On Minkowski type question mark functions associated with even or odd continued fractions
Dynamical Systems
2019-05-06 v4 Combinatorics
Number Theory
Abstract
We study analogues of Minkowski's question mark function related to continued fractions with even or odd partial quotients. We prove that these functions are H\"older continuous with precise exponents, and that they linearize the appropriate versions of the Gauss and Farey maps.
Cite
@article{arxiv.1705.01238,
title = {On Minkowski type question mark functions associated with even or odd continued fractions},
author = {Florin P. Boca and Christopher Linden},
journal= {arXiv preprint arXiv:1705.01238},
year = {2019}
}
Comments
17 pages; updated version