English

Two versions of a specific natural extension

Dynamical Systems 2008-02-04 v1

Abstract

We give two versions of the natural extension of a specific greedy beta-transformation with deleted digits. We use the natural extension to obtain an explicit expression for the invariant measure, equivalent to the Lebesgue measure, of this beta-transformation.

Cite

@article{arxiv.0802.0166,
  title  = {Two versions of a specific natural extension},
  author = {Karma Dajani and Charlene Kalle},
  journal= {arXiv preprint arXiv:0802.0166},
  year   = {2008}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-21T10:08:46.768Z