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