Geodesic
Evolution of Measures in the Phase Space of Nonlinear Hamiltonian Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 496-506
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We establish the existence of weak limits of solutions (in the class $L_p$, $p\ge1$) of the Liouville equation for nondegenerate quasihomogeneous Hamilton equations. We find the limit probability distributions in the configuration space. We give conditions for a uniform distribution of Gibbs ensembles for geodesic flows on compact manifolds.
Keywords: quasihomogeneous Hamiltonian system, geodesic flow, weak limit, uniform distribution.
Mots-clés : Gibbs ensemble 
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V. V. Kozlov; D. V. Treschev. Evolution of Measures in the Phase Space of Nonlinear Hamiltonian Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 496-506. http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a9/

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