[Todos] Recordatorio: Seminario de Probabilidad

[Ines Armendariz]

Mañana, miércoles 18 de junio, hablará Ilie Grigorescu en el Seminario
de Probabilidad del Departamento de Matemática.

Están todos cordialmente invitados.

Fecha: miércoles 18 de junio, 12:00 horas.

Lugar: Aula de Seminarios, 2do Piso, Departamento de Matemática, Pabellón 1.

Expositor: Ilie Grigorescu, University of Miami

Título: Long time behavior of a Fleming-Viot particle system

Resumen: We discuss a general class of stochastic processes obtained from a
given Markov process whose behavior is modified upon contact with a
catalyst, from the perspective of a particle system that undergoes
branching with conservation of mass (Fleming-Viot mechanism). In the F-V
case for diffusions with hard catalyst (equal to the boundary of an open
set), one of the most difficult questions is whether the system is
non-explosive, which is proven for non smooth domains, including Lipschitz.
We explain the relation of the process and its scaling limits to the
existence of quasi-stationary distributions and their simulation. Large
deviations for the soft catalyst case will be discussed if time permits.
Joint work in part with Min Kang (NCSU).
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