Hitting and returning to non-rare events in mixing dynamical systems

J. R. Chazottes

doi:10.1088/0951-7715/16/3/313

Hitting and returning to non-rare events in mixing dynamical systems

J. R. Chazottes

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Résumé

We investigate the conditions to be imposed on the rate of mixing of a dynamical system in order to ensure the finiteness of some or all moments of hitting and return times to a given subset of its phase space. This amounts to studying the tail of the distribution of hitting and return times to this subset. Examples illustrate our results.

langue originale	Anglais
Pages (de - à)	1017-1034
Nombre de pages	18
journal	Nonlinearity
Volume	16
Numéro de publication	3
Les DOIs	https://doi.org/10.1088/0951-7715/16/3/313
état	Publié - 1 mai 2003

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10.1088/0951-7715/16/3/313

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Hitting and returning to non-rare events in mixing dynamical systems

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