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math-ph2009★ 1 cited
The Maxwell-Boltzmann Distribution is not the Equilibrium on a Hyperboloid
S. G. Rajeev
We give a geometric formulation of the Fokker-Planck-Kramer equations for a particle moving on a Lie algebra under the influence of a dissipative and a random force. Special cases…
math-ph2009★ 6 cited
Geometry of the Motion of Ideal Fluids and Rigid Bodies
S. G. Rajeev
Arnold pointed out that the Euler equation of incompressible ideal hydrodynamics describes geodesics on the group of volume-preserving diffeomorphisms. A simple analogue is the Eul…