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math.PR2024
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…
math.PR2024
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…