Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-08T17:38:08.401Z Has data issue: false hasContentIssue false
  • English
  • Français

METASTABLE SETS IN OPEN DYNAMICAL SYSTEMS AND SUBSTOCHASTIC MARKOV CHAINS

Part of: Ergodic theory Applications - Dynamical systems and ergodic theory Smooth dynamical systems: general theory

Published online by Cambridge University Press:  08 July 2015

ROBYN M. STUART
ROBYN M. STUART*
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark email [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

open dynamical systemmetastabilityPerron–Frobenius operatorsubstochastic Markov chainsurface ocean dynamics

MSC classification

Primary: 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
Secondary: 37A30: Ergodic theorems, spectral theory, Markov operators 37C75: Stability theory 37N10: Dynamical systems in fluid mechanics, oceanography and meteorology
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 344 - 345
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Froyland, G., Pollet, P. K. and Stuart, R. M., ‘A closing scheme for finding almost-invariant sets in open dynamical systems’, J. Comput. Dyn. 1 (2014), doi:10.3934/jcd.2014.1.135.Google Scholar
Froyland, G., Stuart, R. M. and van Sebille, E., ‘How well-connected is the surface of the global ocean’, Chaos 24 (2014), doi:10.1063/1.4892530.CrossRefGoogle ScholarPubMed