Gibbs measures for fibred systems

DOI10.1006/aima.1999.1843zbMath0963.37005OpenAlexW1999770813MaRDI QIDQ1969244

Manfred Denker, Mikhaĭl Iosifovich Gordin

Publication date: 8 July 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/491e7a8189b40a4394aafa3236adc143c609cf77

zbMATH Keywords

Perron-Frobenius operatorJulia setGibbs measures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (16)

Multifractal analysis of random weak Gibbs measures ⋮ Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems ⋮ Semigroup actions of expanding maps ⋮ Multifractal analysis for disintegrations of Gibbs measures and conditional Birkhoff averages ⋮ Hitting times and periodicity in random dynamics ⋮ Equilibrium states for factor maps between subshifts ⋮ Quenched and annealed equilibrium states for random Ruelle expanding maps and applications ⋮ Conformal measures for meromorphic maps ⋮ On factors of \(g\)-measures ⋮ On the uniqueness of an ergodic measure of full dimension for non-conformal repellers ⋮ On regularity of functions of Markov chains ⋮ Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus ⋮ A variational principle for free semigroup actions ⋮ Absolutely continuous invariant measures for random non-uniformly expanding maps ⋮ Entropy inequalities for semigroup actions ⋮ Fibrewise expansive systems

Cites Work

• Produits aléatoires d'opérateurs matrices de transfert. (Random products of transfer matrices)
• Ergodic properties of invariant measures for piecewise monotonic transformations
• Ergodic theory on compact spaces
• Decay of correlations
• Extensions of Jentzsch's Theorem
• Representations for real numbers and their ergodic properties
• Invariant families of cones and Lyapunov exponents
• On the Existence of Conformal Measures
• Repellers for real analytic maps
• Ruelle's transfer operator for random subshifts of finite type
• Socioemotional Development and Health from Adolescence to Adulthood, L.Pulkkinen, J.Kaprio, R.J.Rose (Eds.). Cambridge University Press, New York (2006). 439pp., $34.99, hardcover, ISBN: 0‐521‐84631‐5
• Ergodic theory of equilibrium states for rational maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Gibbs measures for fibred systems