Examinando por Autor "Chocano, Pedro J."

Mostrando 1 - 5 de 5

A New Robust Approach for Multinomial Logistic Regression With Complex Design Model
(IEEE, 2022-06-29) Castilla, Elena; Chocano, Pedro J.
Robust estimators and Wald-type tests are developed for the multinomial logistic regression based on φ-divergence measures. We compute the influence function of the proposed estimators and tests and discuss some consequences. Their robustness is illustrated by an extensive simulation study and two real examples.
Characteristic curves and the exponentiation in the Riordan Lie group: A connection through examples
(Elsevier, 2023) Chocano, Pedro J.; Luzón, Ana; Morón, Manuel A.; Prieto–Martínez, Luis Felipe
We 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.
On the dynamics of the combinatorial model of the real line
(Taylor and Francis, 2023-04-09) Chocano, Pedro J.
We study dynamical systems defined on the combinatorial model of the real line. We prove that using single-valued maps there are no periodic points of period 3, which contrasts with the classical and less restrictive setting. Then, we use Vietoris-like multivalued maps to show that there is more flexibility, at least in terms of periods, in this combinatorial framework than in the usual one because we do not have the conditions about the existence of periods given by the Sharkovski Theorem.
Realization of finite groups as isometry groups and problems of minimality
(Wiley, 2024-11-10) Chocano, Pedro J.
A finite group 𝐺 is said to be realized by a finite subset 𝑉 of a Euclideanspace ℝ 𝑛 if the isometry group of 𝑉 is isomorphic to 𝐺. We prove that everyfinite group can be realized by a finite subset 𝑉 ⊂ ℝ|𝐺| consisting of |𝐺|(|𝑆| + 1)(≤ |𝐺|(log 2 (|𝐺|) + 1)) points, where 𝑆 is a generating system for 𝐺. We define𝛼(𝐺) as the minimum number of points required to realize 𝐺 in ℝ 𝑚 for some𝑚. We establish that |𝑉| provides a sharp upper bound for 𝛼(𝐺) when consider-ing minimal generating sets. Finally, we explore the relationship between 𝛼(𝐺)and the isometry dimension of 𝐺, that is, defined as the least dimension of theEuclidean space in which 𝐺 can be realized.
Realizing regular representations of finite groups
(Elsevier, 2024-10-11) Chocano, Pedro J.
Given a regular representation of a finite group G and a positive integer number n, we construct a (finite) topological space X such that its group of homotopy classes of selfhomotopy equivalences E(X) and its group of homeomorphisms Aut(X) are isomorphic to G, and the action of G on the n-th homology group Hn(X) is the regular representation. We also discuss other representations