5 papers
Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
We develop a general framework for establishing non-uniqueness of stationary measures for stochastically forced dynamical systems possessing an almost surely invariant submanifold.…
Negative regularity mixing for random volume preserving diffeomorphisms
Jacob Bedrossian, Patrick Flynn, Sam Punshon-Smith
We consider the negative regularity mixing properties of random volume preserving diffeomorphisms on a compact manifold without boundary. We give general criteria so that the assoc…
Existence of stationary measures for partially damped SDEs with generic, Euler-type nonlinearities
Jacob Bedrossian, Alex Blumenthal, Keagan Callis +1
We study nonlinear energy transfer and the existence of stationary measures in a class of degenerately forced SDEs on with a quadratic, conservative nonlinearity $B(x…
A quantitative dichotomy for Lyapunov exponents of non-dissipative SDEs with an application to electrodynamics
Jacob Bedrossian, Chi-Hao Wu
In this paper we derive a quantitative dichotomy for the top Lyapunov exponent of a class of non-dissipative SDEs on a compact manifold in the small noise limit. Specifically, we p…
Kinetic shock profiles for the Landau equation
Dallas Albritton, Jacob Bedrossian, Matthew Novack
The physical quantities in a gas should vary continuously across a shock. However, the physics inherent in the compressible Euler equations is insufficient to describe the width or…