Mathematics > Probability
[Submitted on 21 Sep 2009 (v1), last revised 21 Sep 2010 (this version, v2)]
Title:Continuous time `true' self-avoiding random walk on Z
View PDFAbstract:We consider the continuous time version of the `true' or `myopic' self-avoiding random walk with site repulsion in 1d. The Ray-Knight-type method which was applied to the discrete time and edge repulsion case, is applicable to this model with some modifications. We present a limit theorem for the local time of the walk and a local limit theorem for the displacement.
Submission history
From: Bálint Vető [view email][v1] Mon, 21 Sep 2009 21:37:15 UTC (16 KB)
[v2] Tue, 21 Sep 2010 08:31:23 UTC (17 KB)
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