[Todos] Seminario EMEA

[Pablo Groisman]

Seminario de Estadistica, Modelizacion Estocastica y Aplicaciones (EMEA)

Proximo encuentro: Miercoles 16 de julio.

EXPOSITOR: Leonardo Rolla, Universidade de Sao Paulo
TITULO: Phase Transition for Activated Random Walk Models
LUGAR: INSTITUTO DE CALCULO
HORA: 12 hs.

RESUMEN
The model of activated random walks evolves as follows. On Z^d, at
time zero there is an iid number of active particles whose expectation
is mu. Each particle performs a continuous-time random walk with rate
one. When a particle is found alone at some site, it will change its
state from active to inactive when an exponential clock of rate lambda
rings. Once a particle is inactive, it no longer jumps. When some
other particle jumps into the same site, the particle becomes active
again. A natural conjecture is that for low mu the system locally
fixates and for large mu there is no fixation. We identify the
important varibales that charactherize fixation and are monotone on
the parameters and introduce an explicit graphical representation that
couples these variables in the appropriate way. Such representation
has a very useful comutativity property that favors algorithmic
approaches. With this method we prove that there is a (unique) phase
transition for the one-dimensional finite-range random walk. Joint
work with V. Sidoravicius.


Quedan todos cordialmente invitados
Pablo Groisman - Mariela Sued

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