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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.PR2020
On delocalization in the six-vertex model
Marcin Lis
We show that the six-vertex model with parameter on a square lattice torus has an ergodic infinite-volume limit as the size of the torus grows to infinity. Moreo…