7 citations · 7 across the 2 of their papers we have counts for
4 papers
On Kirkwood-Salsburg solutions at criticality
Rogério Gomes Alves
In this work we study the Kirkwood-Salsburg equations of equilibrium classical continuous systems. We prove a Laurent expansion for the resolvent, at an eigenvalue of largest modul…
A local lemma via entropy compression
Rogério G. Alves, Aldo Procacci, Remy Sanchis
In the framework of the probabilistic method in combinatorics, we revisit the entropy compression method clarifying the setting in which it can be applied and providing a theorem y…
Witness trees in the Moser-Tardos algorithmic Lovász Local Lemma and Penrose trees in the hard core lattice gas
Rogério Gomes Alves, Aldo Procacci
We point out a close connection between the Moser-Tardos algorithmic version of the Lovász Local Lemma, a central tool in probabilistic combinatorics, and the cluster expansion of…
Percolation on infinite graphs and isoperimetric inequalities
Rogério G. Alves, Aldo Procacci, Remy Sanchis
We consider the Bernoulli bond percolation process (with parameter ) on infinite graphs and we give a general criterion for bounded degree graphs to exhibit a non-trivial percol…