Stuck Walks

Details Stuck Walks Stuck Walks

2010-11-04

arxiv.org/abs/1011.1103v1

Mathematics

Probability

Scientific paper

We investigate the asymptotic behaviour of a class of self-interacting nearest neighbour random walks on the one-dimensional integer lattice which are pushed by a particular linear combination of their own local time on edges in the neighbourhood of their current position. We prove that in a range of the relevant parameter of the model such random walkers can be eventually confined to a finite interval of length depending on the parameter value. The phenomenon arises as a result of competing self-attracting and self-repelling effects where in the named parameter range the former wins.

Affiliated with

Also associated with

No associations

Rating

Stuck 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 Stuck Walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stuck Walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145582