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Mathematics Colloquium - Spring 2011

Thursday, February 17th, 2011
10:00am - 11:00am, in Campus Center 2-2540

Renormalization Group Approach to 2D Probabilistic Models

Abstract: Many two-dimensional lattice models of Statistical Mechanics can be re-casted as a system of 'interacting fermions': Ising, 6-vertex, 8-vertex, Ashkin-Teller, q-States Potts, Hubbard (d=1+1) , XYZ quantum chain (d=1+1), etc. In the seminar I will discuss some works in collaboration with G.Benfatto and V. Mastropietro in which we use (rigorous) renormalization group approach to study, in some of the above models, the critical exponents of the second order phase transition.




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