1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Another look into the Wong-Zakai Theorem for Stochastic Heat Equation
Yu Gu, Li-Cheng Tsai
Consider the heat equation driven by a smooth, Gaussian random potential: \begin{align*} \partial_t u_{\varepsilon}=\tfrac12Δu_{\varepsilon}+u_{\varepsilon}(ξ_{\varepsilon}-c_{\var…