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Quantitative ergodicity for some switched dynamical systems

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Quantitative ergodicity for some switched dynamical systems
2.	Creator	Author's name, affiliation, country	Michel Benaïm; Université de Neuchâtel; Switzerland
2.	Creator	Author's name, affiliation, country	Stéphane Le Borgne; Université de Rennes I; France
2.	Creator	Author's name, affiliation, country	Florent Malrieu; Université de Rennes 1; France
2.	Creator	Author's name, affiliation, country	Pierre-André Zitt; Université de Bourgogne; France
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Coupling; Ergodicity; Linear Differential Equations; Piecewise Deterministic Markov Process; Switched dynamical systems; Wasserstein distance
3.	Subject	Subject classification	60J75; 60J25; 93E15; 34D23
4.	Description	Abstract	We provide quantitative bounds for the long time behavior of a class of Piecewise Deterministic Markov Processes with state space $\mathbb{R}^d\times E$ where $E$ is a finite set. The continous component evolves according to a smooth vector field that it switched at the jump times of the discrete coordinate. The jump rates may depend on the whole position of the process. Under regularity assumptions on the jump rates and stability conditions for the vector fields we provide explicit exponential upper bounds for the convergence to equilibrium in terms of Wasserstein distances.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Agence Nationale de la Recherche ; Swiss National Foundation
7.	Date	(YYYY-MM-DD)	2012-12-03
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1932
10.	Identifier	Digital Object Identifier	10.1214/ECP.v17-1932
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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