Explicit Bounds for the Return Probability of Simple Random Walks

Karen Ball () and Jacob Sterbenz ()
Additional contact information
Karen Ball: University of Minnesota
Jacob Sterbenz: Princeton University

Journal of Theoretical Probability, 2005, vol. 18, issue 2, 317-326

Abstract: Abstract We give an exact computation of the second order term in the asymptotic expansion of the return probability, P 2n d (0,0), of a simple random walk on the d-dimensional cubic lattice. We also give an explicit bound on the remainder. In particular, we show that P 2n d (0,0)

Keywords: Simple random walk; random walk; return probability; asymptotic probability (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-003-2606-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:18:y:2005:i:2:d:10.1007_s10959-003-2606-7

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-003-2606-7

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().