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Transience in dynamical systems

Published online by Cambridge University Press:  06 August 2012

GODOFREDO IOMMI  and
MIKE TODD
GODOFREDO IOMMI
Affiliation:
Facultad de Matemáticas, Pontificia Universidad Católica de Chile (PUC), Avenida Vicuña Mackenna 4860, Santiago, Chile (email: [email protected])
MIKE TODD
Affiliation:
Mathematical Institute, University of St Andrews, North Haugh, St Andrews, KY16 9SS, Scotland (email: [email protected])
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Abstract

We extend the theory of transience to general dynamical systems with no Markov structure assumed. This is linked to the theory of phase transitions. We also provide new examples to illustrate different kinds of transient behaviour.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 5 , October 2013 , pp. 1450 - 1476
Copyright
Copyright © 2012 Cambridge University Press 

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