On Estimates of the Number of Collisions for Billiards in Polyhedral Angles
Lizhou Chen
Abstract
We obtain an upper bound of the number of collisions of any billiard trajectory in a polyhedral angle in terms of the minimal eigenvalue of a positive definite matrix which characterizes the angle. Elements of the matrix are scalar products between the unit normal vectors of faces of the angle.
Create a lesson
Related papers
At most exponential growth of periodic orbits for star flows
C. A. Morales, E. Rego, X. Wen
Interconnection of port-Hamiltonian systems is not dynamical
Jonas Kirchhoff
First integrals of dense hard-ball gases
Gleb Smirnov
Existence and Stability of Dancing Equilibria in Asymmetric Kuramoto Networks
Wen Sun, Yu-Qing Wang, Jiu-Gang Dong
Poisson actions of noncompact locally compact sofic groups have completely positive entropy
Zhuowei Liu
Ergodic × p-invariant measures on T2 with no dimension dropping projections
Amir Algom