Sensitivity and historic behavior for continuous maps on Baire metric spaces

DOI10.1017/etds.2023.3arXiv2111.07215MaRDI QIDQ6089896

No author found.

Publication date: 15 December 2023

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07215

zbMATH Keywords

sensitivitytransitivityhistoric behaviorBaire metric spacegroup and semigroup action

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Cites Work

• Unnamed Item
• Unnamed Item
• Generic property of irregular sets in systems satisfying the specification property
• Conceptions of topological transitivity
• Generic measures for geodesic flows on nonpositively curved manifolds
• Topological pressure for the completely irregular set of Birkhoff averages
• Generic measures for hyperbolic flows on non-compact spaces
• Expanding measures
• Ergodic theory and statistical mechanics
• Entropy and isomorphism theorems for actions of amenable groups
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II
• Pointwise theorems for amenable groups.
• Robustly topological mixing of Kan's map
• Convergence of spherical averages for actions of free groups
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• Homoclinic groups, IE groups, and expansive algebraic actions
• Irregular sets are residual
• Topological entropy of level sets of empirical measures for non-uniformly expanding maps
• The mean and transitive points of homeomorphisms
• Abundance of wild historic behavior
• Cesàro Convergence of Spherical Averages for Measure-Preserving Actions of Markov Semigroups and Groups
• Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
• On Dynamical Systems With the Specification Property
• Existence of Gibbs measures for countable Markov shifts
• On the rotation sets of generic homeomorphisms on the torus
• Historic behavior in nonhyperbolic homoclinic classes
• On the topological entropy of saturated sets
• Ergodic average of typical orbits and typical functions

This page was built for publication: Sensitivity and historic behavior for continuous maps on Baire metric spaces