Buongiorno a tutti,
abbiamo il piacere di annunciare il secondo appuntamento del ciclo mensile di seminari online promosso dal Gruppo UMI PRISMA.
Lunedi’ 1 marzo 2021, ore 16-18
Alessandra Faggionato Titolo: Random resistor networks and Mott’s variable range hopping
Abstract: Random resistor networks allow to study electron transport indisordered systems. By means of stochastic homogenization one can characterize the infinite volume effective conductivity in terms of the homogenized matrix of suitable discrete Poisson equations. We will then focus on the low temperature behavior of the random conductance model and the Miller-Abrahams random resistor network. The latter models the so-called Mott’s variable range hopping, a fundamental transport mechanism in disordered solids in the regime of strong Anderson localization. We will discuss its percolative properties and show how homogenization, percolation and scaling arguments lead to Mott’s law. (For the percolation part, the talk is based on joint works with H.A. Mimun).
Elisabetta Candellero Titolo: Competition processes on hyperbolic non-amenable graphs
Abstract: We consider two first-passage percolation processes, FPP_1 and FPP_\lambda, spreading with rates 1 and \lambda respectively, on a graph G with bounded degree. FPP_1 starts from a single source, while the initial configuration of FPP_\lambda consists of countably many seeds distributed according to a product of iid Bernoulli random variables of parameter \mu on the set of vertices. This model is known as "First passage percolation in a hostile environment" (FPPHE), and was introduced by Stauffer and Sidoravicius as an auxiliary model for investigating a notoriously challenging model called Multiparticle Diffusion Limited Aggregation. We consider several questions about FPPHE, focusing on the case when G is a non-amenable hyperbolic graph. This talk is based on joint works with Alexandre Stauffer.
Collegamento Teams:
https://teams.microsoft.com/l/meetup-join/19%3ameeting_YjVhZDc3MDctZTU1NC00Y...
Tutte le informazioni le trovate anche alla pagina:
http://www.umi-prisma.polito.it/webinars.html
Grazie per l’attenzione,
Claudia Ceci e Domenico Marinucci
**************************************** Claudia Ceci Dipartimento di Economia Universita' "G. d'Annunzio" V.le Pindaro 42 65127, Pescara, ITALY c.ceci@unich.it ****************************************