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Probabilistic methods in statistical physics for extreme statistics and rare events

First-passage times of Markovian and non-Markovian random walks

speaker: Olivier Bénichou (CNRS)

abstract: The first-passage time is a key quantity for evaluating the kinetics of various processes, and in particular chemical reactions involving "small" numbers of particles. A striking example is given by gene transcription, where specific proteins search for target sequences on DNA. I will present asymptotic results which enable the evaluation of the first-passage time statistics to a target site for a wide range of random processes in confined domains, and show how these results can be extended to non-Markovian processes, which are often needed to model transport in complex environments.

timetable:
Tue 18 Sep, 12:15 - 13:00, Aula Dini
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