78 citations · 349 across the 19 of their papers we have counts for
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Exact lower tail large deviations of the KPZ equation
Li-Cheng Tsai
Consider the Hopf--Cole solution of the KPZ equation with narrow wedge initial condition. Regarding as a scaling parameter, we provide the first rigorous…
Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model
Hao Shen, Li-Cheng Tsai
In this article we study the stochastic six vertex model under the scaling proposed by Borodin and Gorin (2018), where the weights of corner-shape vertices are tuned to zero, and p…
SPDE Limit of Weakly Inhomogeneous ASEP
Ivan Corwin, Li-Cheng Tsai
We study ASEP in a spatially inhomogeneous environment on a torus of sites. A given inhomogeneity $ \widetilde{a}(x) \in (0,\inf…
Stochastic PDE Limit of the Six Vertex Model
Ivan Corwin, Promit Ghosal, Hao Shen +1
We study the stochastic six vertex model and prove that under weak asymmetry scaling (i.e., when the parameter so as to zoom into the ferroelectric/disordered phase crit…
Coulomb-gas electrostatics controls large fluctuations of the KPZ equation
Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink +2
We establish a large deviation principle for the Kardar-Parisi-Zhang (KPZ) equation, providing precise control over the left tail of the height distribution for narrow wedge initia…