Navegando por Autor "Procacci, Aldo"

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    Entropy compression versus Lovász Local Lemma.
    (2021) Alves, Rogério Gomes; Procacci, Aldo; Sanchis, Remy Paiva
    In the framework of the probabilistic method in combinatorics, we provide a systematization of the entropy compression method clarifying the setting in which it can be applied and providing a theorem yielding a general constructive criterion. We finally elucidate, through topical examples, the effectiveness of the entropy-compression criterion in comparison with the Lovász Local Lemma criterion and, in particular, with the improved criterion based on cluster expansion.
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    On Lennard–Jones type potentials and hard-core potentials with an attractive tail.
    (2014) Pinto, Thiago Morais; Procacci, Aldo; Scoppola, Benedetto
    We revisit an old tree graph formula, namely the Brydges–Federbush tree identity, and use it to get new bounds for the convergence radius of the Mayer series for gases of continuous particles interacting via non-absolutely summable pair potentials with an attractive tail including Lennard–Jones type pair potentials.