Insertion in Constructed Normal Numbers-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Insertion in Constructed Normal Numbers

Published:2022-05-31 Issue:1 Volume:17 Page:55-76
ISSN:2309-5377
Container-title:Uniform distribution theory
language:en
Short-container-title:

Author:

Becher Verónica¹

Affiliation:

1. Universidad de Buenos Aires , Argentina

Abstract

Abstract Defined by Borel, a real number is normal to an integer base b ≥ 2 if in its base-b expansion every block of digits occurs with the same limiting frequency as every other block of the same length. We consider the problem of insertion in constructed base-b normal expansions to obtain normality to base (b + 1).

Publisher

Walter de Gruyter GmbH

Subject

General Earth and Planetary Sciences,General Environmental Science

Link

https://www.sciendo.com/pdf/10.2478/udt-2022-0008

Reference23 articles.

1. [1] AISTLEITNER, C.: On modifying normal numbers, Unif. Distrib. Theory 6 (2011), 49–58.

2. [2]ÁLVAREZ, N.—BECHER, V.—FERRARI, P.—YUHJTMAN, S.: Perfect necklaces,Adv. Appl. Math. 80 (2016), 48 – 61.10.1016/j.aam.2016.05.002

3. [3] BARBIER, E.: On suppose écrite la suite naturelle des nombres; quel est le (1010000)ième chiffre écrit?. Comptes Rendus des Séances de l’Académie des Sciences Paris 105 (1887), 1238–1239.

4. [4] BARBIER, E.: On suppose écrite la suite naturelle des nombres; quel est le (101000)ième chiffre écrit?, Comptes Rendus des Séances de l’Académie des Sciences Paris 105 (1887), 795–798.

5. [5] BECHER, V.—CARTON, O.: Normal numbers and nested perfect necklaces,J. Complexity 54 (2019), art. no. 101403, 12 pp.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP