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math.PR2025
Ergodicity for the Dean--Kawasaki Equation with Dirichlet Boundary Conditions: Taming the Square-Root
Shyam Popat, Zhengyan Wu
In this paper, we establish the ergodicity of generalized Dean--Kawasaki equations with correlated noise and Dirichlet boundary conditions. In contrast to the ergodicity results of…
math.PR2025
Small noise fluctuations and large deviations of conservative SPDEs with Dirichlet boundary conditions
Shyam Popat
We establish a central limit theorem and large deviations principle that characterises small noise fluctuations of the generalised Dean--Kawasaki stochastic PDE. The fluctuations a…