Billiards, invariant measures, and equilibrium thermodynamics

Regular and Chaotic Dynamics

Volumn 5, Issue 2, 2000, Pages 129-138

  Kozlov, V V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52549098843     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2000v005n02ABEH000136     Document Type: Article

References (18)

1. G. V. Gibbs. Thermodynamics. Statistical Mechanics. Moscow, Nauka, 1982, P. 384.
2. V. V. Kozlov. A Constructive Method of Justification of the Theory of Systems with Unilateral Constraints. Prikl. Mekh. i Mat., 1988, V. 52, Iss. 6, P. 883-894.
3. P. K. Rashevsky. Riemannian Geometry and Tensor Analysis. Moscow, Nauka, 1967, P. 664.
4. N. G. Brain. Asymptotic Methods in Analysis. Moscow, IL, 1961, P. 247.
5. A. Ya Hinchin. Mathematical Grounds for Statistical Mechanics. Moscow-Leningrad, Gostekhizdat, 1943, P. 128.
6. V. V. Kozlov. Canonical Gibbs Distribution and Thermodynamics of Mechanical Systems with a Finite Number of Degree of Freedom. Regular and Chaotic Dynamics, 1999, V. 4, No 2, P. 44-54.
7. E. T. Whittaker, G. Robinson. The Calculus of Observations. Blackil and Son, 1928.
8. A. M. Kachan, Yu. V. Linnik, S. R. Rao. Characterizational Problems of Mathematical Statistics. Moscow, Nauka, 1972, P. 656.
9. E. A. Sidorov. Smooth Topological Transitive Systems. Mathematical Notes, 1968, V. 4, No 6, P. 751-759.
10. J. C. Oxtoby. Note of Transitive Transformations. Proc. Mat. Acad. Sci. U.S., 1937, V. 23, P. 443-446.
11. V. V. Kozlov. Phenomena of Nonintegrability in Hamiltonian Systems. Proc. Int. Congr. Math. Berkeley. California. USA, 1987, P. 1161-1170.
12. N. G. Moshchevitin. On Existence and Smoothness of an Integral of a Hamiltonian System with a Defined Form. Mathematical Notes, 1991, V. 49, No 5, P. 80-85.
13. V. V. Kozlov. Symmetries, Topology and Resonances in Hamiltonian Mechanics. Springer - Verlag, 1996, P. 378.
14. S. V. Bolotin. Birkhoff Integrable Billiards. Vestnik MGU, Ser. Mat., Mekh., 1990, No. 2, P. 33-36.
15. M. Kac. Probability and Related Topics in Physical Sciences. Intersience Publishers, 1957.
16. V. F. Lazutkin. A Convex Billiard and Eigenfunctions of the Laplace Operator. Leningrad, LGU Publishers, 1981, P. 196.
17. N. V. Svanidze. Existence of Invariant Tori for a Three-Dimentional Billiard Located in a Neighbourhood of a "Closed Geodesic on the Domain Boundary". UMN, 1978, V. 33, Iss. 4, P. 225-226
18. N. I. Ahieser. Classical Problem of Moments. Moscow, Nauka, 1961, P. 310.