Konferenz: Symposium in Stochastics

Vortrag von Prof. Dr. Noam Berger

Datum: 20.04.09 Zeit: 14.00 - 00.00 Raum: Y27H25

For a class of models of random walk in random environment, we discuss the following problem: What is the probability that the particle moves at a speed significantly slower than its predicted asymptotic speed (to be explicit, we say less than half the predicted asymptotic speed)?

As it turns out, it is easy to give a lower bound for this probability, based on the so called "naive trap analysis". In dimension greater than or equal to 4, we show an upper bound for this probability which is very close to the lower bound obtained by the naive trap analysis. This improves previously known bounds.

As a tool for obtaining the main result, we also improve certain central limit theorem estimates for this process.

No prior familiarity with random walk in random environment will be assumed. All necessary concepts will be explained during the talk.