Seminar Analysis: Daniel Ueltschi (University of Warwick)

From condensed matter physics to probability theory

The basic laws governing atoms and electrons are well understood, but it is impossible to make predictions about the behaviour of large systems of condensed matter physics. A popular approach is to introduce simple models and to use notions of statistical mechanics. I will review quantum spin systems and their stochastic representations in terms of random permutations and random loops. I will also describe the ‘universal’ behaviour that is common to loop models in dimensions 3 and more. 

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