Logarithm laws for the BCZ map

Pure and Applied Mathematics Quarterly 2026 Open access

Read full text
Authors: Yiming Li
DOI: 10.4310/pamq.260320213538
Cited by: 0

Abstract

We present the logarithm laws for the partial sum of the itinerary function over non-periodic BCZ orbits, using the even and the odd Diophantine exponents that Athreya and Margulis [1] define. We also give a detailed description of the BCZ map and its excursions.

Fields of Study & Subjects

Optimization and Variational Analysis

Publication details

Journal / source
Pure and Applied Mathematics Quarterly
Publisher
International Press of Boston
Volume
22
Issue
3
Pages
929–968
Publication date
1 January 2026
Language
EN