Chess Billiards
Dynamical Systems
2020-07-30 v1 Combinatorics
Abstract
We show the chess billiard map, which was introduced in [HM] in order to study a generalization of the -Queens problem in chess, is a circle homeomorphism. We give a survey of some of the known results on circle homeomorphisms, and apply them to this map. We prove a number of new results which give answers to some of the open questions posed in [HM].
Cite
@article{arxiv.2007.14773,
title = {Chess Billiards},
author = {Arnaldo Nogueira and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:2007.14773},
year = {2020}
}
Comments
18 pages, 11 figures