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 2021-02-01 to 2025-02-01.)
ArticleCitations
ETS volume 44 issue 4 Cover and Back matter9
Anosov flows on -manifolds: the surgeries and the foliations8
The geometric index and attractors of homeomorphisms of8
The Assouad dimension of self-affine measures on sponges8
ETS volume 42 issue 6 Cover and Back matter7
Geometric and combinatorial properties of self-similar multifractal measures7
ETS volume 42 issue 2 Cover and Back matter7
Pointwise convergence in nilmanifolds along smooth functions of polynomial growth6
ETS volume 41 Issue 8 Cover and Back matter6
ETS volume 41 Issue 4 Cover and Front matter6
Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts6
ETS volume 41 Issue 8 Cover and Front matter6
ETS volume 44 issue 5 Cover and Front matter5
ETS volume 42 issue 1 Cover and Front matter5
Rigidity properties for commuting automorphisms on tori and solenoids5
Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension k5
ETS volume 44 issue 3 Cover and Front matter5
Hyperbolic actions of higher rank lattices come from rank-one factors5
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups5
Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles5
ETS volume 42 issue 4 Cover and Front matter5
Effective equidistribution for generalized higher-step nilflows5
Stable laws for random dynamical systems5
Partially hyperbolic diffeomorphisms and Lagrangian contact structures5
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers5
Excursions to the cusps for geometrically finite hyperbolic orbifolds and equidistribution of closed geodesics in regular covers5
ETS volume 43 issue 3 Cover and Back matter5
Stabilized automorphism group of odometers and of Toeplitz subshifts4
Phase transitions for non-singular Bernoulli actions4
Existence and non-existence of solutions to the coboundary equation for measure-preserving systems4
ETS volume 43 issue 4 Cover and Front matter4
On the abundance of k-fold semi-monotone minimal sets in bimodal circle maps4
Equilibrium measures of the natural extension of -shifts4
Ahlfors regularity and fractal dimension of Smale spaces4
Pseudorotations of the -disc and Reeb flows on the -sphere4
Robust transitivity and domination for endomorphisms displaying critical points4
On uniqueness of invariant measures for random walks on4
Distortion in the group of circle homeomorphisms4
Word complexity of (measure-theoretically) weakly mixing rank-one subshifts4
Decomposition of multicorrelation sequences and joint ergodicity4
Entropy pair realization4
Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems4
ETS volume 42 issue 7 Cover and Back matter4
ETS volume 42 issue 7 Cover and Front matter4
Independence and almost automorphy of higher order4
Non-uniform ergodic properties of Hamiltonian flows with impacts4
Geodesic planes in geometrically finite acylindrical -manifolds4
Measure-theoretically mixing subshifts with low complexity3
Non-dense orbits on homogeneous spaces and applications to geometry and number theory3
Almost proximal extensions of minimal flows3
Model sets with Euclidean internal space3
On -approachability, entropy density and -free shifts3
Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov3
Surfaces of section for geodesic flows of closed surfaces3
Dynamics of Newton maps3
Joining properties of automorphisms disjoint with all ergodic systems3
Orbifold expansion and entire functions with bounded Fatou components3
Quasisymmetric orbit-flexibility of multicritical circle maps3
Construction and applications of proximal maps for typical cocycles3
Sequence entropy tuples and mean sensitive tuples3
The topological entropy of powers on Lie groups3
Quenched and annealed equilibrium states for random Ruelle expanding maps and applications3
An uncountable Furstenberg–Zimmer structure theory3
Density of mode-locking property for quasi-periodically forced Arnold circle maps3
Dimension estimates and approximation in non-uniformly hyperbolic systems3
New classes of quasigeodesic Anosov flows in $3$ -manifolds3
ETS volume 44 issue 1 Cover and Front matter3
On images of subshifts under embeddings of symbolic varieties3
Polynomial mean complexity and logarithmic Sarnak conjecture3
Accumulation set of critical points of the multipliers in the quadratic family3
A factor of i.i.d. with uniform marginals and infinite clusters spanned by equal labels3
Dynamical properties of minimal Ferenczi subshifts3
Quantitative reducibility of ${\boldsymbol {C}^{\boldsymbol {k}}}$ quasi-periodic cocycles3
On several notions of complexity of polynomial progressions3
Glider automata on all transitive sofic shifts3
Oscillating simply connected wandering domains2
Shub’s example revisited2
ETS volume 42 issue 5 Cover and Back matter2
KMS states for generalized gauge actions on -algebras associated with self-similar sets2
Generic properties of homeomorphisms preserving a given dynamical simplex2
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups2
Reconstructing a minimal topological dynamical system from a set of return times2
Almost existence from the feral perspective and some questions2
Equilibrium states for non-transitive random open and closed dynamical systems2
Fractal projections with an application in number theory2
ETS volume 42 issue 11 Cover and Back matter2
Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity2
Quasi-adelic measures and equidistribution on2
ETS volume 41 Issue 3 Cover and Back matter2
ETS volume 43 issue 12 Cover and Back matter2
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape – CORRIGENDUM2
Co-spectral radius of intersections2
ETS volume 42 issue 3 Cover and Back matter2
Inverse problems and rigidity questions in billiard dynamics2
ETS volume 43 issue 2 Cover and Front matter2
Arithmeticity of hyperbolic -manifolds containing infinitely many totally geodesic surfaces2
A dynamical classification for crossed products of fiberwise essentially minimal zero-dimensional dynamical systems2
Global rigidity of higher rank lattice actions with dominated splitting2
Carnot metrics, dynamics and local rigidity2
A piecewise smooth Fermi–Ulam pingpong with potential2
Smooth, mixing transformations with loosely Bernoulli Cartesian square2
ETS volume 41 Issue 7 Cover and Back matter2
On sofic approximations of2
Subsystems of transitive subshifts with linear complexity2
