29 citations · 78 across the 12 of their papers we have counts for
12 papers
Renewal properties of the Ising model
Marzio Cassandro, Immacolata Merola, Errico Presutti
We consider the Ising model with Kac potentials at inverse temperature where mean field predicts a phase transition with two possible equilibrium magnetization $\pm m_β…
Information transmission and criticality in the contact process
Marzio Cassandro, Antonio Galves, Eva Löcherbach
In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter To do this we defi…
Phase separation for the long range one--dimensional ising model
Marzio Cassandro, Immacolata Merola, Pierre Picco
We consider the phase separation problem for the one--dimensional ferromagnetic Ising model with long--range two--body interaction, $J(n)=n^{-2+\a}$ where denotes the dis…
Highly anisotropic scaling limits
Marzio Cassandro, Matteo Colangeli, Errico Presutti
We consider a highly anisotropic Ising spin model whose precise definition can be found at the beginning of Section 2. In this model the spins on a same horizontal line (laye…
Phase Transitions in Ferromagnetic Ising Models with spatially dependent magnetic fields
Rodrigo Bissacot, Marzio Cassandro, Leandro Cioletti +1
In this paper we study the nearest neighbor Ising model with ferromagnetic interactions in the presence of a space dependent magnetic field which vanishes as , , as…
Partially observed Markov random fields are variable neighborhood random fields
Marzio Cassandro, Antonio Galves, Eva Loecherbach
The present paper has two goals. First to present a natural example of a new class of random fields which are the variable neighborhood random fields. The example we consider is a…