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math.PR2004
Slab Percolation and Phase Transitions for the Ising Model
Emilio De Santis, Rossella Micieli
We prove, using the random-cluster model, a strict inequality between site percolation and magnetization in the region of phase transition for the d-dimensional Ising model, thus i…
math.PR2004
Change point models and conditionally pure birth processes; an inequality on the stochastic intensity
Emilio De Santis, Fabio Spizzichino
We analyze several aspects of a class of simple counting processes, that can emerge in some fields of applications where the presence of a change-point occurs. Under simple conditi…
math.PR2004
Perfect simulation for unilateral fields
Emilio De Santis, Mauro Piccioni
In this paper we consider two-point unilateral Markov fields on a two-dimensional lattice as considered by Pickard, Galbraith and Walley. We show that, under various ergodicity con…