Cantor type functions in non-integer bases

被引：0
|
作者：
Baiocchi, C. [1 ]
Komornik, V. [2 ,4 ]
Loreti, P. [3 ]
机构：
[1] Accademia Nazl Lincei, Via Lungara 10, I-00165 Rome, Italy
[2] Univ Strasbourg, Dept Math, 7 Rue Rene Descartes, F-67000 Strasbourg, France
[3] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via A Scarpa 16, I-00161 Rome, Italy
[4] Univ Roma Tor Vergata, Dept Math, Rome, Italy
来源：
ACTA MATHEMATICA HUNGARICA | 2017年 / 153卷 / 01期
关键词：
NONDIFFERENTIABILITY SET; HAUSDORFF DIMENSION; UNIQUE EXPANSIONS; UNIVOQUE NUMBERS; BETA-EXPANSIONS; Q-NI; SYSTEMS;
D O I：
10.1007/s10474-017-0732-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. They turn out to have radically different continuity, differentiability and monotonicity properties, depending on the particular bases involved in their definition.
引用
收藏
页码：83 / 108
页数：26
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