On Minkowski type question mark functions associated with even or odd continued fractions

Autor:	Boca, Florin P., Linden, Christopher
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems Mathematics - Combinatorics Mathematics - Number Theory 26A30 11A55 11B57 11B83 37B10 37E25
Zdroj:	Monatsh. Math. 187 (2018), no.1, 35-57
Druh dokumentu:	Working Paper
DOI:	10.1007/s00605-018-1205-8
Popis:	We study analogues of Minkowski's question mark function $?(x)$ 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. Comment: 17 pages; updated version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.01238 Zobrazit plný text záznamu View this record from Arxiv