Ergodic Theory and Dynamical Systems

Papers
(The TQCC of Ergodic Theory and Dynamical Systems is 1. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
ETS volume 43 issue 3 Cover and Back matter16
ETS volume 44 issue 3 Cover and Front matter12
ETS volume 44 issue 10 Cover and Back matter11
ETS volume 44 issue 4 Cover and Back matter10
Non-commutative skew-product extension dynamical systems10
The Real Teapot9
Stable laws for random dynamical systems8
Pointwise convergence in nilmanifolds along smooth functions of polynomial growth8
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape – CORRIGENDUM8
Furstenberg systems of pretentious and MRT multiplicative functions7
ETS volume 46 issue 6 Cover and Back matter7
Joining properties of automorphisms disjoint with all ergodic systems7
Escape rate spectra for hyperbolic $\mathbb {Z}$ -covers of Schottky surfaces6
Frequently hypercyclic random vectors for $C_{0}$ -semigroups6
Classification of conditional measures along certain invariant one-dimensional foliations6
ETS volume 43 issue 2 Cover and Front matter6
Phragmén–Lindelöf principles and Julia limiting directions of quasiregular mappings6
ETS volume 43 issue 12 Cover and Back matter5
Upper, down, two-sided Lorenz attractor, collisions, merging, and switching5
A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class5
ETS volume 42 issue 11 Cover and Back matter5
On denseness of horospheres in higher rank homogeneous spaces5
ETS volume 45 issue 8 Cover and Back matter5
Rigidity of joinings for time changes of unipotent flows on quotients of Lorentz groups5
An ergodic system is dominant exactly when it has positive entropy5
On the ergodicity of geodesic flows on surfaces without focal points5
A saturated theorem along cubes for a measure and applications4
On the dimension of stationary measures for random piecewise affine interval homeomorphisms4
Existence of large deviations rate function for any S -unimodal map4
Non-concentration property of Patterson–Sullivan measures for Anosov subgroups4
Patterson–Sullivan theory for groups with a strongly contracting element4
ETS volume 44 issue 8 Cover and Front matter4
Subgroup mixing and random walks in groups acting on hyperbolic spaces4
Wasserstein convergence rates in the invariance principle for deterministic dynamical systems4
A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems – CORRIGENDUM4
ETS volume 45 issue 7 Cover and Front matter4
ETS volume 43 issue 9 Cover and Back matter4
Transitive mappings on the Cantor fan4
Disintegration results for fractal measures and applications to Diophantine approximation4
Hausdorff dimension of sets of generic points for non-statistical dynamical systems3
Cancellations of periodic orbits for non-singular Morse–Smale flows3
On mixing flows on finite-area translation surfaces3
ETS volume 44 issue 5 Cover and Back matter3
Realizing polynomial ramification portraits3
Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity3
On invariant measures of ‘satellite’ infinitely renormalizable quadratic polynomials3
Quantitative recurrence properties and strong dynamical Borel–Cantelli lemmas for dynamical systems with exponential decay of correlations3
Grid method for divergence of averages3
ETS volume 45 issue 8 Cover and Front matter3
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees3
Counting closed geodesics on rank-one manifolds without focal points3
Uniform syndeticity in multiple recurrence3
Shared dynamically small points for polynomials on average3
High-order homoclinic tangencies of corank 23
Small doubling for discrete subsets of non-commutative groups and a theorem of Lagarias3
Modulus of continuity of invariant densities and entropies for piecewise expanding maps3
Characterization of the tree cycles with minimum positive entropy for any period3
Polynomial shape adic systems are inherently expansive3
On sets of pointwise recurrence and dynamically thick sets3
On higher-order Fourier analysis in characteristic p3
Vassiliev invariants and writhe for periodic orbits of Axiom A flows3
Invariant measures of Toeplitz subshifts on non-amenable groups3
Conditional intermediate entropy and Birkhoff average properties of hyperbolic flows2
Non-leading eigenvalues of the Perron–Frobenius operators for beta-maps2
