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 2020-11-01 to 2024-11-01.)

Article	Citations
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms	12
Generic homeomorphisms have full metric mean dimension	10
Dynamical Borel–Cantelli lemma for recurrence theory	9
Dimension estimates for iterated function systems and repellers. Part II	8
Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves	8
On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras	8
The number of ergodic measures for transitive subshifts under the regular bispecial condition	8
Homology andK-theory of dynamical systems I. Torsion-free ample groupoids	7
An uncountable Moore–Schmidt theorem	7
Generic non-singular Poisson suspension is of type III₁	7
Smoothness of stable holonomies inside center-stable manifolds	6
Statistical stability and linear response for random hyperbolic dynamics	6
S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps	6
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces	6
An uncountable Furstenberg–Zimmer structure theory	6
Orbifold expansion and entire functions with bounded Fatou components	5
Geodesic planes in geometrically finite acylindrical -manifolds	5
Chaotic behavior of the p-adic Potts–Bethe mapping II	5
Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity	5
An ergodic system is dominant exactly when it has positive entropy	5
On images of subshifts under embeddings of symbolic varieties	5
New approach to weighted topological entropy and pressure	5
Homoclinic orbits for area preserving diffeomorphisms of surfaces	5
A piecewise smooth Fermi–Ulam pingpong with potential	5
Dynamics of Newton maps	5

Sequence entropy tuples and mean sensitive tuples	5
Flexibility of Lyapunov exponents	5
Ergodic cocycles of IDPFT systems and non-singular Gaussian actions	5
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits	5
Anatole Katok	4
Dynamical behavior of alternate base expansions	4
Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set	4
Geodesic stretch, pressure metric and marked length spectrum rigidity	4
Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence	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
Non-uniform ergodic properties of Hamiltonian flows with impacts	4
On -genericity of distributional chaos	4
A dichotomy for bounded displacement equivalence of Delone sets	4
Conjugacy of local homeomorphisms via groupoids and C*-algebras	4
Entropies and volume growth of unstable manifolds	4
Zero entropy and stable rotation sets for monotone recurrence relations	4
Symbolic factors of -adic subshifts of finite alphabet rank	4
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms	4
Packing topological entropy for amenable group actions	4
New examples of Bernoulli algebraic actions	4
The bifurcation locus for numbers of bounded type	4
Local limit theorems in relatively hyperbolic groups I: rough estimates	4
Strongly aperiodic subshifts of finite type on hyperbolic groups	4
A variational principle for the metric mean dimension of free semigroup actions	4
Invariant densities for random systems of the interval	4
Continuum of allosteric actions for non-amenable surface groups	3
Some remarks on oscillation inequalities	3
On higher-order Fourier analysis in characteristic p	3
Steady Euler flows and Beltrami fields in high dimensions	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
Centralizers of derived-from-Anosov systems on : rigidity versus triviality	3
Reeb orbits that force topological entropy	3
Subsystems of transitive subshifts with linear complexity	3
Non-dense orbits on homogeneous spaces and applications to geometry and number theory	3
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers	3
Directed harmonic currents near non-hyperbolic linearizable singularities	3
Return-time -spectrum for equilibrium states with potentials of summable variation	3
Smooth models for certain fibered partially hyperbolic systems	3
The K-property for some unique equilibrium states in flows and homeomorphisms	3
Non-existence of sublinear diffusion for a class of torus homeomorphisms	3
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids	3
Garden of Eden and weakly periodic points for certain expansive actions of groups	3
On invariant subalgebras of group and von Neumann algebras	3
Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups	3
Glider automata on all transitive sofic shifts	3
Realization of analytic moduli for parabolic Dulac germs	3
Sarnak’s conjecture for sequences of almost quadratic word growth	3
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups	3

Recognizability of morphisms	3
Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups	3
Symbolic dynamics for non-uniformly hyperbolic systems	3
On the automorphism group of minimal -adic subshifts of finite alphabet rank	3
Local finiteness and automorphism groups of low complexity subshifts	3
Minimal flows with arbitrary centralizer	3
Large deviation principle for piecewise monotonic maps with density of periodic measures	3
Zero entropy actions of amenable groups are not dominant	3
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations	3
Measure-theoretically mixing subshifts with low complexity	3
On Polish groups admitting non-essentially countable actions	3
Host–Kra theory for -systems and multiple recurrence	3
-adic characterization of minimal ternary dendric shifts	2
Dimension approximation in smooth dynamical systems	2
Periodic point free homeomorphisms and irrational rotation factors	2
Dimension estimates for iterated function systems and repellers. Part I	2
Prime number theorem for regular Toeplitz subshifts	2
A non-Borel special alpha-limit set in the square	2
Minimally critical regular endomorphisms of	2
Equilibrium states for non-transitive random open and closed dynamical systems	2
Almost blenders and parablenders	2
Number-theoretic positive entropy shifts with small centralizer and large normalizer	2
The scenery flow of self-similar measures with weak separation condition	2
Oscillating simply connected wandering domains	2
Invariant escaping Fatou components with two rank-one limit functions for automorphisms of	2
Quasisymmetric orbit-flexibility of multicritical circle maps	2
Decompositions and measures on countable Borel equivalence relations	2
Ahlfors regularity and fractal dimension of Smale spaces	2
Asymptotic scaling and universality for skew products with factors in SL(2,)	2
Periodic points of post-critically algebraic holomorphic endomorphisms	2
The geometric index and attractors of homeomorphisms of	2
Sensitivity and historic behavior for continuous maps on Baire metric spaces	2
Bowen–Walters expansiveness for semigroups of linear operators	2
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles	2
Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups	2
Dendrites and measures with discrete spectrum	2
Iterative square roots of functions	2
A counterexample to the HK-conjecture that is principal	2
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra II	2
Divergent trajectories in arithmetic homogeneous spaces of rational rank two	2
On equicontinuous factors of flows on locally path-connected compact spaces	2
Almost existence from the feral perspective and some questions	2
Multiplicative constants and maximal measurable cocycles in bounded cohomology	2
Chaos and frequent hypercyclicity for weighted shifts	2
Pointwise convergence of certain continuous-time double ergodic averages	2
On -approachability, entropy density and -free shifts	2
Conditional mixing in deterministic chaos	2
Anosov flows on -manifolds: the surgeries and the foliations	2
Flows, growth rates, and the veering polynomial	2
Thermodynamics of smooth models of pseudo–Anosov homeomorphisms	2
Amenable dynamical systems over locally compact groups	2
Total disconnectedness of Julia sets of random quadratic polynomials	2
On arithmetic progressions in non-periodic self-affine tilings	2
Generic chaos on dendrites	2
Characteristic measures of symbolic dynamical systems	2
A category-theoretic proof of the ergodic decomposition theorem	2
Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy	2
Equidistribution of horospheres in non-positive curvature	2
-invariants for planar two-center Stark–Zeeman systems	2
Uniformly positive entropy of induced transformations	2
Random Young towers and quenched limit laws	2
Mean equicontinuity and mean sensitivity on cellular automata	2
Topological and geometric hyperbolicity criteria for polynomial automorphisms of	2
Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov	2
On topological rank of factors of Cantor minimal systems	2
Pseudorotations of the -disc and Reeb flows on the -sphere	2
Dynamical degrees of affine-triangular automorphisms of affine spaces	2
Value distribution of derivatives in polynomial dynamics	2
The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms	2