors of Cantor minimal systems2
Pseudorotations of the -disc and Reeb flows on the -sphere2
Dynamical degrees of affine-triangular automorphisms of affine spaces2
Value distribution of derivatives in polynomial dynamics2
The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms2
Dimension approximation in smooth dynamical systems2
-adic characterization of minimal ternary dendric shifts2
Dimension estimates for iterated function systems and repellers. Part I2
Periodic point free homeomorphisms and irrational rotation factors2
Prime number theorem for regular Toeplitz subshifts2
A non-Borel special alpha-limit set in the square2
Minimally critical regular endomorphisms of2
Equilibrium states for non-transitive random open and closed dynamical systems2
Almost blenders and parablenders2
Number-theoretic positive entropy shifts with small centralizer and large normalizer2
The scenery flow of self-similar measures with weak separation condition2
Oscillating simply connected wandering domains2
Invariant escaping Fatou components with two rank-one limit functions for automorphisms of2
Quasisymmetric orbit-flexibility of multicritical circle maps2
Decompositions and measures on countable Borel equivalence relations2
Ahlfors regularity and fractal dimension of Smale spaces2
Ergodic theorem in CAT(0) spaces in terms of inductive means1
Stable intersections of conformal Cantor sets1
Construction and applications of proximal maps for typical cocycles1
Twisted cohomological equations for translation flows1
Typical properties of periodic Teichmüller geodesics: Lyapunov exponents1
Effective equidistribution for generalized higher-step nilflows1
Computable Følner monotilings and a theorem of Brudno1
The Assouad dimension of self-affine measures on sponges1
Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials1
Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli1
Lee-Yang zeros of the antiferromagnetic Ising model1
Mixing and rigidity along asymptotically linearly independent sequences1
Rational points on nonlinear horocycles and pigeonhole statistics for the fractional parts of1
Markov capacity for factor codes with an unambiguous symbol1
Relative uniformly positive entropy of induced amenable group actions1
On infinitely many foliations by caustics in strictly convex open billiards1
Statistical determinism in non-Lipschitz dynamical systems1
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees1
Vortices over Riemann surfaces and dominated splittings1
Critical recurrence in the real quadratic family1
Counting closed geodesics in a compact rank-one locally CAT(0) space1
On denseness of horospheres in higher rank homogeneous spaces1
Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces1
Inverse problems and rigidity questions in billiard dynamics1
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics1
Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity1
KMS states on the crossed product -algebra of a homeomorphism1
On subshifts with slow forbidden word growth1
Quenched and annealed equilibrium states for random Ruelle expanding maps and applications1
An optimal transportation approach to the decay of correlations for non-uniformly expanding maps – CORRIGENDUM1
Partial C*-dynamics and Rokhlin dimension1
A note on preimage entropy1
Tame or wild Toeplitz shifts1
Polynomial mean complexity and logarithmic Sarnak conjecture1
The relative f-invariant and non-uniform random sofic approximations1
Disjointness for measurably distal group actions and applications1
Partially hyperbolic diffeomorphisms and Lagrangian contact structures1
Julia sets of Zorich maps1
Kneading sequences for toy models of Hénon maps1
Flexibility of Lyapunov exponents with respect to two classes of measures on the torus1
Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts1
Accessibility and centralizers for partially hyperbolic flows1
Statistical aspects of mean field coupled intermittent maps1
Hausdorff dimension of escaping sets of meromorphic functions II1
Non-integrability of the restricted three-body problem1
Shifts of finite type on locally finite groups1
Mixing properties of erasing interval maps1
Measure-theoretic sequence entropy pairs and mean sensitivity1
Markovian random iterations of homeomorphisms of the circle1
Lyapunov exponent of random dynamical systems on the circle1
On the accumulation of separatrices by invariant circles1
Multiple correlation sequences not approximable by nilsequences1
Generic rotation sets1
Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics1
Fractal projections with an application in number theory1
Non-singular -actions: an ergodic theorem over rectangles with application to the critical dimensions1
Directional Kronecker algebra for -actions1
Dynamical properties of minimal Ferenczi subshifts1
Isometric actions and finite approximations1
Invariant measures for -free systems revisited1
Escape components of McMullen maps1
Unique ergodicity of the automorphism group of the semigeneric directed graph1
Accumulation set of critical points of the multipliers in the quadratic family1
Closures of locally divergent orbits of maximal tori and values of homogeneous forms1
The essential coexistence phenomenon in Hamiltonian dynamics1
On the abundance of k-fold semi-monotone minimal sets in bimodal circle maps1
Topological structure of the sum of two homogeneous Cantor sets1
Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts1
Strongly aperiodic SFTs on generalized Baumslag–Solitar groups1
Decay of correlations for certain isometric extensions of Anosov flows1
Gaps of saddle connection directions for some branched covers of tori1
Exponential mixing property for Hénon–Sibony maps of1
Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation1
On the ergodicity of unitary frame flows on Kähler manifolds1
Conditional mean dimension1
A dynamical approach to the asymptotic behavior of the sequence1
Invariant sets and nilpotency of endomorphisms of algebraic sofic shifts1
Invariant family of leaf measures and the Ledrappier–Young property for hyperbolic equilibrium states1
Critical values for the -transformation with a hole at1
The algebraic dynamics of the pentagram map1
A report on an ergodic dichotomy1
Rigidity of joinings for some measure-preserving systems1
Slices of parameter space for meromorphic maps with two asymptotic values1
Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 21
Entropy, products, and bounded orbit equivalence1
Dynamics of hyperbolic correspondences1
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape1
Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems1
Distal systems in topological dynamics and ergodic theory1
On several notions of complexity of polynomial progressions1
Bohr chaoticity of principal algebraic actions and Riesz product measures1
Periodic expansion of one by Salem numbers1
Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles0
Stable laws for random dynamical systems0
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Geometric and combinatorial properties of self-similar multifractal measures0
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Hyperbolic actions of higher rank lattices come from rank-one factors0
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Asymptotic distribution for pairs of linear and quadratic forms at integral vectors0
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Pointwise convergence in nilmanifolds along smooth functions of polynomial growth0
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