Absolutely continuous S.R.B. measures for random Lasota-Yorke maps

DOI10.1090/S0002-9947-00-02607-6zbMath0956.37021OpenAlexW2158263885MaRDI QIDQ4955730

Jérôme Buzzi

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02607-6

zbMATH Keywords

random compositionpiecewise expanding interval map

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Generation, random and stochastic difference and differential equations (37H10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05)

Related Items

Almost sure rates of mixing for i.i.d. unimodal maps ⋮ Critical intermittency in random interval maps ⋮ A semi-invertible operator Oseledets theorem ⋮ A coupling approach to random circle maps expanding on the average ⋮ Almost sure invariance principle for random piecewise expanding maps ⋮ Lyapunov exponents for transfer operator cocycles of metastable maps: A quarantine approach ⋮ Invariant measures for random expanding on average Saussol maps ⋮ Attractors for unimodal quasiperiodically forced maps ⋮ Singular stationary measures for random piecewise affine interval homeomorphisms ⋮ A self-consistent dynamical system with multiple absolutely continuous invariant measures ⋮ Absolutely continuous invariant measures for random non-uniformly expanding maps ⋮ Invariant densities for random systems of the interval ⋮ RANDOM β-TRANSFORMATIONS ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems ⋮ Quenched stochastic stability for eventually expanding-on-average random interval map cocycles ⋮ On the number of invariant measures for random expanding maps in higher dimensions ⋮ Matching for random systems with an application to minimal weight expansions ⋮ Invariant density functions of random -transformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Ergodic theorems. With a supplement by Antoine Brunel
• Random iteration of one-dimensional transformations
• Produits aléatoires d'opérateurs matrices de transfert. (Random products of transfer matrices)
• Correlation spectrum of quenched and annealed equilibrium states for random expanding maps
• Exponential decay of correlations for random Lasota-Yorke maps
• Invariant Densities for Random Maps of the Interval
• Bounded variation and invariant measures
• Un exemple de transformation dilatante et C¹ par morceaux de l'intervalle, sans probabilité absolument continue invariante
• Stochastic stability versus localization in one-dimensional chaotic dynamical systems
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ruelle's transfer operator for random subshifts of finite type
• ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR GENERIC MULTI-DIMENSIONAL PIECEWISE AFFINE EXPANDING MAPS