44 citations · 164 across the 9 of their papers we have counts for
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Anomalous Dissipation in a Stochastically Forced Infinite-Dimensional System of Coupled Oscillators
Jonathan C. Mattingly, Toufic M. Suidan, Eric Vanden-Eijnden
We study a system of stochastically forced infinite-dimensional coupled harmonic oscillators. Although this system formally conserves energy and is not explicitly dissipative, we s…
Simple Systems with Anomalous Dissipation and Energy Cascade
Jonathan C. Mattingly, Toufic Suidan, Eric Vanden-Eijnden
We analyze a class of linear shell models subject to stochastic forcing in finitely many degrees of freedom. The unforced systems considered formally conserve energy. Despite being…
Random matrix central limit theorems for nonintersecting random walks
Jinho Baik, Toufic M. Suidan
We consider nonintersecting random walks satisfying the condition that the increments have a finite moment generating function. We prove that in a certain limiting regime where the…