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A special set of exceptional times for dynamical random walk on $Z^2$

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A special set of exceptional times for dynamical random walk on $Z^2$
2.	Creator	Author's name, affiliation, country	Gideon Amir; University of Toronto
2.	Creator	Author's name, affiliation, country	Christopher Hoffman; University of Washington
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Random Walks; Dynamical Random Walks, Dynamical Sensativity
3.	Subject	Subject classification	60G50 ; 82C41
4.	Description	Abstract	In [2] Benjamini, Haggstrom, Peres and Steif introduced the model of dynamical random walk on the $d$-dimensional lattice $Z^d$. This is a continuum of random walks indexed by a time parameter $t$. They proved that for dimensions $d=3,4$ there almost surely exist times $t$ such that the random walk at time $t$ visits the origin infinitely often, but for dimension 5 and up there almost surely do not exist such $t$. Hoffman showed that for dimension 2 there almost surely exists $t$ such that the random walk at time $t$ visits the origin only finitely many times [5]. We refine the results of [5] for dynamical random walk on $Z^2$, showing that with probability one the are times when the origin is visited only a finite number of times while other points are visited infinitely often.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	MSRI, Weizmann institute of science, University of Washington Royalty research Fund
7.	Date	(YYYY-MM-DD)	2008-10-30
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/571
10.	Identifier	Digital Object Identifier	10.1214/EJP.v13-571
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 13
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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