On the relative variational principle for fibre expanding maps

DOI10.1017/S014338570200038XzbMath1023.37017OpenAlexW2016655318MaRDI QIDQ3150506

Stefan-M. Heinemann, Manfred Denker, Mikhaĭl Iosifovich Gordin

Publication date: 17 October 2002

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338570200038x

zbMATH Keywords

entropyvariational principletopological pressureexpanding maprelative transfer operatorrelative variational principle

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (8)

Semigroup actions of expanding maps ⋮ Quenched and annealed equilibrium states for random Ruelle expanding maps and applications ⋮ On the uniqueness of an ergodic measure of full dimension for non-conformal repellers ⋮ Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus ⋮ Absolutely continuous invariant measures for random non-uniformly expanding maps ⋮ Stochastic stability for fiber expanding maps via a perturbative spectral approach ⋮ On the liftability of expanding stationary measures ⋮ Fibrewise expansive systems

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