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Probability and Combinatorics

Tuesday, February 14, 2023 - 3:30pm

Yu Gu

University of Maryland, College Park

Location

University of Pennsylvania

DRL 4C4

I will present the recent work with Tomasz Komorowski and Alex Dunlap in which we derived optimal variance bounds on the solution to the KPZ equation on a large torus, in certain regimes where the size of the torus increases with time. We only use stochastic calculus and I will try to give a heuristic explanation of the 2/3 and 1/3 exponents in the 1+1 KPZ universality class.