CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE
Descripción del Articulo
In this article, the construction of a horseshoe is studied with positive Lebesgue measure, this horseshoe is built by analogy to the way Smale horseshoe. The difference is that the Smale horseshoe has zero Lebesgue measure introducing chaos that from the point of view probabilist...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2021 |
| Institución: | Universidad Ricardo Palma |
| Repositorio: | Revistas - Universidad Ricardo Palma |
| Lenguaje: | español |
| OAI Identifier: | oai:oai.revistas.urp.edu.pe:article/3577 |
| Enlace del recurso: | http://revistas.urp.edu.pe/index.php/Scientia/article/view/3577 |
| Nivel de acceso: | acceso abierto |
| Materia: | Hyperbolic set, Horseshoe, Space of two symbols, Cantor set, Lebesgue measure. Conjunto hiperbólico, Herradura, Espacio de dos símbolos, conjunto de Cantor, medida de Lebesgue. |
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CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURECONSTRUCCIÓN DE UNA HERRADURA CON MEDIDA DE LEBESGUE POSITIVAMENDOZA JIMENEZ, JoelHyperbolic set, Horseshoe, Space of two symbols, Cantor set, Lebesgue measure.Conjunto hiperbólico, Herradura, Espacio de dos símbolos, conjunto de Cantor, medida de Lebesgue.In this article, the construction of a horseshoe is studied with positive Lebesgue measure, this horseshoe is built by analogy to the way Smale horseshoe. The difference is that the Smale horseshoe has zero Lebesgue measure introducing chaos that from the point of view probabilistic could be negligible, however when constructing the horseshoe with positive mea- sure we see that it is not.En este artículo, se estudia la construcción de una herradura con medida de Lebesgue positiva, esta herradura es edificada de manera análoga a la herradura de Smale. La diferencia es que la herradura de Smale tiene medida de Lebesgue cero presentando caos, que desde el punto de vista probabilístico podría ser despreciable, sin embargo al construir la herradura con medida positiva vemos que no lo es.UNIVERSIDAD RICARDO PALMA2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulo evaluado por pares.application/pdfhttp://revistas.urp.edu.pe/index.php/Scientia/article/view/357710.31381/scientia.v22i22.3577Scientia; Vol. 22 Núm. 22 (2020): SCIENTIA; 187 - 2081993-422X2519-574310.31381/scientia.v22i22reponame:Revistas - Universidad Ricardo Palmainstname:Universidad Ricardo Palmainstacron:URPspahttp://revistas.urp.edu.pe/index.php/Scientia/article/view/3577/4354Derechos de autor 2021 Scientiainfo:eu-repo/semantics/openAccessoai:oai.revistas.urp.edu.pe:article/35772021-05-12T19:56:22Z |
| dc.title.none.fl_str_mv |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE CONSTRUCCIÓN DE UNA HERRADURA CON MEDIDA DE LEBESGUE POSITIVA |
| title |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE |
| spellingShingle |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE MENDOZA JIMENEZ, Joel Hyperbolic set, Horseshoe, Space of two symbols, Cantor set, Lebesgue measure. Conjunto hiperbólico, Herradura, Espacio de dos símbolos, conjunto de Cantor, medida de Lebesgue. |
| title_short |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE |
| title_full |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE |
| title_fullStr |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE |
| title_full_unstemmed |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE |
| title_sort |
CONSTRUCTION OF A HORSESHOE WITH POSITIVE LEBESGUE MEASURE |
| dc.creator.none.fl_str_mv |
MENDOZA JIMENEZ, Joel |
| author |
MENDOZA JIMENEZ, Joel |
| author_facet |
MENDOZA JIMENEZ, Joel |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Hyperbolic set, Horseshoe, Space of two symbols, Cantor set, Lebesgue measure. Conjunto hiperbólico, Herradura, Espacio de dos símbolos, conjunto de Cantor, medida de Lebesgue. |
| topic |
Hyperbolic set, Horseshoe, Space of two symbols, Cantor set, Lebesgue measure. Conjunto hiperbólico, Herradura, Espacio de dos símbolos, conjunto de Cantor, medida de Lebesgue. |
| description |
In this article, the construction of a horseshoe is studied with positive Lebesgue measure, this horseshoe is built by analogy to the way Smale horseshoe. The difference is that the Smale horseshoe has zero Lebesgue measure introducing chaos that from the point of view probabilistic could be negligible, however when constructing the horseshoe with positive mea- sure we see that it is not. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021-01-01 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo evaluado por pares. |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://revistas.urp.edu.pe/index.php/Scientia/article/view/3577 10.31381/scientia.v22i22.3577 |
| url |
http://revistas.urp.edu.pe/index.php/Scientia/article/view/3577 |
| identifier_str_mv |
10.31381/scientia.v22i22.3577 |
| dc.language.none.fl_str_mv |
spa |
| language |
spa |
| dc.relation.none.fl_str_mv |
http://revistas.urp.edu.pe/index.php/Scientia/article/view/3577/4354 |
| dc.rights.none.fl_str_mv |
Derechos de autor 2021 Scientia info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Derechos de autor 2021 Scientia |
| eu_rights_str_mv |
openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
UNIVERSIDAD RICARDO PALMA |
| publisher.none.fl_str_mv |
UNIVERSIDAD RICARDO PALMA |
| dc.source.none.fl_str_mv |
Scientia; Vol. 22 Núm. 22 (2020): SCIENTIA; 187 - 208 1993-422X 2519-5743 10.31381/scientia.v22i22 reponame:Revistas - Universidad Ricardo Palma instname:Universidad Ricardo Palma instacron:URP |
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Universidad Ricardo Palma |
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URP |
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URP |
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Revistas - Universidad Ricardo Palma |
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Revistas - Universidad Ricardo Palma |
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1789625160322514944 |
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13.887938 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
