activity
20122026
most citedMoments and growth indices for the nonlinear stochastic heat equation with rough initial conditions

77 citations · 160 across the 36 of their papers we have counts for

collaborators

37 papers

hep-ph2026

Electron-positron pair production in spatially inhomogeneous electric fields with quadratically symmetric chirp

Le Le Chen, Xiao-Ting Xu, Rong-An-Tang +3

Electron-positron pair production from vacuum in spatially inhomogeneous electric fields with quadratically symmetric chirp is studied within the real-time Dirac-Heisenberg-Wigner…

math.PR2026

Spatial covariance of KPZ from flat initial profile

Le Chen, Juan J. Jiménez

We study the fixed-time spatial covariance of the KPZ equation with flat initial profile. Using Malliavin calculus and a Clark-Ocone representation, we show that as ,…

math.PR2026

A class of d-dimensional directed polymers in a Gaussian environment

Le Chen, Cheng Ouyang, Samy Tindel +1

We introduce and analyze a broad class of continuous directed polymers in driven by Gaussian environments that are white in time and spatially correlated, under Dala…

math.PR2023★ 1 cited

Parabolic Anderson model with colored noise on torus

Le Chen, Cheng Ouyang, William Vickery

We construct an intrinsic family of Gaussian noises on -dimensional flat torus . It is the analogue of the colored noise on , and allows us to study…

math.PR2023

Asymptotic properties of stochastic partial differential equations in the sublinear regime

Le Chen, Panqiu Xia

In this paper, we investigate stochastic heat equation with sublinear diffusion coefficients. By assuming certain concavity of the diffusion coefficient, we establish non-trivial m…

math.PR2023

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

David Candil, Le Chen, Cheuk Yin Lee

We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann bound…