Wed, 11 Nov 2026
11:00 -
13:00
L4
Sharp Rates of Convergence to Singular SPDEs
Rhys Steele
(Max Planck Institute for Mathematics in the Sciences)
Abstract
For subcritical singular SPDEs, solutions are typically exhibited as the limit of solutions of regularised and renormalised PDEs as the regularisation scale goes to 0. Existing general solution theories typically yield a very small exponent for the rate of convergence. This suggests the question of identifying the sharpest possible rate of convergence that can be achieved in some space of distributions.
In this talk, I will discuss recent work with Máté Gerencsér and Yueh-Sheng Hsu in which we identify the sharp rate of convergence in the case of the KPZ equation.
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Fang, L
Nicholls, G
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Costantini, C
Etheridge, A
Ethier, S
Feng, J
Kang, H
The Annals of Probability
volume 54
issue 6
2689-2690
(01 Nov 2026)
doi:10.1214/26-aop1861