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Seminários do IMPA

Probabilidade e Combinatória

Título
Metastability of zero range processes via Poisson equations
Expositor
Chanwoo Oh

IMPA
Data
Quarta-feira, 4 de setembro de 2019, 15:30
Local
Sala 232
Resumo

Certain zero range processes on a finite set exhibits metastability. Most of the time, nearly all particles of the zero range process are at one single site. The site of condensate asymptotically behaves as a Markov chain. This result was proven by using the martingale approach for both reversible and non-reversible cases. In this talk, we prove the metastabiliy of zero range processes on a finite set with an approach using the Poisson equation. This approach doesn't need precise estimates of capacities and can be applied for both reversible and non-reversible cases. This talk based on the joint work with F. Rezakhanlou.