English

An algorithm to identify automorphisms which arise from self-induced interval exchange transformations

Dynamical Systems 2019-04-04 v2 Group Theory

Abstract

We give an algorithm to determine if the dynamical system generated by a positive automorphism of the free group can also be generated by a self-induced interval exchange transformation. The algorithm effectively yields the interval exchange transformation in case of success.

Keywords

Cite

@article{arxiv.1107.2430,
  title  = {An algorithm to identify automorphisms which arise from self-induced interval exchange transformations},
  author = {Yann Jullian},
  journal= {arXiv preprint arXiv:1107.2430},
  year   = {2019}
}

Comments

26 pages, 8 figures. v2: the article has been reorganized to make for a more linear read. A few paragraphs have been added for clarity

R2 v1 2026-06-21T18:35:52.110Z