Rodrigo Bissacot
University of São Paulo
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Publication
Featured researches published by Rodrigo Bissacot.
Combinatorics, Probability & Computing | 2011
Rodrigo Bissacot; Roberto Fernández; Aldo Procacci; Benedetto Scoppola
An old result by Shearer relates the Lovasz local lemma with the independent set polynomial on graphs, and consequently, as observed by Scott and Sokal, with the partition function of the hard-core lattice gas on graphs. We use this connection and a recent result on the analyticity of the logarithm of the partition function of the abstract polymer gas to get an improved version of the Lovasz local lemma. As an application we obtain tighter bounds on conditions for the existence of Latin transversal matrices.
Journal of Statistical Physics | 2010
Rodrigo Bissacot; Leandro Cioletti
In this article we study the phase transition phenomenon for the Ising model under the action of a non-uniform external magnetic field. We show that the Ising model on the hypercubic lattice with a summable magnetic field has a first-order phase transition and, for any positive (resp. negative) and bounded magnetic field, the model does not present the phase transition phenomenon whenever lim inf hi>0, where
Communications in Mathematical Physics | 2015
Rodrigo Bissacot; Marzio Cassandro; Leandro Cioletti; Errico Presutti
\mathbf{h}=(h_{i})_{i\in \mathbb{Z}^{d}}
Ergodic Theory and Dynamical Systems | 2014
Rodrigo Bissacot; Ricardo Dos Santos Freire
is the external magnetic field.
Ergodic Theory and Dynamical Systems | 2018
Rodrigo Bissacot; Eduardo Garibaldi; Philippe Thieullen
In this paper we study the nearest neighbor Ising model with ferromagnetic interactions in the presence of a space dependent magnetic field that vanishes as
Communications in Mathematical Physics | 2018
Rodrigo Bissacot; Eric Ossami Endo; Aernout C. D. van Enter; Arnaud Le Ny
Annales Henri Poincaré | 2018
Rodrigo Bissacot; Eric Ossami Endo; Aernout C. D. van Enter; Bruno Kimura; Wioletta M. Ruszel
{|x|^{-\alpha}}
Letters in Mathematical Physics | 2017
Noga Alon; Rodrigo Bissacot; Eric Ossami Endo
Journal of Statistical Physics | 2010
Rodrigo Bissacot; Roberto Fernández; Aldo Procacci
|x|-α,
Bulletin of The Brazilian Mathematical Society | 2010
Rodrigo Bissacot; Eduardo Garibaldi