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Scaling limits of critical percolation on high dimensional latticesTitle to be confirmed

Hosted by Probability

Tuesday 10 November 2026, 14:00Venue time (London)
MR12
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Speaker: Arthur-Blanc Renaudie
Series: Probability

Consider Bernoulli bond percolation on Z^d, d>6, assuming eta=0. In this talk I will show that large critical clusters, as their size diverge, converge in distribution toward continuum random trees and super Brownian motions. The proof is based on a method of moments, that is established by gluing IIC (infinite incipient clusters) to create multi-arms IIC and various counting scheme.

Based on a joint work with Tom Hutchcroft.

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