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math-ph2020
On boundary correlations in planar Ashkin-Teller models
Marcin Lis
We generalize the switching lemma of Griffiths, Hurst and Sherman to the random current representation of the Ashkin-Teller model. We then use it together with properties of two-di…
math-ph2018
Spin systems from loop soups
Tim van de Brug, Federico Camia, Marcin Lis
We study spin systems defined by the winding of a random walk loop soup. For a particular choice of loop soup intensity, we show that the corresponding spin system is reflection-po…