39 citations · 47 across the 10 of their papers we have counts for
3 papers · 1 filter
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…
A coarse stratification of the monster tower
Alex Castro, Susan Jane Colley, Gary Kennedy +1
The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a n…
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…