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

DOI10.1016/j.jmaa.2023.127989arXiv2301.00173MaRDI QIDQ6140914

Manuel Alonso-Morón, Pedro J. Chocano, L. Felipe Prieto-Martinez, Ana Luzón

Publication date: 2 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.00173

zbMATH Keywords

dynamical systemsLie groupcharacteristic methodRiordan groupPascal's triangle

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Other matrix groups over fields (20H20) General properties and structure of other Lie groups (22E20)

Cites Work

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• Iterative processes related to Riordan arrays: the reciprocation and the inversion of power series
• Ultrametrics, Banach's fixed point theorem and the Riordan group
• Time-reversal symmetry in dynamical systems: a survey
• The Riordan group
• Finite and infinite dimensional Lie group structures on Riordan groups
• The Matrices of Pascal and Other Greats
• Reversibility in Dynamics and Group Theory
• Pro-Lie groups which are infinite-dimensional Lie groups
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Algebra, geometry, and topology of the substitution group of formal power series
• Substitution Groups of Formal Power Series
• Some inverse limit approaches to the Riordan group

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