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Recurrence and Transience for Long-Range Reversible Random Walks on a Random Point Process

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Recurrence and Transience for Long-Range Reversible Random Walks on a Random Point Process
2.	Creator	Author's name, affiliation, country	Pietro Caputo; Università di Roma Tre; Italy
2.	Creator	Author's name, affiliation, country	Alessandra Faggionato; University La Sapienza Rome; Italy
2.	Creator	Author's name, affiliation, country	Alexandre Gaudilliere; University of Roma Tre; Italy
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	random walk in random environment, recurrence, transience, point process, electrical network
3.	Subject	Subject classification	60K37; 60G55; 60J45
4.	Description	Abstract	We consider reversible random walks in random environment obtained from symmetric long-range jump rates on a random point process. We prove almost sure transience and recurrence results under suitable assumptions on the point process and the jump rate function. For recurrent models we obtain almost sure estimates on effective resistances in finite boxes. For transient models we construct explicit fluxes with finite energy on the associated electrical network.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	European Research Council
7.	Date	(YYYY-MM-DD)	2009-11-03
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/721
10.	Identifier	Digital Object Identifier	10.1214/EJP.v14-721
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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