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Dynamical systems with elastic reflections
Open accessAbstract
In this paper we consider dynamical systems resulting from the motion of a material point in domains with strictly convex boundary, that is, such that the operator of the second quadratic form is negative-definite at each point of the boundary, where the boundary is taken to be equipped with the field of inward normals. We prove that such systems are ergodic and are K -systems. The basic method of investigation is the construction of transversal foliations for such systems and the study of their properties.
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Cited by
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Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Dynamical Ensembles in Nonequilibrium Statistical Mechanics
Gallavotti, G., & Cohen, E. G. D. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.2694 · Cited by 1,703
Quantum mechanics, interference, and the brain
Acacio de Barros, J., & Suppes, P. (2009) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2009.03.005 · Cited by 119
A Geometric Approach to Semi-Dispersing Billiards
Burago, D., Ferleger, S., & Kononenko, A. (2000) · Encyclopaedia of Mathematical Sciences · doi:10.1007/978-3-662-04062-1_2 · Cited by 21
Metadata
- Authors
- Sinai, Y. G.
- Venue
- Russian Mathematical Surveys
- Publisher
- Steklov Mathematical Institute
- Published
- 1970-04-30
- Volume
- 25
- Issue
- 2
- Pages
- 137-189
- ISSN
- 0036-0279 (ISSN-L)
- 1468-4829
- OpenAlex
- W2095165504
- Cited by
- 1,031
- References
- 0
- FWCI
- 4.43
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Sinai, Y. G. (1970). Dynamical systems with elastic reflections. Russian Mathematical Surveys. https://doi.org/10.1070/rm1970v025n02abeh003794
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