ON THE DEFINITION OF RELATIVE PRESSURE FOR FACTOR MAPS ON SHIFTS OF FINITE TYPE

DOI10.1112/S0024609305004303zbMath1074.37011arXivmath/0403163OpenAlexW2054390589WikidataQ105584098 ScholiaQ105584098MaRDI QIDQ5693475

Sujin Shin, Karl E. Petersen

Publication date: 26 September 2005

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403163

zbMATH Keywords

invariant measuresymbolic dynamicspotential functionshift of finite typefactor maprelative entropy functionrelative pressure function

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (8)

Relative pressure functions and their equilibrium states ⋮ Equilibrium states for factor maps between subshifts ⋮ On generalized compensation functions for factor maps between shift spaces on countable alphabets ⋮ Dimensions of compact invariant sets of some expanding maps ⋮ On factors of Gibbs measures for almost additive potentials ⋮ Compensation functions for factors of shifts of finite type ⋮ Existence of a measurable saturated compensation function between subshifts and its applications ⋮ APPLICATIONS OF A RELATIVE VARIATIONAL PRINCIPLE TO DIMENSIONS OF NONCONFORMAL EXPANDING MAPS

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