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Correction to: The chirality theorem
(2018-10)
A brief survey of Higgs bundles
Un estudio conciso de fibrados de Higgs
(2019-06)
Considering a compact Riemann surface of genus greater or equal than
two, a Higgs bundle is a pair composed of a holomorphic bundle over the
Riemann surface, joint with an auxiliar vector field, so-called Higgs field.
This ...
A basic model for the propagation of ideologies
(2022-11)
Ideas and ideologies move the world and are involved in almost every aspect of human life and society. This paper presents a mathematical model for the propagation of two different ideologies in a group of people that could ...
The chirality theorem
(2018-03)
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
Characterization of principal bundles: the noncommutative algebraic case
(2024)
We review Hopf–Galois extensions, in particular faithfully flat ones, accepted to be
the noncommutative algebraic dual of a principal bundle. We also make a short digression
into how quantum groups relate to Hopf—Galois ...
Faltings heights of CM elliptic curves and special Gamma values
(2017-12)
In this paper, we evaluate the Faltings height of an elliptic curve with complex multiplication by an order in an imaginary quadratic field in terms of Euler’s Gamma function at rational arguments.
A multilayer network model of Covid-19: implications in public health policy in Costa Rica
(2022-05)
Successful partnerships between researchers, experts, and public health authorities have been critical to navigate the challenges of the Covid-19 pandemic worldwide. In this collaboration, mathematical models have played ...
Vertical Transmission in a Two-Strain Model of Dengue Fever
(2014)
The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the ...
Drinking as an epidemic - a simple mathematical model with recovery and relapse
(2007)
This chapter discusses a simple mathematical model of drinking lapse. Problem drinking is modeled as an acquired state - the result of frequent or intense interactions among individuals in three drinking states within a ...
Clustering via ant colonies: Parameter analysis and improvement of the algorithm
(2020-04-18)
An ant colony optimization approach for partitioning a set of objects is proposed. In order to minimize the intra-variance, or within sum-of-squares, of the partitioned classes, we construct ant-like solutions by a ...