Local finiteness of the number of reflections in semi-dispersing Minkowski billiards
Roman Barinov, Sergei Ivanov
Abstract
We prove that in a semi-dispersing Minkowski billiard, that is a billiard in the complement of a collection of convex sets in a normed space with a smooth strictly convex norm, any billiard trajectory of finite length has only finitely many reflections off the walls.
Create a lesson
Related papers
High-order discrete differential and integral calculus and Galerkin variational integrators
Jacky Cresson, Khaled Hariz-Belgacem Khaled Hariz-Belgacem, Anna Szafranska
Dynamics of planar integrable Kepler billiards with a focused hyperbolic branch
Daniel Jaud, Lei Zhao
Cyclicity of sliding cycles in regularizations of piecewise linear two-folds
Renato Huzak, Kristian Uldall Kristiansen, Otavio Henrique Perez et al.
The Problem of Stochastic System Prediction in Gait Biomechanics Applications
S. S. Gavryushin, I. A. Meshchihin, S. S. Minkov
Anosov Diffeomorphisms of Finite-Type Surfaces
Raúl Ures, Tongyao Yu
Existence and Regularity of Stable Resonant Spectral Submanifolds and Linearization Maps
Florian Kogelbauer, Rafael de la Llave