Rare events, escape rates and quasistationarity: some exact formulae

Keller G, Liverani C (2009)

Publication Type: Journal article, Original article

Publication year: 2009

Journal

Journal of Statistical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 135

Pages Range: 519-534

Journal Issue: 3

DOI: 10.1007/s10955-009-9747-8

Abstract

We discuss how an eigenvalue perturbation formula for transfer operators of dynamical systems is related to exponential hitting time distributions and extreme value theory for processes generated by chaotic dynamical systems. We also list a number of piecewise expanding systems to which this general theory applies and discuss the prospects to apply this theory to some classes of piecewise hyperbolic systems.

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

Involved external institutions

Università degli Studi di Roma 'Tor Vergata' IT Italy (IT)

How to cite

APA:

Keller, G., & Liverani, C. (2009). Rare events, escape rates and quasistationarity: some exact formulae. Journal of Statistical Physics, 135(3), 519-534. https://doi.org/10.1007/s10955-009-9747-8

MLA:

Keller, Gerhard, and Carlangelo Liverani. "Rare events, escape rates and quasistationarity: some exact formulae." Journal of Statistical Physics 135.3 (2009): 519-534.

BibTeX: Download