87 citations · 877 across the 97 of their papers we have counts for
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math-ph2012
Gradient flows in the normal and Kähler metrics and triple bracket generated metriplectic systems
Anthony M. Bloch, Philip J. Morrison, Tudor S. Ratiu
The dynamics of gradient and Hamiltonian flows with particular application to flows on adjoint orbits of a Lie group and the extension of this setting to flows on a loop group are…
math-ph2012★ 15 cited
Geometry of non-holonomic diffusion
Simon Hochgerner, Tudor S. Ratiu
We study stochastically perturbed non-holonomic systems from a geometric point of view. In this setting, it turns out that the probabilistic properties of the perturbed system are…