20 citations · 31 across the 3 of their papers we have counts for
6 papers
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…
A Model for the Bus System in Cuernevaca (Mexico)
Jinho Baik, Alexei Borodin, Percy Deift +1
The bus transportation system in Cuernevaca, Mexico, has certain distinguished, innovative features and has been the subject of an intriguing, recent study by M. Krbalek and P. Seb…
A GUE Central Limit Theorem and Universality of Directed First and Last Passage Site Percolation
Jinho Baik, Toufic M. Suidan
We prove a GUE central limit theorem for random variables with finite fourth moment. We apply this theorem to prove that the directed first and last passage percolation problems in…
The Small Scales of the Stochastic Navier Stokes Equations under Rough Forcing
Jonathan C. Mattingly, Toufic M. Suidan
We prove that the small scale structures of the stochastically forced Navier-Stokes equations approach those of the naturally associated Ornstein-Uhlenbeck process as the scales ge…
Statistical Properties of Convex Minorants of Random Walks and Brownian Motions
Toufic Suidan
This paper calculates several useful statistical properties of the convex minorant process generated by random walk processes. In particular, we calculate the statistics of the lon…