1 citations · 2 across the 7 of their papers we have counts for
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The Critical 2D KPZ Process
Quentin Berger, Francesco Caravenna, Jeremy Clark +8
This work constructs a non-trivial solution to the ill-defined two-dimensional Kardar-Parisi-Zhang (KPZ) equation at criticality: a distribution-valued stochastic process on the pl…
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…
Conditional GMC within the stochastic heat flow
Jeremy Clark, Li-Cheng Tsai
We establish that the family of polymer measures associated with the Stochastic Heat Flow (SHF), indexed by , has a conditional Gaussian Multiplicativ…
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…
Two dimensional delta Bose gas in a weighted space
Sudheesh Surendranath, Li-Cheng Tsai
We extend the construction of the semigroup of the two-dimensional delta-Bose gas in Gu, Quastel, and Tsai (2021) (based on Rajeev (1999) and Dimock and Rajeev (2004)) to a weighte…
Stochastic heat flow by moments
Li-Cheng Tsai
The Stochastic Heat Flow (SHF) emerges as the scaling limit of directed polymers in random environments and the noise-mollified Stochastic Heat Equation (SHE), specifically at the…
Solving marginals of the LDP for the directed landscape
Sayan Das, Li-Cheng Tsai
We identify the explicit rate function for the upper-tail LDP of the parabolic Airy process and characterize the minimizing metrics, or equivalently the limit shape of the directed…
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…