29 citations · 221 across the 34 of their papers we have counts for
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math.CO2009★ 18 cited
An Improvement of the Lovász Local Lemma via Cluster Expansion
Rodrigo Bissacot, Roberto Fernández, Aldo Procacci +1
An old result by Shearer relates the Lovász Local Lemma with the independent set polynomial on graphs, and consequently, as observed by Scott and Sokal, with the partition function…
math-ph2009★ 9 cited
Clustering Bounds on N-Point Correlations for Unbounded Spin Systems
Abdelmalek Abdesselam, Aldo Procacci, Benedetto Scoppola
We prove clustering estimates for the truncated correlations, i.e., cumulants of an unbounded spin system on the lattice. We provide a unified treatment, based on cluster expansion…
math.PR2009★ 20 cited
Condenser physics applied to Markov chains - A brief introduction to potential theory
A. Gaudilliere
These notes constitute the introduction to potential theory I exposed at the XIIth brazilian school of probability inside Elisabetta Scoppola's Introduction to Metastability.