140 citations · 709 across the 61 of their papers we have counts for
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Long-time behaviour of stochastic Hamilton-Jacobi equations
Paul Gassiat, Benjamin Gess, Pierre-Louis Lions +1
The long-time behavior of stochastic Hamilton-Jacobi equations is analyzed, including the stochastic mean curvature flow as a special case. In a variety of settings, new and sharpe…
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent
Benjamin Gess, Rishabh S. Gvalani, Vitalii Konarovskyi
The convergence of stochastic interacting particle systems in the mean-field limit to solutions of conservative stochastic partial differential equations is established, with optim…
Ergodicity and random dynamical systems for conservative SPDEs
Benjamin Fehrman, Benjamin Gess, Rishabh S. Gvalani
The dynamics of the solutions to a class of conservative SPDEs are analysed from two perspectives: Firstly, a probabilistic construction of a corresponding random dynamical system…