50 citations · 330 across the 31 of their papers we have counts for
5 papers · 1 filter
A Stochastic Large Deformation Model for Computational Anatomy
Alexis Arnaudon, Darryl D. Holm, Akshay Pai +1
In the study of shapes of human organs using computational anatomy, variations are found to arise from inter-subject anatomical differences, disease-specific effects, and measureme…
Integrability of the hyperbolic reduced Maxwell-Bloch equations for strongly correlated Bose-Einstein condensates
Alexis Arnaudon, John D. Gibbon
We derive and study the hyperbolic reduced Maxwell-Bloch equations (HRMB), a simplified model for the dynamics of strongly correlated Bose-Einstein condensates (BECs), and in parti…
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…
Computational issues in chemo-dynamical modelling of the formation and evolution of galaxies
Yves Revaz, Alexis Arnaudon, Matthew Nichols +2
Chemo-dynamical N-body simulations are an essential tool for understanding the formation and evolution of galaxies. As the number of observationally determined stellar abundances c…
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…