413 citations · 4.6k across the 113 of their papers we have counts for
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Finite-temperature phase transition in a class of 4-state Potts antiferromagnets
Youjin Deng, Yuan Huang, Jesper Lykke Jacobsen +2
We argue that the 4-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree…
The leading root of the partial theta function
Alan D. Sokal
I study the leading root x_0(y) of the partial theta function Θ_0(x,y) = \sum_{n=0}^\infty x^n y^{n(n-1)/2}, considered as a formal power series. I prove that all the coefficients…
Dynamic Critical Behavior of the Chayes-Machta Algorithm for the Random-Cluster Model. I. Two Dimensions
Timothy M. Garoni, Giovanni Ossola, Marco Polin +1
We study, via Monte Carlo simulation, the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wan…
Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians
Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello
The classic Cayley identity states that \det(\partial) (\det X)^s = s(s+1)...(s+n-1) (\det X)^{s-1} where X=(x_{ij}) is an n-by-n matrix of indeterminates and \partial=(\partial/\p…