First-passage statistics of Markovian and non Markovian random walks
Raphaël Voituriez (LPTMC, Université Paris VI)
| When |
Apr 08, 2019
from 11:00 to 12:00 |
|---|---|
| Where | Amphi. Schrödinger |
| Attendees |
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.