Stability and approximation of random invariant densities for Lasota–Yorke map cocycles

DOI10.1088/0951-7715/27/4/647zbMath1316.37031arXiv1212.2247OpenAlexW2151729979WikidataQ59139564 ScholiaQ59139564MaRDI QIDQ5416801

Cecilia González-Tokman, Anthony N. Quas, Gary Froyland

Publication date: 15 May 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2247

zbMATH Keywords

random dynamical systemsPerron-Frobenius operatortransfer operatorUlam's methodrandom invariant measureLasota-Yorke maprandom invariant density

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Random dynamical systems (37H99)

Related Items (11)

Statistical stability and linear response for random hyperbolic dynamics ⋮ Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles ⋮ Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi‐invertible Matrix Cocycles ⋮ Regularity of characteristic exponents and linear response for transfer operator cocycles ⋮ Characterization of dominated splittings for operator cocycles acting on Banach spaces ⋮ Quenched linear response for smooth expanding on average cocycles ⋮ A self-consistent dynamical system with multiple absolutely continuous invariant measures ⋮ Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles ⋮ Hilbert space Lyapunov exponent stability ⋮ 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

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