RESEARCH

Centers of Polygons, Riordan Group, Applied Linear Algebra, Plane Geometry, Metric Spaces, Symmetry.

ORCID 0000-0002-7825-4743. 

WoS ABI-1670-2020

1. A. Luzón, D. Merlini, M. A. Morón, L. F. Prieto-Martínez, R. Sprugnoli, Some inverse limit approaches to the Riordan group, Linear Algebra and its Applications 491 (2016), 239-262.

2. A. M. Luzón, M. A. Morón, L. F. Prieto-Martínez, A formula to construct all involutions in the Riordan matrix group, Linear Algebra and its Applications 533 (2017), 397-417.

3. G. S. Cheon, A. Luzón, M. A. Morón, L. F. Prieto-Martínez, M. Song, Finite and infinite dimensional Lie group structures on Riordan groups, Advances in Mathematics 319 (2017), 522-566.

4. L. F. Prieto-Martínez, Geometric continuity in terms of Riordan matrices and the F-chordal Problem, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Seria A, Matemáticas, 115 (2021). (LINK TO PREPRINT)

5. L. F. Prieto-Martínez, R. Sánchez-Cauce, Generalization of Kimberling's concept of triangle center for other polygons, Results in Mathematics 76 (2021). (LINK TO PREPRINT) 

6. A. M. Luzón, M. A. Morón, L. F. Prieto-Martínez, The group generated by Riordan involutions, Revista Matemática Complutense (2022). (LINK TO PREPRINT).

7. L. F. Prieto-Martínez, A solution to two old problems by Menger concerning angle spaces, Mediterranean Journal of Mathematics 19 (2022). (LINK TO PREPRINT).

8. A. M. Luzón, M. A. Morón, L. F. Prieto-Martínez, Commutators and commutator subgroups of the Riordan group, Advances in Mathematics 428 (2023) (LINK TO PREPRINT)

9. P. J. Chocano, A. M. Luzón, M. A. Morón, L. F. Prieto-Martínez, Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples, Journal of Mathematical Analysis and Applications 532.1 (2024) (LINK TO PREPRINT)

10. J. C. Bellido, L. F. Prieto-Martínez, Existence and uniqueness of solutions for Leontief ’s Input-Output Model, graph theory and sensitivity analysis. Linear and Multilinear Algebra (2024) (LINK TO PREPRINT).

11.  M. Farré Puiggalí. L. F. Prieto-Martínez, n-gon centers and central lines. Aequationes Mathematicae (IN PRESS). (LINK TO PREPRINT)

PREPRINTS

• L. F. Prieto-Martínez, The relation between symmetries and coincidence and collinearity of polygon centers and centers of multisets of points in the plane  (LINK TO PREPRINT)

• J. C. Bellido, L. F. Prieto-Martínez,  A Rellich's results revisited and sensitivity of solutions of parametrized linear systems (LINK TO PREPRINT).

• L. F. Prieto-Martínez, The concept of center as an equivariant map and a proof of an analogue of the center conjecture for equifacetal simplices (LINK TO PREPRINT)

• A. Luzón, M. A. Morón, L. F. Prieto-Martínez, Pascal's Triangle, Stirling's Numbers and the Euler Characteristic (CHAPTER OF A BOOK) A mathematical Tribute to Professor José María Montesinos Amibilia. M. Castrillón, E. Martín Peinador y J. M. Sanjurjo (Ed.), Departamento de Geometría y Topología UCM (2016), 453-462.

• L. F. Prieto Martínez, Tesis Doctoral: Algebra, Geometry and Topology of the Riordan Group (PhD THESIS) Universidad Autónoma de Madrid, Directores: A. M. Luzón, M. A. Morón (2017).

• J. P. Moreno, L. F. Prieto-Martínez, El Problema de los Triángulos de Kobon, La Gaceta de la RSME 24.1 (2021), 111-130.

• L. F. Prieto-Martínez, Unsolved Problems in Plane Geometry, For the Learning of Mathematics,  41.3 (2021). This article will be separated in several numbers in this same journal. The first one is the one cited above.  An old version of the complete paper can be found here (PREPRINT).

• The derived series of the Riordan group (July 2015, Lecco). 2th international symposium in Riordan arrays and related topics.

• The Riordan Group and the f-vector problem (July 2017, Madrid). 4th international symposium in Riordan arrays and related topics.

• Centros de Polígonos (en vídeo) (Mayo 2021). XVI Congreso Antonio Montero.

• First-order perturbation theory for linear systems and applications (Junio 2022, Alcalá de Henares). 7º encuentro bienal de la red ALAMA.

• Geometric continuity, Riordan matrices and applications (Junio 2022, Galway). 24º conference of the International Linear Algebra Society.

• Una aproximación matricial al grupo de sustitución (Junio 2024, Móstoles). Seminario URJC.