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 2020-03-01 to 2024-03-01.)

Article	Citations
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms	10
On the rotation sets of generic homeomorphisms on the torus	10
Dimension estimates for iterated function systems and repellers. Part II	8
Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves	8
A characterization of 3D steady Euler flows using commuting zero-flux homologies	8
Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies	7
Generic homeomorphisms have full metric mean dimension	7
The number of ergodic measures for transitive subshifts under the regular bispecial condition	7
Eventually dendric shift spaces	7
Generic non-singular Poisson suspension is of type III₁	7
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
Dynamical Borel–Cantelli lemma for recurrence theory	6
Relative bifurcation sets and the local dimension of univoque bases	6
Statistical stability and linear response for random hyperbolic dynamics	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
Chaotic behavior of the p-adic Potts–Bethe mapping II	5
Dynamics of compact quantum metric spaces	5
A piecewise smooth Fermi–Ulam pingpong with potential	5
An uncountable Moore–Schmidt theorem	5
Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems	5
Maximally highly proximal flows	5

Entropies and volume growth of unstable manifolds	4
Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity	4
Arithmeticity of hyperbolic -manifolds containing infinitely many totally geodesic surfaces	4
Geodesic planes in geometrically finite acylindrical -manifolds	4
On -genericity of distributional chaos	4
Homology andK-theory of dynamical systems I. Torsion-free ample groupoids	4
Geodesic stretch, pressure metric and marked length spectrum rigidity	4
Big mapping class groups and rigidity of the simple circle	4
Limit group invariants for non-free Cantor actions	4
Extensions with shrinking fibers	4
Dynamics of Newton maps	4
Packing topological entropy for amenable group actions	4
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces	4
S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps	4
There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus	4
An ergodic system is dominant exactly when it has positive entropy	4
Sequence entropy tuples and mean sensitive tuples	4
Orbifold expansion and entire functions with bounded Fatou components	4
A dichotomy for bounded displacement equivalence of Delone sets	4
Symbolic dynamics in mean dimension theory	4
Local limit theorems in relatively hyperbolic groups I: rough estimates	3
Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap	3
Dynamics and topological entropy of 1D Greenberg–Hastings cellular automata	3
Steady Euler flows and Beltrami fields in high dimensions	3
Invariant densities for random systems of the interval	3
Zero entropy actions of amenable groups are not dominant	3
Realization of analytic moduli for parabolic Dulac germs	3
Flexibility of Lyapunov exponents	3
Measure-theoretically mixing subshifts with low complexity	3
New examples of Bernoulli algebraic actions	3
Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map	3
Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups	3
Limits of geodesic push-forwards of horocycle invariant measures	3
Local finiteness and automorphism groups of low complexity subshifts	3
The type semigroup, comparison, and almost finiteness for ample groupoids	3
Strongly aperiodic subshifts of finite type on hyperbolic groups	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
Directed harmonic currents near non-hyperbolic linearizable singularities	3
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups	3
Smoothness of stable holonomies inside center-stable manifolds	3
A spectral decomposition of the attractor of piecewise-contracting maps of the interval	3
-spectra of measures on planar non-conformal attractors	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
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms	3
A variational principle for the metric mean dimension of free semigroup actions	3
On Polish groups admitting non-essentially countable actions	3

Dynamical behavior of alternate base expansions	3
An uncountable Furstenberg–Zimmer structure theory	3
Anatole Katok	3
Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers	3
Primitive rational points on expanding horocycles in products of the modular surface with the torus	3
Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set	3
Thermodynamic formalism for Haar systems in noncommutative integration: transverse functions and entropy of transverse measures	2
Value distribution of derivatives in polynomial dynamics	2
Conditional mixing in deterministic chaos	2
Recognizability of morphisms	2
Periodic points of post-critically algebraic holomorphic endomorphisms	2
Continuum of allosteric actions for non-amenable surface groups	2
A category-theoretic proof of the ergodic decomposition theorem	2
Chaos and frequent hypercyclicity for weighted shifts	2
A generalized type semigroup and dynamical comparison	2
Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence	2
Quasisymmetric orbit-flexibility of multicritical circle maps	2
Conjugacy of local homeomorphisms via groupoids and C*-algebras	2
Minimal flows with arbitrary centralizer	2
The mapping class group action on -character varieties	2
Non-existence of sublinear diffusion for a class of torus homeomorphisms	2
Almost blenders and parablenders	2
Divergent trajectories in arithmetic homogeneous spaces of rational rank two	2
Symbolic factors of -adic subshifts of finite alphabet rank	2
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra II	2
Uniformly positive entropy of induced transformations	2
The scenery flow of self-similar measures with weak separation condition	2
Iterative square roots of functions	2
Pointwise convergence of certain continuous-time double ergodic averages	2
Symbolic dynamics for non-uniformly hyperbolic systems	2
The ideal structures of self-similar -graph C*-algebras	2
Thermodynamics of smooth models of pseudo–Anosov homeomorphisms	2
Number-theoretic positive entropy shifts with small centralizer and large normalizer	2
-adic characterization of minimal ternary dendric shifts	2
Dendrites and measures with discrete spectrum	2
Glider automata on all transitive sofic shifts	2
Sarnak’s conjecture for sequences of almost quadratic word growth	2
A non-Borel special alpha-limit set in the square	2
Pseudorotations of the -disc and Reeb flows on the -sphere	2
Some remarks on oscillation inequalities	2
The Cuntz semigroup and the radius of comparison of the crossed product by a finite group	2
Examples of exponentially many collisions in a hard ball system	2
The K-property for some unique equilibrium states in flows and homeomorphisms	2
On equicontinuous factors of flows on locally path-connected compact spaces	2
Reeb orbits that force topological entropy	2
Krieger’s finite generator theorem for actions of countable groups III	2
Combinatorial independence and naive entropy	2
Homoclinic orbits for area preserving diffeomorphisms of surfaces	2
On higher-order Fourier analysis in characteristic p	2
Flows, growth rates, and the veering polynomial	2
Host–Kra theory for -systems and multiple recurrence	2
Asymptotic scaling and universality for skew products with factors in SL(2,)	2
On arithmetic progressions in non-periodic self-affine tilings	2
The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms	2
Non-uniform ergodic properties of Hamiltonian flows with impacts	2
Markov chains with exponential return times are finitary	2
Dimension approximation in smooth dynamical systems	2
Classification of partially hyperbolic diffeomorphisms under some rigid conditions	2
New approach to weighted topological entropy and pressure	2
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids	2
Multiplicative constants and maximal measurable cocycles in bounded cohomology	2
Generic chaos on dendrites	2
Minimally critical regular endomorphisms of	2
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles	2
Random Young towers and quenched limit laws	2
On invariant subalgebras of group and von Neumann algebras	2
Mean equicontinuity and mean sensitivity on cellular automata	2
Spread out random walks on homogeneous spaces	2