[Todos] Seminario de Probabilidad y Estadística Matemática.

[Pablo Groisman]

Seminario de Probabilidad y Estadística Matemática.

PROXIMO ENCUENTRO: Lunes 22 de Octubre, 11:30hs.
EXPOSITOR: Leonardo Rolla.
TITULO: Two-type particle systems with annihilation, Part III
LUGAR: Sala de seminarios del Dpto de Matemática, 2do piso, Pab 1.


RESUMEN: Consider the following interacting particle system with two
types of particles, A and B. Particles perform independent random
walks at rates D_A and D_B, and the interaction is given by mutual
annihilation, i.e., A+B->0. We show that this system is
site-recurrent. We also extend existing results on the lower bound for
the asymtotic density of particles at large times to general i.i.d.
initial states. Most notably we drop the condition that D_A=D_B, which
is a crucial assumption in previously known approaches for two-type
particle systems. Joint work with M. Cabezas and V. Sidoravicius.

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