Seminar series
Date
Wed, 05 Nov 2025
11:00
11:00
Location
L4
Speaker
Carlos Villanueva Mariz
Organisation
Free University Berlin
We derive a lower bound, independent of the initial condition, for the solution of the KPZ equation on the torus, using its representation as the value function of a stochastic control problem.
With the same techniques we also prove a bound for its oscillation, again independent of initial conditions, which is related to Harnack's inequality for the (rough) heat equation.