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Título:
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Ultrametrics, Banach's fixed point theorem and the Riordan group
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Autores:
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Luzón, Ana ;
Morón, Manuel A.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2008-07-28
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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We interpret the reciprocation process in K[[x]] as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. This allows us to give a dynamical interpretation of certain arithmetical triangles introduced herein. Later we recognize, as it special case of our construction, the so-called Riordan group which is a device used in combinatorics. In this manner we give a new and alternative way to construct the proper Riordan arrays. Our point of view allows us to give a natural metric on the Riordan group turning this group into a topological group. This construction allows us to recognize a countable descending chain of normal subgroups.
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En línea:
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https://eprints.ucm.es/id/eprint/15172/1/10.pdf
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