Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher

Details Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher

2009-03-02

arxiv.org/abs/0903.0410v2

Mathematics

Probability

17 pages. Minor revision. In particular, note the change in the title of the paper. To appear in Probability Theory and Relate

Scientific paper

10.1007/s00440-010-0261-3

We consider large deviations for nearest-neighbor random walk in a uniformly elliptic i.i.d. environment. It is easy to see that the quenched and the averaged rate functions are not identically equal. When the dimension is at least four and Sznitman's transience condition (T) is satisfied, we prove that these rate functions are finite and equal on a closed set whose interior contains every nonzero velocity at which the rate functions vanish.

Affiliated with

Also associated with

No associations

Rating

Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher 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 Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652283