Te-Chun Wang

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math.PR2025

On the space-time fluctuations of the SHE and KPZ equation in the entire $L^{2}$ -regime for spatial dimensions $d \geq 3$

Te-Chun Wang

We consider the mollified versions of the Kardar-Parisi-Zhang (KPZ) equation and the stochastic heat equation (SHE) in high dimensions $d \geq 3$ and analyze their probability distr…

math.PR2024

Asymptotics and the sub-limit at $L^{2}$ -criticality of higher moments for the SHE in dimension $d \geq 3$

Te-Chun Wang

In this article, we consider the $d$ -dimensional mollified stochastic heat equation (SHE) when the mollification parameter is turned off. Here, we concentrate on the high-dimension…

On the space-time fluctuations of the SHE and KPZ equation in the entire L2-regime for spatial dimensions d≥3

Asymptotics and the sub-limit at L2-criticality of higher moments for the SHE in dimension d≥3

On the space-time fluctuations of the SHE and KPZ equation in the entire $L^{2}$ -regime for spatial dimensions $d \geq 3$

Asymptotics and the sub-limit at $L^{2}$ -criticality of higher moments for the SHE in dimension $d \geq 3$