Supercritical sharpness of percolation (Philip Easo, Unige, Geneva)

21.09.2026 16:15 – 18:00

Consider Bernoulli bond percolation on an infinite transitive graph. A classical result states that for each p < p_c, the probability that a given vertex belongs to a component of size at least n decays exponentially in n. Sahar Diskin, Ritvik Ramanan Radhakrishnan, Benny Sudakov, Vincent Tassion, and I have recently proved the analogous result for p > p_c. This was previously known in various special cases including Z^d.

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Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Math Physics"

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