Ho il piacere di invitarvi al seguente seminario, che si terrà Lunedì 20 Marzo, alle 14:15, in aula 1BC45 della Torre Archimede presso il Dipartimento di Matematica dell'Università degli Studi di Padova.
SPEAKER: Francesca Nardi
AFFILIATION: Università di Firenze
TITLE: Hitting Time Asymptotics for Hard-Core Interactions on Grids
ABSTRACT: We consider the hard-core model with Metropolis transition probabilities on finite grid graphs and investigate the asymptotic behavior of the first hitting time between its two maximum-occupancy configurations in the low-temperature regime. In particular, we show how the order-of-magnitude of this first hitting time depends on the grid sizes and on the boundary conditions by means of a novel combinatorial method. Our analysis also proves the asymptotic exponentiality of the scaled hitting time and yields the mixing time of the process in the low-temperature limit as side-result. In order to derive these results, we extended the model-independent framework in Manzo et al. (J Stat Phys 115(1/2):591–642, 2004) for first hitting times to allow for a more general initial state and target subset.
Work in collaboration with A. Zocca S. C. Borst
Paolo Dai Pra Dipartimento di Matematica Via Trieste, 63 35121 Padova Tel. +39 0498271361 Fax +39 0498271428 daipra@math.unipd.it