Pierre Le Doussal (ENS, Paris)
will speak on
Large time cumulants for the finite volume KPZ equation, and non-crossing polymers
Time: 2:00PM
Date: Tue 28th April 2026
Location: E0.32 (beside Pi restaurant)
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Abstract: I will recall the stationary measure of the 1D KPZ equation on an interval. I will then describe the fluctuations of the KPZ height in the large time limit. I will obtain the associated cumulants by two methods, one is by a limit from the ASEP, the other via a direct replica method introduced by Brunet and Derrida. An extension of this second method allows, as I will show, to also obtain large time formulas for the case of two non-crossing polymers on the cylinder.
The first works are in collaboration with G. Barraquand (published), the last one with A. De Luca (in preparation).
(This talk is part of the Probability series.)
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