26 марта (Чт) в 18:30 (МСК) на Большом семинаре CombGeoLab выступит Sahar Diskin
Title: Supercritical sharpness of percolation
Abstract: Given an infinite transitive graph (such as the standard lattice Z^d), build a random subgraph by independently including each edge with probability p. This model undergoes a phase transition as p varies across the critical value p_c marking the emergence of an infinite component. A fundamental result is that for any fixed p<p_c, the probability that a given vertex is in a component of size at least n decays exponentially with n. We will prove the analogous result for the supercritical regime, p>p_c.
Based on a (very recent) joint work with Easo, Ramanan-Radhakrishnan, Sudakov, and Tassion.
Ссылка на доклад:
https://us02web.zoom.us/j/82214467974?pwd=9bbtIr8GMwIQ6cQmgacqdeDhL6IAhn.1
Post #18
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