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Spatio-temporal processes for visits to small sets. Pene, Francoise
Description
We are interested in the counting process of visits to a small set, and more precisely in its behaviour as the measure of the set goes to 0. We prove the convergence in distribution of this process to a Poisson process under general assumptions. We apply our general results in different expanding/hyperbolic contexts. We study in particular the case of chaotic billiard ows: Sinai billiard, the Bunimovich billiard in a stadium, billiards with corners and without cusps. We obtain a general result for visits to balls around a generic point when the system is modeled by a Markov Young tower, and also for visits to balls around an hyperbolic periodic point. This is a joint work with Benot Saussol, inspired by a question by Domokos Szasz and Peter Imre Toth.
Item Metadata
Title |
Spatio-temporal processes for visits to small sets.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-03-21T09:04
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Description |
We are interested in the counting process of visits to a small set,
and more precisely in its behaviour as the measure of the set goes to 0.
We prove the convergence in distribution of this process to a Poisson
process under general assumptions. We apply our general results in
different expanding/hyperbolic contexts. We study in particular the
case of chaotic billiard
ows: Sinai billiard, the Bunimovich billiard
in a stadium, billiards with corners and without cusps. We obtain a
general result for visits to balls around a generic point when the system
is modeled by a Markov Young tower, and also for visits to balls around
an hyperbolic periodic point. This is a joint work with Benot Saussol,
inspired by a question by Domokos Szasz and Peter Imre Toth.
|
Extent |
46.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Université de Bretagne Occidentale
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Series | |
Date Available |
2019-04-02
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377737
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International