Multifractal analysis of the irregular set for almost-additive sequences via large deviations

DOI10.1088/0951-7715/28/10/3563zbMath1352.37087arXiv1410.2220OpenAlexW1786026430MaRDI QIDQ3196576

Paulo Varandas, Thiago Bomfim

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2220

zbMATH Keywords

large deviationsmultifractal analysisirregular setsalmost additive sequences

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Large deviations (60F10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

Related Items (16)

Typical properties of ergodic optimization for asymptotically additive potentials ⋮ Irregular sets for piecewise monotonic maps ⋮ On the periodic orbits, shadowing and strong transitivity of continuous flows ⋮ Abundance of wild historic behavior ⋮ On entropy production of repeated quantum measurements. I. General theory ⋮ Constrained ergodic optimization for asymptotically additive potentials ⋮ Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets ⋮ Topological features of flows with the reparametrized gluing orbit property ⋮ Multifractal analysis for maps with the gluing orbit property ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ The asymptotically additive topological pressure: variational principle for non-compact and intersection of irregular sets ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent ⋮ Almost additive multifractal analysis for flows ^* ⋮ Large-deviation properties in some non-uniformly hyperbolic systems via Pesin theory

This page was built for publication: Multifractal analysis of the irregular set for almost-additive sequences via large deviations