Hoffman, Christopher, Richey, Jacob and Rolla, Leonardo T. (2023) Active phase for Activated Random Walk on Z. Communications in Mathematical Physics, 399 . pp. 717-735. doi:10.1007/s00220-022-04572-x ISSN 0010-3616.

PDF WRAP-Active-phase-for-Activated-Random-Walk-on-Z-Rolla-2022.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only until 23 November 2023. Contact author directly, specifying your specific needs. - Requires a PDF viewer. Download (524Kb)

Request Changes to record.

Abstract

We consider the Activated Random Walk model on Z. In this model, each particle performs a continuous-time simple symmetric random walk, and falls asleep at rate λ. A sleeping particle does not move but it is reactivated in the presence of another particle. We show that for any sleep rate λ<∞ if the density ζ is close enough to 1 then the system stays active.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH):	Random walks (Mathematics), Abelian groups, Markov processes
Journal or Publication Title:	Communications in Mathematical Physics
Publisher:	Springer
ISSN:	0010-3616
Official Date:	April 2023
Dates:	Date Event April 2023 Published 23 November 2022 Available 6 November 2022 Accepted
Volume:	399
Page Range:	pp. 717-735
DOI:	10.1007/s00220-022-04572-x
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	16 January 2023
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID DMS-1712701 [NSF] National Science Foundation (US) http://dx.doi.org/10.13039/100000001 DMS-1444084 [NSF] National Science Foundation (US) http://dx.doi.org/10.13039/100000001 DMS-1712701 [NSF] National Science Foundation (US) http://dx.doi.org/10.13039/100000001

Request changes or add full text files to a record

Repository staff actions (login required)

View Item