Ballistic Phase of Self-Interacting Random Walks

Details Ballistic Phase of Self-Interacting Random Walks Ballistic Phase of Self-Interacting Random Walks

2007-10-16

arxiv.org/abs/0710.3095v2

"Analysis and stochastics of growth processes and interface models", Oxford: Oxford Univ. Press (2008) , p. 55--79

Mathematics

Probability

One picture and a few annoying typos corrected. Version to be published

Scientific paper

10.1093/acprof:oso/9780199239252

We explain a unified approach to a study of ballistic phase for a large family of self-interacting random walks with a drift and self-interacting polymers with an external stretching force. The approach is based on a recent version of the Ornstein-Zernike theory developed in earlier works. It leads to local limit results for various observables (e.g. displacement of the end-point or number of hits of a fixed finite pattern) on paths of n-step walks (polymers) on all possible deviation scales from CLT to LD. The class of models, which display ballistic phase in the "universality class" discussed in the paper, includes self-avoiding walks, Domb-Joyce model, random walks in an annealed random potential, reinforced polymers and weakly reinforced random walks.

Affiliated with

Also associated with

No associations

Rating

Ballistic Phase of Self-Interacting Random Walks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ballistic Phase of Self-Interacting Random Walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ballistic Phase of Self-Interacting Random Walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714518