Limiting distributions of Spherical and Spin O(N) models: Appearance of GFF.

Resumen:   Spherical model is a mathematical model of a ferromagnet introduced by Berlin and Kac in 1952 as a rough but analytically convenient modification of the Ising model. Since its inception it has enjoyed considerable popularity among the mathematicians and physicists as an exactly soluble model exhibiting a phase transition. In this talk we will explain its relation to the Gaussian free field in the infinite volume limit and to the spin O(N) model in the infinite spin-dimensionality limit of the latter.

Posted on Jul 8, 2024 in Seminario de Probabilidades de Chile, Seminars