Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples

We point out how to use the classical characteristic method, that is used to solve quasilinear PDE's, to obtain the matrix exponential of some lower triangle infinite matrices. We use the Lie Frechet structure of the Riordan group described in [4]. After that we describe some linear dynamical s...

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Detalhes bibliográficos
Autores: Chocano Feito, Pedro José, Luzón, Ana, Alonso Morón, Manuel, Prieto Martínez, Luis Felipe
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72844
Acesso em linha:https://hdl.handle.net/20.500.14352/72844
Access Level:acceso abierto
Palavra-chave:517.95
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
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spelling Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examplesChocano Feito, Pedro JoséLuzón, AnaAlonso Morón, ManuelPrieto Martínez, Luis Felipe517.95Ecuaciones diferenciales1202.07 Ecuaciones en DiferenciasWe point out how to use the classical characteristic method, that is used to solve quasilinear PDE's, to obtain the matrix exponential of some lower triangle infinite matrices. We use the Lie Frechet structure of the Riordan group described in [4]. After that we describe some linear dynamical systems in K[[x]] with a concrete involution being a symmetry or a time-reversal symmetry for them. We take this opportunity to assign some dynamical properties to the Pascal Triangle.Universidad Complutense de Madrid20222022-12-3120222022-12-31journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/72844reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/728442026-06-02T12:44:21Z
dc.title.none.fl_str_mv Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
title Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
spellingShingle Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
Chocano Feito, Pedro José
517.95
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
title_short Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
title_full Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
title_fullStr Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
title_full_unstemmed Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
title_sort Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
dc.creator.none.fl_str_mv Chocano Feito, Pedro José
Luzón, Ana
Alonso Morón, Manuel
Prieto Martínez, Luis Felipe
author Chocano Feito, Pedro José
author_facet Chocano Feito, Pedro José
Luzón, Ana
Alonso Morón, Manuel
Prieto Martínez, Luis Felipe
author_role author
author2 Luzón, Ana
Alonso Morón, Manuel
Prieto Martínez, Luis Felipe
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.95
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
topic 517.95
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
description We point out how to use the classical characteristic method, that is used to solve quasilinear PDE's, to obtain the matrix exponential of some lower triangle infinite matrices. We use the Lie Frechet structure of the Riordan group described in [4]. After that we describe some linear dynamical systems in K[[x]] with a concrete involution being a symmetry or a time-reversal symmetry for them. We take this opportunity to assign some dynamical properties to the Pascal Triangle.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-12-31
2022
2022-12-31
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/72844
url https://hdl.handle.net/20.500.14352/72844
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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