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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 3, Pages 496–506
DOI: https://doi.org/10.4213/tmf1914 (Mi tmf1914) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Evolution of Measures in the Phase Space of Nonlinear Hamiltonian Systems

V. V. Kozlov, D. V. Treschev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (264 kB) Citations (14) English version article
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DOI: https://doi.org/10.4213/tmf1914
Abstract: 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, Gibbs ensemble, uniform distribution.
Received: 17.12.2002
Revised: 21.04.2003
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 3, Pages 1325–1335
DOI: https://doi.org/10.1023/A:1025607517444
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kozlov, D. V. Treschev, “Evolution of Measures in the Phase Space of Nonlinear Hamiltonian Systems”, TMF, 136:3 (2003), 496–506; Theoret. and Math. Phys., 136:3 (2003), 1325–1335
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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