Fluctuations of solutions to the KPZ equation on a large torus

par Alexander Dunlap

jeudi 13 janv. 2022, 16:00 → 17:00 Europe/Paris

BBB (UMPA)

I will discuss proofs of optimal (up to constants) variance bounds on the solutions to the KPZ equation on a torus, as the time scale and the size of the torus are taken to infinity together, in the super-relaxation regime and part of the relaxation regime. The arguments are based on stochastic analysis and do not use a connection to a discrete system. Joint work with Yu Gu and Tomasz Komorowski.