47 citations · 272 across the 43 of their papers we have counts for
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math-ph2016
Homogenization of Dissipative, Noisy, Hamiltonian Dynamics
Jeremiah Birrell, Jan Wehr
We study the dynamics of a class of Hamiltonian systems with dissipation, coupled to noise, in a singular (small mass) limit. We derive the homogenized equation for the position de…
math-ph2016★ 30 cited
Small Mass Limit of a Langevin Equation on a Manifold
Jeremiah Birrell, Scott Hottovy, Giovanni Volpe +1
We study damped geodesic motion of a particle of mass on a Riemannian manifold, in the presence of an external force and noise. Lifting the resulting stochastic differential eq…