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math.PR2021★ 11 cited
KPZ equation with a small noise, deep upper tail and limit shape
Pierre Yves Gaudreau Lamarre, Yier Lin, Li-Cheng Tsai
In this paper, we consider the KPZ equation under the weak noise scaling. That is, we introduce a small parameter in front of the noise and let $\varepsilon \t…
math.PR2021★ 15 cited
Hydrodynamic large deviations of TASEP
Jeremy Quastel, Li-Cheng Tsai
We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP). This problem was studied in Jensen (2000) and Varadhan (200…