Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach
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 ho...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/14101 |
| _version_ | 1789406358676701184 |
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| author | Gálvez Rodríguez, José Fulgencio Sánchez-Granero, Miguel Ángel |
| author_facet | Gálvez Rodríguez, José Fulgencio Sánchez-Granero, Miguel Ángel |
| author_sort | Gálvez Rodríguez, José Fulgencio |
| collection | DSpace |
| description | 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. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-14101 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2022 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-141012023-04-12T19:36:56Z Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach Gálvez Rodríguez, José Fulgencio Sánchez-Granero, Miguel Ángel probability measure fractal structure cumulative distribution function linearly ordered topological space 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. 2022-11-30T13:38:34Z 2022-11-30T13:38:34Z 2022-11-30 info:eu-repo/semantics/article MDPI 2227-7390 http://hdl.handle.net/10835/14101 10.3390/math10234518 en https://www.mdpi.com/2227-7390/10/23/4518 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | probability measure fractal structure cumulative distribution function linearly ordered topological space Gálvez Rodríguez, José Fulgencio Sánchez-Granero, Miguel Ángel Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| title | Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| title_full | Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| title_fullStr | Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| title_full_unstemmed | Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| title_short | Constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| title_sort | constructing a linearly ordered topological space from a fractal structure: a probabilistic approach |
| topic | probability measure fractal structure cumulative distribution function linearly ordered topological space |
| url | http://hdl.handle.net/10835/14101 |
| work_keys_str_mv | AT galvezrodriguezjosefulgencio constructingalinearlyorderedtopologicalspacefromafractalstructureaprobabilisticapproach AT sanchezgraneromiguelangel constructingalinearlyorderedtopologicalspacefromafractalstructureaprobabilisticapproach |