50 citations · 330 across the 31 of their papers we have counts for
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The Stochastic Energy-Casimir Method
Alexis Arnaudon, Nader Ganaba, Darryl Holm
In this paper, we extend the energy-Casimir stability method for deterministic Lie-Poisson Hamiltonian systems to provide sufficient conditions for the stability in probability of…
Noise and dissipation in rigid body motion
Alexis Arnaudon, Alex L. De Castro, Darryl D. Holm
Using the rigid body as an example, we illustrate some features of stochastic geometric mechanics. These features include: i) a geometric variational motivation for the noise struc…
Noise and dissipation on coadjoint orbits
Alexis Arnaudon, Alex L. Castro, Darryl D. Holm
We derive and study stochastic dissipative dynamics on coadjoint orbits by incorporating noise and dissipation into mechanical systems arising from the theory of reduction by symme…