Another proof of $p_c = \frac{\sqrt{q}}{1+\sqrt{q}}$ on $\mathbb{Z}^2$ with $q \in [1,4]$ for random-cluster model

Publication date: 9 December 2018

Abstract: In this paper we give another proof of

p_{c} = f r a c s q r t q 1 + s q r t q

on

m a t h b b Z^{2}

with

q i n [1, 4]

, based on the method of parafermionic observables.

Mathematics Subject Classification ID

Percolation (82B43)

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