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

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

2009-09-21

arxiv.org/abs/0909.3863v2

Mathematics

Probability

17 pages

Scientific paper

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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