English

Unbounded orbits for the Plaid Model

Dynamical Systems 2015-07-15 v2

Abstract

This paper is a sequel to my paper "Introducing the Plaid Model". In this paper it is shown that the plaid model has unbounded polygonal paths for every irrational parameter. This result parallels my result that outer billiards on kites has unbounded orbits for every irrational parameter

Keywords

Cite

@article{arxiv.1507.03284,
  title  = {Unbounded orbits for the Plaid Model},
  author = {Richard Evan Schwartz},
  journal= {arXiv preprint arXiv:1507.03284},
  year   = {2015}
}

Comments

59 pages; probably one should read "Introducing the plaid model" first. This replacement is IDENTICAL to the previous version except that I changed 2 letters in the metadata abstract. I couldn't figure out how to make this change without doing a full replacement

R2 v1 2026-06-22T10:10:24.242Z