Periodic Points, Escape Rates and Escape Measures

DOI10.1007/978-1-4939-0419-8_3zbMath1352.37061OpenAlexW122093946MaRDI QIDQ5259670

Oscar F. Bandtlow, Mark Pollicott, Oliver Jenkinson

Publication date: 29 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0419-8_3

zbMATH Keywords

periodic pointsescape rateMarkov mapsescape measureMarkov hole

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

The baker’s map with a convex hole ⋮ Fast approximation of the affinity dimension for dominated affine iterated function systems ⋮ Escape rates for special flows and their higher order asymptotics ⋮ Slow and fast escape for open intermittent maps ⋮ Open maps: small and large holes with unusual properties

Cites Work

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• Where to place a hole to achieve a maximal escape rate
• Resolvent estimates for operators belonging to exponential classes
• Quasi-invariant measures, escape rates and the effect of the hole
• Dynamical averaging in terms of periodic orbits
• Computing invariant densities and metric entropy
• Orthonormal expansions of invariant densities for expanding maps
• Trace formulas for stochastic evolution operators: Weak noise perturbation theory
• Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set
• Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions
• Escape rates for Gibbs measures
• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Rigorous numerical approximation of escape rates
• Recycling of strange sets: I. Cycle expansions
• On the Ruelle eigenvalue sequence
• The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
• On the thermodynamic approach towards time-series analysis
• Escape rates and conditionally invariant measures
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Ergodic properties of the Bolyai-Rényi expansion

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