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math.PR2024
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…
math.PR2024
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…
math.PR2024★ 1 cited
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…