Multifractal analysis for the historic set in topological dynamical systems
From MaRDI portal
Publication:5326019
DOI10.1088/0951-7715/26/7/1975zbMath1306.37011arXiv1212.4337OpenAlexW2058992573MaRDI QIDQ5326019
Publication date: 31 July 2013
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4337
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)
Related Items
Topological entropy of level sets of empirical measures for non-uniformly expanding maps ⋮ High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure ⋮ Packing Entropy of Saturated Sets for Nonuniformly Hyperbolic Systems ⋮ The conditional variational principle for maps with the pseudo-orbit tracing property ⋮ On the topological pressure of the saturated set with non-uniform structure ⋮ Conditional variational principle for the irregular set in some nonuniformly hyperbolic systems ⋮ THE PRESSURE OF THE HISTORIC SET FOR ERGODIC AUTOMORPHISMS OF ABELIAN GROUPS ⋮ Abundance of wild historic behavior ⋮ Multifractal analysis of weighted local entropies ⋮ Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems ⋮ Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets ⋮ Katok formula for the induced measure-theoretic entropy ⋮ Highly irregular orbits for subshifts of finite type: large intersections and emergence ⋮ Multifractal analysis for maps with the gluing orbit property ⋮ On the rotation sets of generic homeomorphisms on the torus ⋮ Systems with almost specification property may have zero entropy ⋮ Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems