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Displaying similar documents to “Stochastic domination : the contact process, Ising models and FKG measures”

Dynamical Percolation

Olle Häggström, Yuval Peres, Jeffrey E. Steif (1997)

Annales de l'I.H.P. Probabilités et statistiques

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Couplings, attractiveness and hydrodynamics for conservative particle systems

Thierry Gobron, Ellen Saada (2010)

Annales de l'I.H.P. Probabilités et statistiques

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Attractiveness is a fundamental tool to study interacting particle systems and the basic coupling construction is a usual route to prove this property, as for instance in simple exclusion. The derived markovian coupled process ( , )≥0 satisfies: (A) if 0≤0 (coordinate-wise), then for all ≥0, ≤ a.s. In this paper, we consider generalized misanthrope models which are conservative particle systems on ℤ such that, in each transition,...

Determinantal probability measures

Russell Lyons (2003)

Publications Mathématiques de l'IHÉS

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Determinantal point processes have arisen in diverse settings in recent years and have been investigated intensively. We study basic combinatorial and probabilistic aspects in the discrete case. Our main results concern relationships with matroids, stochastic domination, negative association, completeness for infinite matroids, tail triviality, and a method for extension of results from orthogonal projections to positive contractions. We also present several new avenues for further investigation,...