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Which Product Measures are Dominated by a Given Random Field?

Probability

Speaker: Tom Liggett, UCLA
Location: 693 Kerr
Start time: Tue, Nov 9 2004, 3:10PM

Given a random field mu, one can ask the following question: For which densities rho does mu stochastically dominate the product measure with density rho? In this talk, I will give answers to this question for the contact stationary distribution, the Ising model, and exchangeable sequences. This problem is motivated by dependent percolation, and is joint work with Jeff Steif.