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math.PR2022★ 1 cited
Stationary measures for stochastic differential equations with degenerate damping
Jacob Bedrossian, Kyle Liss
A variety of physical phenomena involve the nonlinear transfer of energy from weakly damped modes subjected to external forcing to other modes which are more heavily damped. In thi…
math.PR2021★ 4 cited
Lower bounds on the Lyapunov exponents of stochastic differential equations
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
In this article, we review our recently introduced methods for obtaining strictly positive lower bounds on the top Lyapunov exponent of high-dimensional, stochastic differential eq…
math.PR2021★ 1 cited
Chaos in stochastic 2d Galerkin-Navier-Stokes
Jacob Bedrossian, Sam Punshon-Smith
We prove that all Galerkin truncations of the 2d stochastic Navier-Stokes equations in vorticity form on any rectangular torus subjected to hypoelliptic, additive stochastic forcin…