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math.PR2025
Derivation of stochastic Burgers on the line with a Dirichlet boundary condition at the origin
Cédric Bernardin, Ana Djurdjevac, Patricia Gonçalves +1
We analyze the \emph{equilibrium fluctuations} of a Hamiltonian chain of oscillators on \(\mathbb{Z}\) with an exponential potential, perturbed by a conservative, symmetric noise.…
math.PR2025
Weak Error of Dean-Kawasaki Equation with Smooth Mean-Field Interactions
Ana Djurdjevac, Xiaohao Ji, Nicolas Perkowski
We consider the weak-error rate of the SPDE approximation by regularized Dean-Kawasaki equation with Itô noise for particle systems with mean-field interactions both on the drift a…