APPLICATIONS OF A RELATIVE VARIATIONAL PRINCIPLE TO DIMENSIONS OF NONCONFORMAL EXPANDING MAPS

DOI10.1142/S0219493711003486zbMath1253.37015MaRDI QIDQ3094462

Yuki Yayama

Publication date: 25 October 2011

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionsymbolic dynamical systemssubadditive potentialnonconformal expanding maprelative pressurerelative variational principle

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

New approach to weighted topological entropy and pressure ⋮ Equilibrium states for factor maps between subshifts ⋮ On factors of Gibbs measures for almost additive potentials ⋮ Variational principle for weighted topological pressure ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent

Cites Work

• Equilibrium states for factor maps between subshifts
• Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures
• The thermodynamic formalism for almost-additive sequences
• Lyapunov spectrum of asymptotically sub-additive potentials
• Hausdorff dimensions of sofic affine-invariant sets
• On the topological pressure of random bundle transformations in sub-additive case
• Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus
• The Hausdorff dimension of general Sierpiński carpets
• Relative entropy functions for factor maps between subshifts
• Dimensions of compact invariant sets of some expanding maps
• An Introduction to Symbolic Dynamics and Coding
• ON THE DEFINITION OF RELATIVE PRESSURE FOR FACTOR MAPS ON SHIFTS OF FINITE TYPE

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