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Frequent Points for Random Walks in Two Dimensions

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Frequent Points for Random Walks in Two Dimensions
2.	Creator	Author's name, affiliation, country	Richard F. Bass; University of Connecticut
2.	Creator	Author's name, affiliation, country	Jay Rosen; College of Staten Island, CUNY
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Random walks, Green's functions, Harnack inequalities, frequent points
3.	Subject	Subject classification	Primary: 60G50; Secondary: 60F15
4.	Description	Abstract	For a symmetric random walk in $Z^2$ which does not necessarily have bounded jumps we study those points which are visited an unusually large number of times. We prove the analogue of the Erdös-Taylor conjecture and obtain the asymptotics for the number of visits to the most visited site. We also obtain the asymptotics for the number of points which are visited very frequently by time $n$. Among the tools we use are Harnack inequalities and Green's function estimates for random walks with unbounded jumps; some of these are of independent interest.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	NSF, PSC-CUNY
7.	Date	(YYYY-MM-DD)	2007-01-14
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/388
10.	Identifier	Digital Object Identifier	10.1214/EJP.v12-388
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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