Minimal and proximal examples of $\bar {d}$ -stable and $\bar {d}$ -approachable shift spaces2
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics2
Finitely presented left orderable monsters2
Constructing equilibrium states for some partially hyperbolic attractors via densities2
ETS volume 44 issue 1 Cover and Back matter2
Entropy continuity of Lyapunov exponents for non-flat one-dimensional maps2
Homomorphisms from aperiodic subshifts to subshifts with the finite extension property2
Exponential mixing of measures of maximal entropy for certain skew products2
Asymptotic distribution for pairs of linear and quadratic forms at integral vectors2
Deformational rigidity of integrable metrics on the torus2
Model sets with Euclidean internal space2
A threshold for Poisson behavior of non-stationary product measures2
The moduli space of a rational map is Carathéodory hyperbolic2
ETS volume 43 issue 7 Cover and Back matter2
The natural extension of the random beta-transformation2
ETS volume 42 issue 9 Cover and Front matter2
ETS volume 44 issue 7 Cover and Front matter2
Partially hyperbolic endomorphisms with expanding linear part2
Quasisymmetrically rigid self-similar carpets2
A dynamical classification for crossed products of fiberwise essentially minimal zero-dimensional dynamical systems2
Uniform positivity of the Lyapunov exponent for  2
Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems2
Limit theorems for a class of unbounded observables with an application to ‘Sampling the Lindelöf hypothesis’2
Construction and applications of proximal maps for typical cocycles2
ETS volume 44 issue 4 Cover and Front matter2
Feldman–Katok pseudometric and the GIKN non-hyperbolic ergodic measures2
ETS volume 42 issue 12 Cover and Front matter2
Counting problems from the viewpoint of ergodic theory: from primitive integer points to simple closed curves2
Symbolic dynamics for Hénon maps near the boundary of the horseshoe locus2
On the ergodicity of unitary frame flows on Kähler manifolds2
Finite data rigidity for one-dimensional expanding maps2
ETS volume 44 issue 2 Cover and Front matter2
On sets of periodic orbit lengths in finitely presented dynamical systems2
Some measure rigidity and equidistribution results for β-maps2
On algebraic dependencies between Poincaré functions2
Birkhoff attractors of dissipative billiards2
Bracket words along Hardy field sequences2
Pointwise convergence of bilinear polynomial averages over the primes2
Entropy, virtual Abelianness and Shannon orbit equivalence2
Dynamical properties of minimal Ferenczi subshifts2
ETS volume 44 issue 6 Cover and Back matter2
The two-boost problem and Lagrangian Rabinowitz Floer homology2
On invariant subalgebras of group and von Neumann algebras1
ETS volume 45 issue 9 Cover and Back matter1
Entropy of group actions beyond uniform lattices1
Stabilized automorphism group of odometers and of Toeplitz subshifts1
Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity1
Effective dynamical systems beyond dimension zero and factors of SFTs1
On the Hausdorff dimension of invariant measures of piecewise smooth circle homeomorphisms1
Orbit separation dimension as complexity measure for primitive inflation tilings1
Non-rigidity of partially hyperbolic abelian $C^1$ -actions on tori1
ETS volume 45 issue 10 Cover and Front matter1
ETS volume 45 issue 3 Cover and Front matter1
Random walks on groups and superlinear-divergent geodesics1
Uniform weighted averages and a conjecture of Bergelson, Moreira, and Richter1
On closure operations in the space of subgroups and applications1
Intersective sets for sparse sets of integers1
Quenched and annealed equilibrium states for random Ruelle expanding maps and applications1
Appendix B of Embedding topological dynamical systems with periodic points in cubical shift – CORRIGENDUM1
Piecewise quasiconformal dynamical systems of the unit circle1
Word complexity of (measure-theoretically) weakly mixing rank-one subshifts1
ETS volume 46 issue 4 Cover and Front matter1
ETS volume 46 issue 8 Cover and Front matter1
Blender-producing mechanisms and a dichotomy for local dynamics near heterodimensional cycles1
Local generation of tilings1
ETS volume 45 issue 11 Cover and Back matter1
