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The strong interaction limit of continuous-time weakly self-avoiding walk
conference contribution
posted on 2023-06-09, 17:13 authored by David C Brydges, Antoine DahlqvistAntoine Dahlqvist, Gordon SladeThe strong interaction limit of the discrete-time weakly self-avoiding walk (or Domb–Joyce model) is trivially seen to be the usual strictly self-avoiding walk. For the continuous-time weakly self-avoiding walk, the situation is more delicate, and is clarified in this paper. The strong interaction limit in the continuous-time setting depends on how the fugacity is scaled, and in one extreme leads to the strictly self-avoiding walk, in another to simple random walk. These two extremes are interpolated by a new model of a self-repelling walk that we call the “quick step” model. We study the limit both for walks taking a fixed number of steps and for the two-point function.
History
Publication status
- Published
File Version
- Submitted version
Journal
Probability in Complex Physical SystemsISSN
2190-5614Publisher
Springer Berlin HeidelbergExternal DOI
Volume
11Page range
275-287Event name
Workshop on Probabilistic Techniques in Statistical Mechanics Celebrating the 65th Birthday of Erwin BolthausenEvent location
Berlin, GermanyEvent type
workshopEvent date
October 14–16, 2010Place of publication
BerlinISBN
9783642238109Series
Springer Proceedings in MathematicsDepartment affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
Full text available
- No
Peer reviewed?
- Yes
Editors
Jean-Dominique Deuschel, Max von Renesse, Barbara Gentz, Michael Scheutzow, Wolfgang König, Uwe SchmockLegacy Posted Date
2019-03-25Usage metrics
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