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.