An ergodic system is dominant exactly when it has positive entropy2
Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics2
Asymptotic distribution for pairs of linear and quadratic forms at integral vectors2
ETS volume 44 issue 10 Cover and Back matter2
ETS volume 42 issue 1 Cover and Back matter2
ETS volume 42 issue 4 Cover and Back matter2
A characterization of a map whose inverse limit is an arc2
Generalizations of Douady’s magic formula2
Rigidity of joinings for time changes of unipotent flows on quotients of Lorentz groups2
On the spectral theory of groups of automorphisms of S-adic nilmanifolds2
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits2
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations2
A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class2
Entropy, products, and bounded orbit equivalence2
Birkhoff attractors of dissipative billiards2
A fixed-point curve theorem for finite-orbits local diffeomorphisms2
ETS volume 44 issue 10 Cover and Front matter1
ETS volume 43 issue 10 Cover and Front matter1
ETS volume 45 issue 1 Cover and Back matter1
Measures of maximal entropy of bounded density shifts1
Zero entropy actions of amenable groups are not dominant1
A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems – CORRIGENDUM1
Symbolic factors of -adic subshifts of finite alphabet rank1
Lyapunov exponent of random dynamical systems on the circle1
On infinitely many foliations by caustics in strictly convex open billiards1
Centralizers of derived-from-Anosov systems on : rigidity versus triviality1
Complexity of non-abelian cut-and-project sets of polytopal type I: special homogeneous Lie groups1
ETS volume 44 issue 5 Cover and Back matter1
Approximate homomorphisms and sofic approximations of orbit equivalence relations1
Decay of correlations for certain isometric extensions of Anosov flows1
Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation1
ETS volume 43 issue 8 Cover and Back matter1
ETS volume 42 issue 8 Cover and Front matter1
Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations1
ETS volume 42 issue 10 Cover and Front matter1
ETS volume 42 issue 8 Cover and Back matter1
Correlation of the renormalized Hilbert length for convex projective surfaces1
Orbits closeness for slowly mixing dynamical systems1
On denseness of horospheres in higher rank homogeneous spaces1
On the ergodicity of geodesic flows on surfaces without focal points1
On Ruelle’s property1
On algebraic dependencies between Poincaré functions1
Equidistribution of horospheres in non-positive curvature1
Khintchine-type double recurrence in abelian groups1
Periodic data rigidity of Anosov automorphisms with Jordan blocks1
Thermodynamic metrics on outer space1
Dendrites and measures with discrete spectrum1
On invariant subalgebras of group and von Neumann algebras1
A variational principle for the metric mean dimension of free semigroup actions1
Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts1
Non-concentration property of Patterson–Sullivan measures for Anosov subgroups1
Entropy bounds for multi-word perturbations of subshifts1
Time almost periodicity for solutions of Toda lattice equation with almost periodic initial datum1
Non-existence of a universal zero-entropy system via generic actions of almost complete growth1
On transversal Hölder regularity for flat Wieler solenoids1
A dynamical approach to the asymptotic behavior of the sequence1
Large deviation principle for piecewise monotonic maps with density of periodic measures1
Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli1
Distribution in the unit tangent bundle of the geodesics of given type1
Invariant measures for substitutions on countable alphabets1
Covering action on Conley index theory1
ETS volume 43 issue 2 Cover and Back matter1
Julia sets of Zorich maps1
A non-Borel special alpha-limit set in the square1
First Ruelle resonance for an Anosov flow with smooth potential1
A Szemerédi type theorem for sets of positive density in approximate lattices1
ETS volume 43 issue 9 Cover and Front matter1
The type semigroup, comparison, and almost finiteness for ample groupoids1
Wasserstein convergence rates in the invariance principle for deterministic dynamical systems1
Groups with infinite FC-center have the Schmidt property1
Upper, down, two-sided Lorenz attractor, collisions, merging, and switching1
Vortices over Riemann surfaces and dominated splittings1
Automorphisms of -free and other Toeplitz shifts1
Mixing properties of erasing interval maps1
ETS volume 44 issue 1 Cover and Back matter1
ETS volume 41 Issue 4 Cover and Back matter1
On possible limit functions on a Fatou component in non-autonomous iteration1
Katok’s special representation theorem for multidimensional Borel flows1
On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape1
Eliminating Thurston obstructions and controlling dynamics on curves1
Bounds for equilibrium states on amenable group subshifts1
ETS volume 43 issue 10 Cover and Back matter1
Intersective sets for sparse sets of integers1
Grid method for divergence of averages1
Hausdorff dimension of escaping sets of meromorphic functions II1
Critical values for the -transformation with a hole at1
Sur le spectre des opérateurs rigides1
Rational points on nonlinear horocycles and pigeonhole statistics for the fractional parts of1
Topological full groups of minimal subshifts and quantifying local embeddings into finite groups1
Garden of Eden and weakly periodic points for certain expansive actions of groups1
A counterexample to the HK-conjecture that is principal1
ETS volume 41 Issue 10 Cover and Front matter1
ETS volume 41 Issue 7 Cover and Front matter1
Poissonian pair correlation for directions in multi-dimensional affine lattices and escape of mass estimates for embedded horospheres1
Cancellations of periodic orbits for non-singular Morse–Smale flows1
Patterson–Sullivan theory for groups with a strongly contracting element1
There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus1
Reeb orbits that force topological entropy1
Some measure rigidity and equidistribution results for β-maps1
Topological weak mixing and diffusion at all times for a class of Hamiltonian systems1
Piecewise contractions1
Rigidity of joinings for some measure-preserving systems1
A category-theoretic proof of the ergodic decomposition theorem1
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