Lyapunov exponents for transfer operator cocycles of metastable maps: A quarantine approach

DOI10.1090/mosc/313zbMath1498.37086arXiv2101.06588OpenAlexW3121942630MaRDI QIDQ5082250

Cecilia González-Tokman, Anthony N. Quas

Publication date: 16 June 2022

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

Full work available at URL: https://arxiv.org/abs/2101.06588

zbMATH Keywords

Lyapunov exponentsmetastabilitytransfer operatorsmultiplicative ergodic theory

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Cites Work

• A semi-invertible Oseledets theorem with applications to transfer operator cocycles
• A concise proof of the multiplicative ergodic theorem on Banach spaces
• A spectral gap for transfer operators of piecewise expanding maps
• Escape rates and Perron-Frobenius operators: open and closed dynamical systems
• Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles
• Rare events, escape rates and quasistationarity: Some Exact formulae
• METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
• THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES
• Rare events, exponential hitting times and extremal indices via spectral perturbation†
• Escape rates for Gibbs measures
• A semi-invertible operator Oseledets theorem
• Approximating invariant densities of metastable systems
• Metastability of certain intermittent maps
• Coherent structures and isolated spectrum for Perron–Frobenius cocycles
• Absolutely continuous S.R.B. measures for random Lasota-Yorke maps
• Metastability
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