English

Octagonal continued fraction and diagonal changes

Dynamical Systems 2020-10-12 v1 Geometric Topology Number Theory

Abstract

In this short note we show that the octagon Farey map introduced by Smillie and Ulcigrai is an acceleration of the diagonal changes algorithm introduced by Delecroix and Ulcigrai.

Cite

@article{arxiv.2010.04670,
  title  = {Octagonal continued fraction and diagonal changes},
  author = {Mauro Artigiani},
  journal= {arXiv preprint arXiv:2010.04670},
  year   = {2020}
}

Comments

18 pages, 12 figures. Comments are welcome!

R2 v1 2026-06-23T19:12:53.733Z