49 citations · 83 across the 8 of their papers we have counts for
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math.PR2021★ 5 cited
On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation
Nathan Glatt-Holtz, Vincent R. Martinez, Geordie H. Richards
This paper considers the damped periodic Korteweg-de Vries (KdV) equation in the presence of a white-in-time and spatially smooth stochastic source term and studies the long-time b…
math.PR2015★ 49 cited
On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations
Nathan E. Glatt-Holtz, Jonathan C. Mattingly, Geordie Richards
We illustrate how the notion of asymptotic coupling provides a flexible and intuitive framework for proving the uniqueness of invariant measures for a variety of stochastic partial…