@article{325ccb4b93434c0e9a829c0c7e2ee4d5,
title = "On Minkowski type question mark functions associated with even or odd continued fractions",
abstract = "We study analogues of Minkowski{\textquoteright}s question mark function ?(x) related to continued fractions with even or with odd partial quotients. We prove that these functions are H{\"o}lder continuous with precise exponents, and that they linearize the appropriate versions of the Gauss and Farey maps.",
keywords = "Even continued fraction, Farey map, Gauss map, H{\"o}lder exponent, Odd continued fraction, Question mark function",
author = "Boca, {Florin P.} and Christopher Linden",
note = "Funding Information: Acknowledgements We are grateful to the referees for their valuable input that contributed to a number of clarifications and improved the presentation of the paper. Florin P. Boca would like to acknowledge partial support during his visits to IMAR Bucharest by a grant from Romanian Ministry of Research and Innovation, CNCS-UEFISCDI, Project PN-III-P4-ID-PCE-2016-0823, within PNCDI III. Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Austria, part of Springer Nature.",
year = "2018",
month = sep,
day = "1",
doi = "10.1007/s00605-018-1205-8",
language = "English (US)",
volume = "187",
pages = "35--57",
journal = "Monatshefte fur Mathematik",
issn = "0026-9255",
publisher = "Springer",
number = "1",
}