31 citations · 144 across the 27 of their papers we have counts for
4 papers · 1 filter
Entropy Compression Method and Legitimate Colorings in Projective Planes
Rodrigo Bissacot, Luís Doin
We prove that the entropy compression method systematized by L. Esperet and A. Parreau [11] can be applied to any problem formulated in the variable version of the Lovász Local Lem…
Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields
Rodrigo Bissacot, Eric O. Endo, Aernout C. D. van Enter +2
We consider ferromagnetic long-range Ising models which display phase transitions. They are long-range one-dimensional Ising ferromagnets, in which the interaction is given by $J_{…
Entropic repulsion and lack of the -measure property for Dyson models
Rodrigo Bissacot, Eric Ossami Endo, Aernout C. D. van Enter +1
We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not -measures. The…
Dyson models under renormalization and in weak fields
R. Bissacot, E. O. Endo, A. C. D. van Enter +3
We consider one-dimensional long-range spin models (usually called Dyson models), consisting of Ising ferromagnets with slowly decaying long-range pair potentials of the form $\fra…