Listar Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC) por título
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A characterization of a local vector valued Bollobás Theorem
Springer Nature (2021-07-30)In this paper, we are interested in giving two characterizations for the so-called property Lo,o, a local vector valued Bollobás type theorem. We say that (X, Y) has this property whenever given ε>0 and an operador T:X→Y, ... -
A dichotomy property for locally compact groups
Elsevier (2018-08)We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ... -
A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators
IOP (2018-03)We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto–Reutenauer ... -
A Geometrical Study about the Biparametric Family of Anomalies in the Elliptic Two-Body Problem with Extensions to Other Families
MDPI (2024-02)In the present paper, we efficiently solve the two-body problem for extreme cases such as those with high eccentricities. The use of numerical methods, with the usual variables, cannot maintain the perihelion passage ... -
A Modified SIRD Model to Study the Evolution of the COVID-19 Pandemic in Spain
Multidisciplinary Digital Publishing Institute (2021-04-19)In this paper, we use an SIRD model to analyze the evolution of the COVID-19 pandemic in Spain, caused by a new virus called SARS-CoV-2 from the coronavirus family. This model is governed by a nonlinear system of ... -
A note on the Baker–Campbell–Hausdorff series in terms of right-nested commutators
Springer (2021-01-27)We get compact expressions for the Baker–Campbell–Hausdorff series Z = log(eX eY ) in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a starting point an ... -
A numerical technique for applying time splitting methods in shallow water equations
(2018-06-30)In this paper we analyze the use of time splitting techniques for solving shallow water equations. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock ... -
A review of spatiotemporal models for count data in R packages. A case study of COVID-19 data
MDPI (2021-07-01)Spatiotemporal models for count data are required in a wide range of scientific fields, and they have become particularly crucial today because of their ability to analyze COVID-19- related data. The main objective of this ... -
A Unifying Framework for Perturbative Exponential Factorizations
MDPI (2021-03-17)We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds the product expansion. In this scheme, ... -
Achievable connectivities of Fatou components for a family of singular perturbations
American Institute of Mathematical Sciences (2022-09)In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps ... -
An Accurate and Easy to Interpret Binary Classifier Based on Association Rules Using Implication Intensity and Majority Vote
Multidisciplinary Digital Publishing Institute (2021-06-01)In supervised learning, classifiers range from simpler, more interpretable and generally less accurate ones (e.g., CART, C4.5, J48) to more complex, less interpretable and more accurate ones (e.g., neural networks, SVM). ... -
Applying splitting methods with complex coefficients to the numerical integration of unitary problems
American Institute of Mathematical Sciences (AIMS) (2022)We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation. We prove that a particular class of integrators are conjugate to unitary ... -
Archetypal Curves in the Shape and Size Space: Discovering the Salient Features of Curved Big Data by Representative Extremes
Springer (2023)Curves are complex data. Tools for visualizing, exploring, and discovering the structure of a data set of curves are valuable. In this paper, we propose a scalable methodology to solve this challenge. On the one hand, ... -
Arens regularity of ideals of the group algebra of a compact Abelian group
Cambridge University Press (2023-10-27)Let G be a compact Abelian group and E a subset of the group Gˆ of continuous characters of G . We study Arens regularity-related properties of the ideals L1E(G) of L1(G) that are made of functions whose ... -
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
IEEE (2020-01-17)The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ... -
Best Approximation Results for Fuzzy-Number-Valued Continuous Functions
MDPI (2023-02)In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a ... -
Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space
Springer (2023-09-04)Let be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space of Bloch functions on . Using Lipschitz continuity of the dilation map on given by for , where denotes the ... -
Challenges Regarding Scientific Transcription in Virtual Office Hours
MDPI (2021-03-24)Mathematics teachers face great difficulties during virtual communication with their students, mainly because scientific and technical subjects use a great many mathematical symbols, abstract objects and a wide variety ... -
Classical and Quantum Evaluation Codesat the Trace Roots
IEEE (2019-04)We introduce a new class of evaluation linear codes by evaluating polynomials at the roots of a suitable trace function. We give conditions for self-orthogonality of these codes and their subfield-subcodes with respect to ... -
Clustering constrained on linear networks
Springer (2023)An unsupervised classification method for point events occurring on a geometric network is proposed. The idea relies on the distributional flexibility and practicality of random partition models to discover the clustering ...