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Informal Probability Workshop Week 4: Random loop models – conjectures and results

30 Oct 17

Speaker:  Costanza Benassi, Department of Mathematics, Warwick

Abstract:  Random loop models appear in a great variety of situations in both the probability and mathematical physics literature. Recently some striking conjectures have been suggested about the appearance of extended loops and the distribution of their lengths, which is expected to be a member of the Poisson Dirichlet distribution family.  We propose a general class of models for interacting loops on a  lattice, and we investigate how to validate these conjecture exploiting their relationship with a generalised random current model.