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arXiv · 0909.3863

Continuous time `true' self-avoiding random walk on Z

Balint Toth·Balint Veto
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Abstract

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.

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Balint Toth, Balint Veto. 2009-09-21. Continuous time `true' self-avoiding random walk on Z. https://arxiv.org/abs/0909.3863

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