A geometric approach to semi-dispersing billiards (Survey)

DOI10.1017/S014338579811564XzbMath0915.58057OpenAlexW1982858716WikidataQ125330247 ScholiaQ125330247MaRDI QIDQ4236237

A. Kononenko, S. V. Ferleger, Dmitri Burago

Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338579811564x

zbMATH Keywords

periodic trajectoriestopological entropynon-regular Riemannian geometrysemi-dispersing billards

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Ergodic theory (37A99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (10)

Lagrangian relations and linear point billiards ⋮ On the number of hard ball collisions ⋮ Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds ⋮ Gluing constructions for Lorentzian length spaces ⋮ Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems ⋮ Billiard dynamics of bouncing dumbbell ⋮ A lower bound for the number of elastic collisions ⋮ Protecting billiard balls from collisions ⋮ An improved upper bound on the number of billiard ball collisions ⋮ Collisions in semi-dispersing billiard on Riemannian manifold

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