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On Recurrent and Transient Sets of Inhomogeneous Symmetric Random Walks

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	On Recurrent and Transient Sets of Inhomogeneous Symmetric Random Walks
2.	Creator	Author's name, affiliation, country	Giambattista Giacomin; Universitè Paris 7 and Laboratoire de Probabilités et Modèles Aléatoires C.N.R.S.
2.	Creator	Author's name, affiliation, country	Gustavo Posta; Politecnico di Milano
3.	Subject	Discipline(s)	Mathematics
3.	Subject	Keyword(s)	Inhomogeneous Symmetric Random Walks, Heat Kernel Estimates, Recurrence-Transience, Hitting Probabilities, Wiener test, Paley-Zygmund inequality
3.	Subject	Subject classification	60J25, 60J75, 82B41
4.	Description	Abstract	We consider a continuous time random walk on the $d$-dimensional lattice $\mathbb{Z}^d$: the jump rates are time dependent, but symmetric and strongly elliptic with ellipticity constants independent of time. We investigate the implications  of heat kernel estimates on recurrence-transience  properties of the walk and we give conditions for recurrence as well as for transience: we give applications of these conditions  and discuss them in relation with the (optimal) Wiener test available in the time independent context. Our approach relies on estimates on the time spent by the walk in a set and on a 0-1 law. We show also that, still via heat kernel estimates, one can avoid using a 0-1 law, achieving this way quantitative estimates on more general hitting probabilities.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2001-01-18
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/1033
10.	Identifier	Digital Object Identifier	10.1214/ECP.v6-1033
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 6
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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