Il giorno Giovedi 13 Marzo alle ore 16 presso il GSSI (Gran Sasso Science
Institute, L'Aquila) la Prof. *Inés
Armendariz *del Dipartimento di Matematica dell'Università di Buenos
Airesterrà il seguente seminario:
*Title*: Scaling limit of the condensate dynamics in the zero-range
process
*Abstract*:
We consider the zero-range process on the one dimensional torus with L
sites and N particles, in the supercritical regime when N=L exceeds the
critical density. It is known that in the stationary state, as L goes to
infinity, the excess particles accumulate at a randomly chosen position,
forming the condensate. We now show that, at the right scale, this
condensates moves according to a Lévy process on
the rescaled torus, with rates determined by the jump distribution of the
original zero range process. For instance, for nearest neighbour
probabilities, the limiting Lévy process will have rates inversely
proportional to the jump length.
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