OOIR: Observatory of International Research

Papers

(The TQCC of Ergodic Theory and Dynamical Systems is 2. 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.)

Article	Citations
On the rotation sets of generic homeomorphisms on the torus	11
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms	10
Generic homeomorphisms have full metric mean dimension	9
Dimension estimates for iterated function systems and repellers. Part II	8
The number of ergodic measures for transitive subshifts under the regular bispecial condition	8
Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves	8
Generic non-singular Poisson suspension is of type III₁	7
Eventually dendric shift spaces	7
Relative bifurcation sets and the local dimension of univoque bases	7
Dynamical Borel–Cantelli lemma for recurrence theory	6
Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability	6
On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras	6
Large deviations and central limit theorems for sequential and random systems of intermittent maps	6
Dynamics of compact quantum metric spaces	5
An ergodic system is dominant exactly when it has positive entropy	5
Maximally highly proximal flows	5
Chaotic behavior of the p-adic Potts–Bethe mapping II	5
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions	5
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits	5
On images of subshifts under embeddings of symbolic varieties	5
Flexibility of Lyapunov exponents	5
An uncountable Moore–Schmidt theorem	5
Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems	5
A piecewise smooth Fermi–Ulam pingpong with potential	5
Statistical stability and linear response for random hyperbolic dynamics	5

Recognizability of morphisms	4
A dichotomy for bounded displacement equivalence of Delone sets	4
Primitive rational points on expanding horocycles in products of the modular surface with the torus	4
A spectral decomposition of the attractor of piecewise-contracting maps of the interval	4
Symbolic dynamics in mean dimension theory	4
Zero entropy and stable rotation sets for monotone recurrence relations	4
Invariant densities for random systems of the interval	4
An uncountable Furstenberg–Zimmer structure theory	4
Dynamics of Newton maps	4
On -genericity of distributional chaos	4
Homology andK-theory of dynamical systems I. Torsion-free ample groupoids	4
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces	4
Geodesic stretch, pressure metric and marked length spectrum rigidity	4
Entropies and volume growth of unstable manifolds	4
There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus	4
Arithmeticity of hyperbolic -manifolds containing infinitely many totally geodesic surfaces	4
Sequence entropy tuples and mean sensitive tuples	4
Anatole Katok	4
Packing topological entropy for amenable group actions	4
Homoclinic orbits for area preserving diffeomorphisms of surfaces	4
Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set	4
S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps	4
Big mapping class groups and rigidity of the simple circle	4
Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity	4
Geodesic planes in geometrically finite acylindrical -manifolds	4
Orbifold expansion and entire functions with bounded Fatou components	4
On Polish groups admitting non-essentially countable actions	3
The ideal structures of self-similar -graph C*-algebras	3
Smoothness of stable holonomies inside center-stable manifolds	3
-spectra of measures on planar non-conformal attractors	3
Limits of geodesic push-forwards of horocycle invariant measures	3
Local finiteness and automorphism groups of low complexity subshifts	3
Steady Euler flows and Beltrami fields in high dimensions	3
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups	3
A variational principle for the metric mean dimension of free semigroup actions	3
Non-uniform ergodic properties of Hamiltonian flows with impacts	3
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers	3
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups	3
Dynamical behavior of alternate base expansions	3
New examples of Bernoulli algebraic actions	3
Local limit theorems in relatively hyperbolic groups I: rough estimates	3
The Cuntz semigroup and the radius of comparison of the crossed product by a finite group	3
The type semigroup, comparison, and almost finiteness for ample groupoids	3
Strongly aperiodic subshifts of finite type on hyperbolic groups	3
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms	3
Zero entropy actions of amenable groups are not dominant	3
Measure-theoretically mixing subshifts with low complexity	3
Realization of analytic moduli for parabolic Dulac germs	3
Directed harmonic currents near non-hyperbolic linearizable singularities	3
Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups	3

The bifurcation locus for numbers of bounded type	3
Garden of Eden and weakly periodic points for certain expansive actions of groups	3
On the automorphism group of minimal -adic subshifts of finite alphabet rank	3
On invariant subalgebras of group and von Neumann algebras	3
Subsystems of transitive subshifts with linear complexity	3
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations	3
Non-dense orbits on homogeneous spaces and applications to geometry and number theory	3
Chaos and frequent hypercyclicity for weighted shifts	2
The scenery flow of self-similar measures with weak separation condition	2
Number-theoretic positive entropy shifts with small centralizer and large normalizer	2
On higher-order Fourier analysis in characteristic p	2
Conditional mixing in deterministic chaos	2
Pointwise convergence of certain continuous-time double ergodic averages	2
Total disconnectedness of Julia sets of random quadratic polynomials	2
Host–Kra theory for -systems and multiple recurrence	2
The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms	2
Markov chains with exponential return times are finitary	2
Dendrites and measures with discrete spectrum	2
New approach to weighted topological entropy and pressure	2
A non-Borel special alpha-limit set in the square	2
Some remarks on oscillation inequalities	2
Generic chaos on dendrites	2
Random Young towers and quenched limit laws	2
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles	2
Almost blenders and parablenders	2
Reeb orbits that force topological entropy	2
Quasisymmetric orbit-flexibility of multicritical circle maps	2
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra II	2
Mean equicontinuity and mean sensitivity on cellular automata	2
Glider automata on all transitive sofic shifts	2
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension	2
Ahlfors regularity and fractal dimension of Smale spaces	2
Value distribution of derivatives in polynomial dynamics	2
Symbolic dynamics for non-uniformly hyperbolic systems	2
Periodic points of post-critically algebraic holomorphic endomorphisms	2
Bowen–Walters expansiveness for semigroups of linear operators	2
Continuum of allosteric actions for non-amenable surface groups	2
Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence	2
On arithmetic progressions in non-periodic self-affine tilings	2
Dimension approximation in smooth dynamical systems	2
Spread out random walks on homogeneous spaces	2
Minimal flows with arbitrary centralizer	2
Examples of exponentially many collisions in a hard ball system	2
Non-existence of sublinear diffusion for a class of torus homeomorphisms	2
Minimally critical regular endomorphisms of	2
Centralizers of derived-from-Anosov systems on : rigidity versus triviality	2
On equicontinuous factors of flows on locally path-connected compact spaces	2
Symbolic factors of -adic subshifts of finite alphabet rank	2
Pseudorotations of the -disc and Reeb flows on the -sphere	2
Combinatorial independence and naive entropy	2
Uniformly positive entropy of induced transformations	2
Classification of partially hyperbolic diffeomorphisms under some rigid conditions	2
Decompositions and measures on countable Borel equivalence relations	2
Anosov flows on -manifolds: the surgeries and the foliations	2
Flows, growth rates, and the veering polynomial	2
Asymptotic scaling and universality for skew products with factors in SL(2,)	2
Thermodynamics of smooth models of pseudo–Anosov homeomorphisms	2
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups	2
-adic characterization of minimal ternary dendric shifts	2
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids	2
Sarnak’s conjecture for sequences of almost quadratic word growth	2
Amenable dynamical systems over locally compact groups	2
Conjugacy of local homeomorphisms via groupoids and C*-algebras	2
A category-theoretic proof of the ergodic decomposition theorem	2
Multiplicative constants and maximal measurable cocycles in bounded cohomology	2
The K-property for some unique equilibrium states in flows and homeomorphisms	2
The mapping class group action on -character varieties	2
Divergent trajectories in arithmetic homogeneous spaces of rational rank two	2
The geometric index and attractors of homeomorphisms of	2
Iterative square roots of functions	2
Krieger’s finite generator theorem for actions of countable groups III	2