On the large deviations and exit point for the diffusion approximation of jump processes: Markov vs. Langevin

old_uid4967
titleOn the large deviations and exit point for the diffusion approximation of jump processes: Markov vs. Langevin
start_date2008/05/30
schedule09h30
onlineno
summaryIn the fluid limit set-up, pure jump Markov processes follow a central limit theorem that leads to the so-called diffusion or Langevin approximation. Here we compare the large deviations between the jump process and its approximation for the problem of escape from a domain. In dimension one, we exhibit an example with a domain a, b where the jump process asymptotically escapes from a and its approximation from b.
responsiblesBourgine