A new proof of exponential decay in Bernoulli percolation (Hugo Vanneuville, Grenoble)

27.11.2023 16:15 – 18:15

Abstract:
Bernoulli percolation of parameter p on Z^d is defined by deleting each edge of Z^d with probability 1-p, independently of the other edges. The exponential decay theorem (for the volume) is the following result (proven in the 80's): If the volume of the cluster of 0 is a.s. finite at some parameter p, then it has an exponential moment at any parameter q

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Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Maths-Physique"

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