5 papers
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…
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 Multiplicat…
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…