Rare events, exponential hitting times and extremal indices via spectral perturbation

Keller G (2012)

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Dynamical Systems-An International Journal Taylor & Francis: STM, Behavioural Science and Public Health Titles

Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles

Book Volume: 27

Pages Range: 11-27

Journal Issue: 1

DOI: 10.1080/14689367.2011.653329

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)

How to cite

APA:

Keller, G. (2012). Rare events, exponential hitting times and extremal indices via spectral perturbation. Dynamical Systems-An International Journal, 27(1), 11-27. https://doi.org/10.1080/14689367.2011.653329

MLA:

Keller, Gerhard. "Rare events, exponential hitting times and extremal indices via spectral perturbation." Dynamical Systems-An International Journal 27.1 (2012): 11-27.

BibTeX: Download