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Entropy decay for interacting systems via the Bochner-Bakry-Émery approach


 
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1. Title Title of document Entropy decay for interacting systems via the Bochner-Bakry-Émery approach
 
2. Creator Author's name, affiliation, country Paolo Dai Pra; Università di Padova; Italy
 
2. Creator Author's name, affiliation, country Gustavo Posta; Politecnico di Milano; Italy
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Entropy decay, functional inequalities
 
3. Subject Subject classification 39B62; 60J80; 60K35
 
4. Description Abstract We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry-Emery approach to this setting. In particular, we obtain volume- independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-05-04
 
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/2041
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-2041
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
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