Il giorno Giovedi 13 Marzo alle ore 16 presso il GSSI la Prof. In�s Armendariz del Dipartimento di Matematica dell'Universit� di Buenos Aires terr� 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 L�vy 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 L�vy process will have rates inversely proportional� to the jump length.