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

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.

17 pages

References in corpus (1)

• Self-repelling random walk with directed edges on Z

Cited by in corpus (2)

• Central Limit Theorem for the self-repelling random walk with directed edges
• Self-avoiding quantum walks