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SYAD: Symposium Anomalous Diffusion in Complex Environments

SYAD 1: Anomalous Diffusion in Complex Environments

SYAD 1.2: Hauptvortrag

Donnerstag, 10. März 2016, 15:30–16:00, H15

First-passage times of Markovian and non Markovian random walks in confinement — •raphael Voituriez — CNRS/ Université Pierre et Marie Curie, Paris, France

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 distribution of the first-passage time 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.