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A local limit theorem for random walks in balanced environments

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A local limit theorem for random walks in balanced environments
2.	Creator	Author's name, affiliation, country	Mikko Stenlund; University of Helsinki; Finland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Balanced random environment, local limit theorem, Nash inequality
3.	Subject	Subject classification	60K37; 60F15, 82C41, 82D30, 35K15
4.	Description	Abstract	Central limit theorems for random walks in quenched random environments have attracted plenty of attention in the past years. More recently still, finer local limit theorems - yielding a Gaussian density multiplied by a highly oscillatory modulating factor - for such models have been obtained. In the one-dimensional nearest-neighbor case with i.i.d. transition probabilities, local limits of uniformly elliptic ballistic walks are now well understood. We complete the picture by proving a similar result for the only recurrent case, namely the balanced one, in which such a walk is diffusive. The method of proof is, out of necessity, entirely different from the ballistic case.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Academy of Finland
7.	Date	(YYYY-MM-DD)	2013-03-08
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/2336
10.	Identifier	Digital Object Identifier	10.1214/ECP.v18-2336
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 18
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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