12 papers
Roots in the substitution group and in the group of Riordan matrices with ones in the main diagonal
Jorge Calero-Sanz, Luis Felipe Prieto-Martínez
We investigate the existence and uniqueness of iterative roots of order within the substitution group of formal power series -- with coefficients in a commutati…
Riordan pattern's quest within simplicial complexes
Pedro J. Chocano, Ana Luzón, Manuel A. Morón +1
The aim of this paper is twofold. First, we demonstrate how Riordan matrices can be employed to connect well-known concepts in geometric combinatorics, such as -vectors, -vec…
Bi-infinite Riordan matrices: a matricial approach to multiplication and composition of Laurent series
Luis Felipe Prieto-Martínez, Javier Rico
We propose and investigate a bi-infinite matrix approach to the multiplication and composition of formal Laurent series. We generalize the concept of Riordan matrix to this bi-infi…
On the concept of center for geometric objects and related problems
M. Magdalena Martínez-Rico, L. Felipe Prieto-Martínez, R. Sánchez-Cauce
In this work, we review the concept of center of a geometric object as an equivariant map, unifying and generalizing different approaches followed by authors such as C. Kimberling…
The concept of center as an equivariant map and a proof of an analogue of the center conjecture for equifacetal simplices
Luis Felipe Prieto-Martínez
Several authors have remarked the convenience of understanding the different notions of center appearing in Geometry (centroid of a set of points, incenter of a triangle, center of…
A Rellich's result revisited and sensitivity of solutions of parametrized linear systems
José Carlos Bellido, Luis Felipe Prieto-Martínez
In this paper we revisit a result due to Franz Rellich on smoothness of solutions of parametrized linear systems. With this result as a starting point, we obtain finer smoothness r…