Header

UZH-Logo

Maintenance Infos

The drift of a one-dimensional self-avoiding random walk


König, W (1993). The drift of a one-dimensional self-avoiding random walk. Probability Theory and Related Fields, 96(4):521-543.

Abstract

We prove that a self-avoiding random walk on the integers with bounded increments grows linearly. We characterize its drift in terms of the Frobenius eigenvalue of a certain one parameter family of primitive matrices. As an important tool, we express the local times as a two-block functional of a certain Markov chain, which is of independent interest.

Abstract

We prove that a self-avoiding random walk on the integers with bounded increments grows linearly. We characterize its drift in terms of the Frobenius eigenvalue of a certain one parameter family of primitive matrices. As an important tool, we express the local times as a two-block functional of a certain Markov chain, which is of independent interest.

Statistics

Citations

5 citations in Web of Science®
6 citations in Scopus®
Google Scholar™

Altmetrics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1993
Deposited On:29 Nov 2010 16:29
Last Modified:05 Apr 2016 13:28
Publisher:Springer
ISSN:0178-8051
Publisher DOI:https://doi.org/10.1007/BF01200208
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1234622
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0792.60097

Download

Full text not available from this repository.
View at publisher