English

Maximizing dimension for Bernoulli measures and the Gauss map

Dynamical Systems 2022-04-19 v1

Abstract

We give a short proof that there exists a countable state Bernoulli measure maximizing the dimension of their images under the continued fraction expansion.

Keywords

Cite

@article{arxiv.2204.07794,
  title  = {Maximizing dimension for Bernoulli measures and the Gauss map},
  author = {Mark Pollicott},
  journal= {arXiv preprint arXiv:2204.07794},
  year   = {2022}
}

Comments

7 pages; to appear in Proceedings of the American Mathematical Society

R2 v1 2026-06-24T10:49:52.699Z