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math.PR2025
Quantitative positivity of transition densities for random perturbations of Hamiltonian systems
Shimaa Elesaely, David P. Herzog, Kyle L. Liss
We study a class of diffusion processes arising from random perturbations of conservative Hamiltonian systems. Under a set of abstract hypotheses -- including basic structural assu…
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.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…