Michael Aizenman, Princeton University. 

Jueves 22/12, 15 hs. Aula 1101 del edificio cero + infinito.

Michael Aizenman es un físico matemático consagrado. En esta oportunidad va a hablar del modelo de Ising, de gran relevancia en física estadística y en probabilidad. Aizenman participó de avances espectaculares sobre este modelo, algunos muy recientes.

Abstract. The Ising spin model is perhaps the most studied model of cooperative systems.  While manifestly over simplified, it captures surprisingly well a number of aspects of observed phase structures and phase transitions.  Among those are refined dimension-dependent features which are observed critical points, and are expressed in the systems 'critical exponents. The model's mathematics studies have led to techniques that link it with a range of other systems, among which are percolation models, two dimensional conformally-invariant "loop-soups", quantum spin chains, and quantum field theory.  The talk will present different formulations of the model’s partition function, exposing different facets of the model.