Variational principle for topological pressures on subsets

DOI10.1016/J.JMAA.2014.11.066zbMath1320.37016arXiv1308.0445OpenAlexW2964092088MaRDI QIDQ482764

Yun Zhao, Xinjia Tang, Wen-Chiao Cheng

Publication date: 6 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0445

zbMATH Keywords

variational principletopological pressureBorel probability measuremeasure-theoretic pressure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40)

Related Items (18)

High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure ⋮ Variational principle and zero temperature limits of asymptotically (sub)-additive projection pressure ⋮ Unstable pressure of subsets for partially hyperbolic systems ⋮ Variational principles for topological pressures on subsets ⋮ Variational principle of topological pressure of free semigroup actions for subsets ⋮ A variational principle for weighted topological pressure under -actions ⋮ Polynomial entropy of amenable group actions for noncompact sets ⋮ A variational principle of the topological pressures for non-autonomous iterated function systems ⋮ Variational principle for BS-dimension of subsets of finitely generated free semigroup actions ⋮ Variational principle for topological pressure on subsets of non-autonomous dynamical systems ⋮ Bowen topological entropy of subsets for amenable group actions ⋮ Variational principle for topological pressure on subsets of free semigroup actions ⋮ The topological entropy of non-dense orbits and generalized Schmidt games ⋮ A Billingsley-type theorem for the pressure of an action of an amenable group ⋮ Variational principles of invariance pressures on partitions ⋮ Weak Gibbs measures and equilibrium states ⋮ A variational principle of topological pressure on subsets for amenable group actions ⋮ Measure theoretic pressure and dimension formula for non-ergodic measures

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