Random Lochs’ Theorem

Studia Mathematica, vol. 267, pp. 201–239

Abstract

In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number $x$ that can be determined from just knowing its first $n$ decimal digits. In 2001 this result was generalised to a dynamical systems setting by Dajani and Fieldste

Authors 3

1. Charlene Kalle Aachen

   Leiden University

   Affiliation as printed

   Mathematisch Instituut Leiden University Niels Bohrweg 1 2333 CA Leiden, The Netherlands

2. Evgeny A. Verbitskiy Aachen

   Leiden University · University of Groningen

   Affiliation as printed

   Mathematisch Instituut Leiden University Niels Bohrweg 1 2333 CA Leiden, The Netherlands and Bernoulli Institute Groningen University Nijenborgh 9 9747 AG Groningen, The Netherlands

3. Benthen Zeegers Aachen

   Leiden University

   Affiliation as printed

   Mathematisch Instituut Leiden University Niels Bohrweg 1 2333 CA Leiden, The Netherlands