Buongiorno a tutti,

Vorremmo segnalarvi che venerdì prossimo (30 Maggio) alle ore 14:30 in aula 2AB30 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:

Vanessa Jacquier (Università di Padova)

Title: Discrete Nonlocal Isoperimetric Inequality and Analysis of the Long-Range Bi-Axial Ising Model

Date: May 30, 2025, at 14:30, 2BC30

Abstract: We consider a generalization of the classical perimeter, referred to as the nonlocal bi-axial discrete perimeter, in which not only the external boundary of a polyomino contributes to the perimeter, but all its internal and external components. In particular, this nonlocal bi-axial perimeter is a fractional function that depends on the shape of the given geometrical figure and on a parameter λ>1, which accounts for the long-range effect. We tackle the nonlocal discrete isoperimetric problem analyzing and characterizing the minimizers within the class of polyominoes with a fixed area. The solution of this isoperimetric problem provides a rigorous foundation for studying the metastable behavior of the long-range bi-axial Ising model.

Vi aspettiamo numerosi!

Alberto Chiarini e Alekos Cecchin

Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/