4 papers · 1 filter
Dual-Inertial Bregman Methods with Energy-Based Safeguarding
Kangming Chen
We develop dual-inertial Bregman proximal methods for convex optimization and analyze their convergence through an exact signed-drift representation. For unrestarted iterations, on…
Wick Renormalized Parabolic Stochastic Quantization Equations on Rough Metric Measure Spaces
Hongyi Chen, Yifan, Yang
On metric measure spaces with sub-Gaussian heat kernel behavior in small time, we obtain a sufficient condition to solve Wick renormalized stochastic quantization equations with po…
Sharp Riemannian heat kernel estimates on the cut locus and the Parabolic Anderson model
Hongyi Chen, Robert Neel, Cheng Ouyang
Using sharp global heat kernel bounds and geodesic comparison geometry, we show that the Dalang condition for well-posedness of the parabolic Anderson model with measure-valued ini…
Martin Boundary and Invariant Fields of Multiplicative SHE
Hongyi Chen
We study invariant measures of nonlinear multiplicative stochastic heat equations in the weak disorder regime. Under a natural second-moment condition, we show that positive invari…