3 papers
math.PR2026
Log Log Fluctuations of the Stochastic Heat Flow
Yu Gu, Li-Cheng Tsai
We study the stochastic heat flow with constant initial data and analyze its spatial average on the scale of . We prove that the logarithm of the averaged process…
math.PR2025
Stochastic heat flow is a black noise
Yu Gu, Li-Cheng Tsai
We prove that the stochastic heat flow Caravenna Sun Zygouras (2023), Tsai (2024) is a black noise in the sense of Tsirelson (2004). As a corollary, the 2d stochastic heat equation…
math.PR2024
Deterministic computation of quantiles in a Lipschitz framework
Yurun Gu, Clément Rey
In this article, we focus on computing the quantiles of a random variable , where is a -valued random variable, , and $f:[0,1]^d\to \mat…