Collisions in semi-dispersing billiard on Riemannian manifold
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Publication:1612238
DOI10.1016/S0166-8641(01)00133-XzbMath1079.37028WikidataQ115339631 ScholiaQ115339631MaRDI QIDQ1612238
A. Kononenko, Dmitri Burago, S. V. Ferleger
Publication date: 22 August 2002
Published in: Topology and its Applications (Search for Journal in Brave)
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dynamical aspects of statistical mechanics (37A60)
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Cites Work
- Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose
- New proof of Sinai's formula for the entropy of hyperbolic billard systems. Application to Lorentz gases and Bunimovich stadiums
- Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian
- Uniform estimates on the number of collisions in semi-dispersing billiards
- Unfoldings and global bounds on the number of collisions for generalized semi-dispersing billiards
- Maximum number of collisions among identical hard spheres
- Estimate of the number of collisions of \(n\) elastic particles on a line
- Quasigeodesics
- Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseudomanifold
- Finiteness of the number of collisions in a hard sphere particle system in all space, II: Arbitrary diameters and masses
- Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
- ELASTIC COLLISIONS OF PARTICLES ON A LINE
- A geometric approach to semi-dispersing billiards (Survey)
- Topological entropy of semi-dispersing billiards
- Collisions of Three Hard Spheres
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