UMR 5672

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First-passage statistics of Markovian and non Markovian random walks

Raphaël Voituriez (LPTMC, Université Paris VI)
Quand ? Le 08/04/2019,
de 11:00 à 12:00
Où ? Amphi. Schrödinger
Participants Raphaël Voituriez
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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 determination of first-passage time statistics to a target site for a wide range of random processes in confined domains. I will show how these results can be extended to non Markovian processes, including ageing processes, which are often needed to model transport of active or passive particles in complex environments.

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