Some properties of the rate function of quenched large deviations for random walk in random environment

Details Some properties of the rate function of quenched large deviations for random walk in random environment Some properties of the rate function of quenched large deviations for random walk in random environment

2005-02-15

arxiv.org/abs/math/0502316v1

Mathematics

Probability

Scientific paper

In this paper, we are interested in some questions of Greven and den Hollander about the rate function $I\_{\eta}^q$ of quenched large deviations for random walk in random environment. By studying the hitting times of RWRE, we prove that in the recurrent case, $\lim\_{\theta\to 0^+}(I\_{\eta}^q)''(\theta)=+\infty$, which gives an affirmative answer to a conjecture of Greven and den Hollander. We also establish a comparison result between the rate function of quenched large deviations for a diffusion in a drifted Brownian potential, and the rate function for a drifted Brownian motion with the same speed.

Affiliated with

Also associated with

No associations

Rating

Some properties of the rate function of quenched large deviations for random walk in random environment 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 Some properties of the rate function of quenched large deviations for random walk in random environment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some properties of the rate function of quenched large deviations for random walk in random environment will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-242858