[Todos] Seminario de Probabilidad y Estadística Matemática

[Pablo Groisman]

Seminario de Probabilidad y Estadística Matemática.

PROXIMO ENCUENTRO: Miércoles 3 de Octubre, 12:00hs.
EXPOSITOR: Inés Armendáriz
TITULO: Metastability for zero-range condensation in the thermodynamic limit.

LUGAR: Instituto de Cálculo, 2do piso, Pabellón 2.

RESUMEN: Consider a symmetric zero range process on the
one-dimensional, discrete L site torus with N particles and jump rates
g(n) = 1 + b/n; b > 3. When N/L is larger than critical density, in
the stationary regime the excess number of particles accumulates at a
randomly distributed location, called the condensate. We show here
that in the limit when L goes to infinity, as we rescale time by
L^{1+b} and space by 1/L, the condensate evolves on the torus T as a L
evy process with rates determined by the limiting capacities of the
underlying random walk.

This is joint work with S. Grosskinsky and M. Loulakis.
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