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Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions


 
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1. Title Title of document Existence and Exponential Mixing of Infinite White $\alpha$-Stable Systems with Unbounded Interactions
 
2. Creator Author's name, affiliation, country Lihu Xu; Technische Universität Berlin; Germany
 
2. Creator Author's name, affiliation, country Boguslaw Zegarlinski; Imperial College London; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Exponential mixing; White symmetric $alpha$-stable processes; Lie bracket; Finite speed of propagation of information; Gradient bounds.
 
3. Subject Subject classification 37L55; 60H10; 60H15
 
4. Description Abstract We study an infinite white $\alpha$-stable systems with unbounded interactions, and prove the existence of a solution by Galerkin approximation and an exponential mixing property by an $\alpha$-stable version of gradient bounds.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-12-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/831
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-831
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
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