English

Permutations and negative beta-shifts

Combinatorics 2017-02-03 v1 Dynamical Systems

Abstract

Elizalde (2011) characterized which permutations can be obtained by ordering consecutive elements in the trajectories of (positive) beta-transformations and beta-shifts. We prove similar results for negative bases beta.

Keywords

Cite

@article{arxiv.1702.00652,
  title  = {Permutations and negative beta-shifts},
  author = {Emilie Charlier and Wolfgang Steiner},
  journal= {arXiv preprint arXiv:1702.00652},
  year   = {2017}
}
R2 v1 2026-06-22T18:07:39.956Z