Quick Search:

uzh logo
Browse by:
bullet
bullet
bullet
bullet

Zurich Open Repository and Archive

Bolthausen, E (1990). On self-repellent one-dimensional random walks. Probability Theory and Related Fields, 86(4):423-441.

Full text not available from this repository.

View at publisher

Abstract

We consider an ordinary one-dimensional recurrent random walk on ℤ. A self-repellent random walk is defined by changing the ordinary law of the random walk in the following way: A path gets a new relative weight by multiplying the old one with a factor 1-β for every self intersection of the path. 0<β<1 is a parameter.
It is shown that if the jump distribution of the random walk has an exponential moment and if β is small enough then the displacement of the endpoint is asymptotically of the order of the length of the path.

Citations

13 citations in Web of Science®
9 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

0 downloads since deposited on 21 May 2010
0 downloads since 12 months

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:self-repellent random walk; exponential moment
Language:English
Date:1990
Deposited On:21 May 2010 08:08
Last Modified:28 Nov 2013 00:01
Publisher:Springer
ISSN:0178-8051
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:10.1007/BF01198167
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0691.60060

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page