Our next seminar will be held on Monday, December 1st, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time).  The meeting will take place at room C116- Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.

Speaker:   Phanuel Mariano (Union College)

Title: Spectral bounds, exit times and survival probability for stochastic processes

Abstract:

Given a domain in a metric measure space equipped with a Dirichlet form, we present results that relate the bottom of the spectrum to the exit time of the associated Hunt process from the domain. In particular, we establish spectral upper and lower bounds for the survival probability of the process. Our discussion covers both local processes (such as diffusions) and non-local processes (such as jump processes). Our results can be applied in a wide variety of settings such as manifolds, Carnot groups and fractals to name a few. This is joint work with Jing Wang (Purdue).

More complete information about the seminars can be found at

https://ppge.im.ufrj.br/seminarios-de-probabilidade/

Sincerely,

Organizers: Giulio Iacobelli and Maria Eulalia Vares