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Malin Palö: Color representations for threshold Gaussian and stable vectors

Time: Wed 2019-05-15 13.15 - 14.15

Location: 3418, Lindstedtsvägen 25, KTH Matematik

Participating: Malin Palö (Chalmers)

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I will discuss recent progress made on understanding the concept of divide and color models (FK-type representations) in the context of threshold Gaussian and threshold stable random vectors. The proofs use connections to the random cluster model of the Ising model, geometric representations of Gaussian vectors, discrete Gaussian free fields on metric graphs and the tail behavior of Gaussian and stable random vectors. Interestingly, we also find that for each stability index alpha in (0,2) there is a threshold stable random vector which exhibits a phase transition at alpha.