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

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dc.contributor.authorChocano, Pedro J.
dc.contributor.authorLuzón, Ana
dc.contributor.authorMorón, Manuel A.
dc.contributor.authorPrieto–Martínez, Luis Felipe
dc.date.accessioned2024-04-04T11:24:11Z
dc.date.available2024-04-04T11:24:11Z
dc.date.issued2023
dc.descriptionWe thank the editor and the referee for taking the necessary time and effort to review this manuscript. We sincerely appreciate all their valuable comments and suggestions, which strongly improved the previous version of the manuscript. The authors have been supported by Spanish Government Grant PID2021-126124NB-I00.es
dc.description.abstractWe 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 Fréchet structure of the Riordan group described in [4]. After that, we describe some linear dynamical systems in with a concrete involution being a symmetry or a time-reversal symmetry for them. We take this opportunity to assign some dynamical properties to Pascal's triangle.es
dc.identifier.citationPedro J. Chocano, Ana Luzón, Manuel A. Morón, Luis Felipe Prieto–Martínez, Characteristic curves and the exponentiation in the Riordan Lie group: A connection through examples, Journal of Mathematical Analysis and Applications, Volume 532, Issue 1, 2024, 127989, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2023.127989es
dc.identifier.doi10.1016/j.jmaa.2023.127989es
dc.identifier.issn1096-0813
dc.identifier.urihttps://hdl.handle.net/10115/31989
dc.language.isoenges
dc.publisherElsevieres
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectRiordan groupes
dc.subjectCharacteristic methodes
dc.subjectPascal's trianglees
dc.subjectDynamical systemses
dc.subjectLie groupes
dc.titleCharacteristic curves and the exponentiation in the Riordan Lie group: A connection through exampleses
dc.typeinfo:eu-repo/semantics/articlees

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