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A 2D system of random loops with projections onto different classical and quantum spin chain models

Probability

Speaker: Michael Aizenman, Princeton
Related Webpage: https://scholar.princeton.edu/aizenman/
Location: Cancelled
Start time: Wed, Jan 20 2021, 4:10PM

Different forms of symmetry breaking, exhibited in distinct families of quantum spin chains, can be viewed as reflections of a phase transition in a common loop system, one associated also with a classical Q-state random cluster model. As it turns out, these three different classical / quantum models are best understood when studied together.

(Talk based on a joint work with H. Duminil-Copin and S. Warzel, and an earlier one with B. Nachtergaele.)