Escape Rates for the Farey Map with Approximated Holes

DOI10.1142/S0218127416501698zbMath1352.37004arXiv1512.04432MaRDI QIDQ2953737

Imen Chouari, Claudio Bonanno

Publication date: 6 January 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04432

zbMATH Keywords

transfer operatorsescape ratesinfinite measure preserving dynamical systems

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (1)

Maximal escape rate for shifts

Uses Software

• DLMF

Cites Work

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• On the leading eigenvalue of transfer operators of the Farey map with real temperature
• Spectral analysis of transfer operators associated to Farey fractions
• On the essential spectrum of the transfer operator for expanding Markov maps
• Rare events, escape rates and quasistationarity: Some Exact formulae
• Escape rates and singular limiting distributions for intermittent maps with holes
• ON THE SPECTRUM OF THE TRANSFER OPERATORS OF A ONE-PARAMETER FAMILY WITH INTERMITTENCY TRANSITION
• Escape rate scaling in infinite measure preserving systems
• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Orderings of the rationals and dynamical systems

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