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 in complex environments.
Un café sera servi à 11h dans le Hall de l'amphi Claude Bloch