Slow movement of a random walk on the range of a random walk in the presence of an external field

Details Slow movement of a random walk on the range of a random walk in the presence of an external field Slow movement of a random walk on the range of a random walk in the presence of an external field

2012-03-02

arxiv.org/abs/1203.0405v1

Mathematics

Probability

Scientific paper

In this article, a localisation result is proved for the biased random walk on the range of a simple random walk in high dimensions (d \geq 5). This demonstrates that, unlike in the supercritical percolation setting, a slowdown effect occurs as soon a non-trivial bias is introduced. The proof applies a decomposition of the underlying simple random walk path at its cut-times to relate the associated biased random walk to a one-dimensional random walk in a random environment in Sinai's regime.

Affiliated with

Also associated with

No associations

Rating

Slow movement of a random walk on the range of a random walk in the presence of an external field 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 Slow movement of a random walk on the range of a random walk in the presence of an external field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slow movement of a random walk on the range of a random walk in the presence of an external field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-166051