211 citations · 904 across the 51 of their papers we have counts for
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math.PR2021★ 1 cited
Gibbsian dynamics and the generalized Langevin equation
David P. Herzog, Jonathan C. Mattingly, Hung D. Nguyen
We study the statistically invariant structures of the nonlinear generalized Langevin equation (GLE) with a power-law memory kernel. For a broad class of memory kernels, including…
math.PR2021
The Gaussian Structure of the Singular Stochastic Burgers Equation
Jonathan C. Mattingly, Marco Romito, Langxuan Su
We consider the stochastically forced Burgers equation with an emphasis on spatially rough driving noise. We show that the law of the process at a fixed time , conditioned on no…