UBC Probability Seminar: Tom Hutchcroft
Topic
The scaling limit of high-dimensional percolation
Speakers
Details
I will give an overview of forthcoming work proving that large critical percolation clusters in high-dimensional lattices converge under rescaling to the expected universal limit object: superBrownian motion. A key step is to compute the first-order asymptotics of k-point connection probabilities, verifying a conjecture of Aizenman and Newman (1984). The proof relies on the lace expansion but is significantly simpler than previous approaches to scaling limits using the lace expansion.
Event Type
Scientific, Seminar
Date
November 27, 2024
Time
-
Location