English

Logarithm laws for BCZ map

Dynamical Systems 2024-04-11 v2

Abstract

We present the logarithm laws for the partial sum of the itinerary function over non-periodic BCZ orbits, utilizing the even and odd Diophantine exponent defined by Athreya-Margulis. We also give a detailed description of the BCZ map and its excursions.

Cite

@article{arxiv.2403.15160,
  title  = {Logarithm laws for BCZ map},
  author = {Yiming Li},
  journal= {arXiv preprint arXiv:2403.15160},
  year   = {2024}
}

Comments

33 pages

R2 v1 2026-06-28T15:29:50.270Z