English

Distributions of full and non-full words in beta-expansions

Dynamical Systems 2018-03-26 v3 Number Theory

Abstract

The structures of full words and non-full for β\beta-expansions are completely characterized in this paper. We obtain the precise lengths of all the maximal runs of full and non-full words among admissible words with same order.

Keywords

Cite

@article{arxiv.1705.07277,
  title  = {Distributions of full and non-full words in beta-expansions},
  author = {Yao-Qiang Li and Bing Li},
  journal= {arXiv preprint arXiv:1705.07277},
  year   = {2018}
}