Sub-actions for geodesic flows on locally CAT( $-1$ ) spaces1
Weakly mixing transformation that is Shannon orbit equivalent to a given ergodic transformation1
Homology and K-theory of dynamical systems IV. Further structural results on groupoid homology1
Subshifts of finite symbolic rank1
ETS volume 44 issue 3 Cover and Back matter1
Lavaurs algorithm for cubic symmetric polynomials1
Bounded geodesics on locally symmetric spaces1
Multiplicity of topological systems1
The Assouad dimension of self-affine measures on sponges1
Leafwise quasigeodesic foliations in dimension three and the funnel property1
On Anosovity, divergence and bi-contact surgery1
A set of 2-recurrence whose perfect squares do not form a set of measurable recurrence1
A category-theoretic proof of the ergodic decomposition theorem1
Mixing and rigidity along asymptotically linearly independent sequences1
Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set1
A parameter ASIP for the quadratic family1
Hyperbolicity and abundance of elliptical islands in annular billiards1
Surgery on Anosov flows using bi-contact geometry1
On the structure of sequences with minimal maximal pattern complexity1
ETS volume 46 issue 2 Cover and Front matter1
On the spectral theory of groups of automorphisms of S-adic nilmanifolds1
ETS volume 44 issue 6 Cover and Front matter1
Piecewise contractions1
Existence of non-trivial embeddings of interval exchange transformations into piecewise isometries1
ETS volume 45 issue 10 Cover and Back matter1
The dimension spectrum of the infinitely generated Apollonian gasket1
ETS volume 46 issue 7 Cover and Front matter1
On the abundance of k-fold semi-monotone minimal sets in bimodal circle maps1
Measures of maximal entropy of bounded density shifts1
Statistical aspects of mean field coupled intermittent maps1
Value distributions of derivatives of K -regular polynomial families1
ETS volume 45 issue 9 Cover and Front matter1
Agafonov’s theorem for finite and infinite alphabets and probability distributions different from equidistribution1
Analyticity of the Lyapunov exponents of random products of matrices1
ETS volume 43 issue 8 Cover and Back matter1
Coexistence of measures with simple Lyapunov spectrum for fiber-bunched cocycles1
Automorphisms of -free and other Toeplitz shifts1
Perturbations of graphs for Newton maps I: bounded hyperbolic components1
Entire maps with rational preperiodic points and multipliers1
Dimension estimates and approximation in non-uniformly hyperbolic systems1
ETS volume 45 issue 5 Cover and Front matter1
Linear repetitivity beyond abelian groups1
Sensitivity and historic behavior for continuous maps on Baire metric spaces1
ETS volume 45 issue 7 Cover and Back matter1
Random and mean Lyapunov exponents for1
1
A characterization of Thurston’s Master Teapot1
Phase transitions for non-singular Bernoulli actions1
ETS volume 43 issue 4 Cover and Back matter1
ETS volume 44 issue 7 Cover and Back matter1
Distribution of integers with digit restrictions via Markov chains1
Universal minimal flows of extensions of and by compact groups1
ETS volume 44 issue 10 Cover and Front matter1
On the dynamics of real quadratic harmonic polynomials with tree Julia sets1
Equilibrium states for non-transitive random open and closed dynamical systems1
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups1
Almost proximal extensions of minimal flows1
First Ruelle resonance for an Anosov flow with smooth potential1
Symbolic dynamics for pointwise hyperbolic systems on open regions1
Invariant random subgroups on certain orbits1
Borel complexity of sets of points with prescribed Birkhoff averages in Polish dynamical systems with a specification property1
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape1
Measure transfer and S-adic developments for subshifts1
Lagrange and Markov spectra for typical smooth systems1
$\overline {d}$ -continuity for countable state shifts1
An elementary proof that the Rauzy gasket is fractal1
ETS volume 42 issue 10 Cover and Front matter1
Global rigidity of smooth ${\mathbb{Z}}\ltimes _{\unicode{x3bb}}{\mathbb{R}}$ -actions on ${\mathbb{T}}^{2}$1
Non-integrability of the restricted three-body problem1
On invariant holonomies between centers1
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