43 citations · 217 across the 9 of their papers we have counts for
4 papers · 1 filter
Grassmann Integral Representation for Spanning Hyperforests
Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello
Given a hypergraph G, we introduce a Grassmann algebra over the vertex set, and show that a class of Grassmann integrals permits an expansion in terms of spanning hyperforests. Spe…
Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm
Youjin Deng, Timothy M. Garoni, Jonathan Machta +3
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Po…
How to clean a dirty floor: Probabilistic potential theory and the Dobrushin uniqueness theorem
Thierry de la Rue, Roberto Fernandez, Alan D. Sokal
Motivated by the Dobrushin uniqueness theorem in statistical mechanics, we consider the following situation: Let αbe a nonnegative matrix over a finite or countably infinite index…
Critical speeding-up in a local dynamics for the random-cluster model
Youjin Deng, Timothy M. Garoni, Alan D. Sokal
We study the dynamic critical behavior of the local bond-update (Sweeny) dynamics for the Fortuin-Kasteleyn random-cluster model in dimensions d=2,3, by Monte Carlo simulation. We…