Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three

Details Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three

2009-10-07

arxiv.org/abs/0910.1169v2

Mathematics

Probability

21 pages. In this revised version, we corrected our computation of the variance of $D(B_1)$ for $d=2+1$ (page 11 of the old ve

Scientific paper

We consider the quenched and the averaged (or annealed) large deviation rate functions $I_q$ and $I_a$ for space-time and (the usual) space-only RWRE on $\mathbb{Z}^d$. By Jensen's inequality, $I_a\leq I_q$. In the space-time case, when $d\geq3+1$, $I_q$ and $I_a$ are known to be equal on an open set containing the typical velocity $\xi_o$. When $d=1+1$, we prove that $I_q$ and $I_a$ are equal only at $\xi_o$. Similarly, when d=2+1, we show that $I_a

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35701