Constructing a Linearly Ordered Topological Space from a Fractal Structure: A Probabilistic Approach

Author:

Gálvez-Rodríguez José FulgencioORCID,Sánchez-Granero Miguel ÁngelORCID

Abstract

Recent studies have shown that it is possible to construct a probability measure from a fractal structure defined on a space. On the other hand, a theory on cumulative distribution functions from an order on a separable linearly ordered topological space has been developed. In this paper, we show how to define a linear order on a space with a fractal structure, so that these two theories can be used interchangeably in both topological contexts.

Funder

Ministerio Español de Ciencia e Innovación and FEDER

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference24 articles.

1. A characterization of non-archimedeanly quasimetrizable spaces;Arenas;Rend. Istit. Mat. Univ. Trieste Suppl.,1999

2. Fractal structures, in: Asymmetric Topology and its Applications;Quad. Mat.,2012

3. Generating a probability measure on the completion of a fractal structure;Results Math.,2019

4. Generating a probability measure from a fractal structure;Results Math.,2020

5. Completion of a fractal structure;Quaest. Math.,2017

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

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3