On factors of Gibbs measures for almost additive potentials
From MaRDI portal
Publication:2793109
DOI10.1017/etds.2014.50zbMath1367.37037arXiv1309.7703OpenAlexW2168159974MaRDI QIDQ2793109
Publication date: 15 March 2016
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.7703
Gibbs measurethermodynamical formalismspecification propertyalmost additive potentialBowen classone-sided subshift
Dynamical aspects of measure-preserving transformations (37A05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10)
Related Items
Relative pressure functions and their equilibrium states ⋮ Weak Gibbs measures as Gibbs measures for asymptotically additive sequences ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Hidden Gibbs measures on shift spaces over countable alphabets ⋮ Sequential Gibbs measures and factor maps ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent
Cites Work
- Weighted thermodynamic formalism on subshifts and applications
- On factor maps that send Markov measures to Gibbs measures
- Equilibrium states for factor maps between subshifts
- On factors of \(g\)-measures
- Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures
- The thermodynamic formalism for almost-additive sequences
- Lyapunov spectrum of asymptotically sub-additive potentials
- Measure-theoretic pressure for subadditive potentials
- Almost Gibbsian versus weakly Gibbsian measures
- Projection of Markov measures may be Gibbsian
- Hausdorff dimensions of sofic affine-invariant sets
- On the topological pressure of random bundle transformations in sub-additive case
- Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
- Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus
- Existence of a measurable saturated compensation function between subshifts and its applications
- APPLICATIONS OF A RELATIVE VARIATIONAL PRINCIPLE TO DIMENSIONS OF NONCONFORMAL EXPANDING MAPS
- Almost-additive thermodynamic formalism for countable Markov shifts
- The Hausdorff dimension of general Sierpiński carpets
- Dimensions of compact invariant sets of some expanding maps
- A Relativised Variational Principle for Continuous Transformations
- Measures of maximal relative entropy
- REGULARITY CONDITIONS AND BERNOULLI PROPERTIES OF EQUILIBRIUM STATES AND $g$-MEASURES
- An Introduction to Symbolic Dynamics and Coding
- Measures of full dimension on affine-invariant sets
- Class degree and relative maximal entropy
- Factors of Gibbs measures for subshifts of finite type
- ON THE DEFINITION OF RELATIVE PRESSURE FOR FACTOR MAPS ON SHIFTS OF FINITE TYPE
