Matemática
Recent Submissions
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Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
(2020)There is an isomorphism between the moduli spaces of σ-stable holomorphic triples and some of the critical submanifolds of the moduli space of k-Higgs bundles of rank three, whose elements (E, ϕk ) correspond to variations ... -
Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
(2020)We consider the problem of finding the limit at infinity (corresponding to the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural C ∗ -action on the moduli space. For general rank we provide ... -
Clustering binary data by application of combinatorial optimization heuristics
(2019-08-09)We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial ... -
Estimation of the yield curve for Costa Rica using combinatorial optimization metaheuristics applied to nonlinear regression
(2020-09-20)The term structure of interest rates or yield curve is a function relating the interest rate with its own term. Nonlinear regression models of Nelson-Siegel and Svensson were used to estimate the yield curve using a sample ... -
Using generalized logistics regression to forecast population infected by Covid-19
(2020-04-05)In this work, a proposal to forecast the populations using generalized logistics regression curve fitting is presented. This type of curve is used to study population growth, in this case population of people infected ... -
Estimación de población contagiada por Covid-19 usando regresión Logística generalizada y heurísticas de optimización
(2020-04-02)En este trabajos se presenta una propuesta para la estimación de la poblaciones usando ajuste de curvas del tipo logística. Este tipo de curvas se utilizan para el estudio de crecimiento de poblaciones, en este casos ... -
Geometric goodness of fit measure to detect patterns in data point clouds
(2019)The curse of dimensionality is a commonly encountered problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of ... -
Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime
(2015)We consider a random walk in random environment in the low disorder regime on Zd. That is, the probability that the random walk jumps from a site x to a nearest neighboring site x+e is given by p(e)+ǫξ(x,e), where p(e) is ... -
Esquemas en grupos y torsores
(2019)El principal objetivo es analizar la extensión de un G-torsor dado sobre la fibra genérica de X, donde X=AnRes el espacio afín n-dimensional sobre un anillo de valuación discreta R. Para ello primero se estudiará ... -
Procesos de Levy Cilíndricos: Regularización e Integración
(2020)Para la presentación de los resultados de plantea una estructura de una tesis compuesta de 4 capítulos. Dichos capítulos están descritos acontinuación. En el Capítulo 1 se presentan algunos preliminares necesarios para ... -
Implementación de una plataforma computacional para la solución de PDE's elípticas, mediante FEM y descomposición de dominios BDDC.
(2019)En este trabajo se desarrolla una plataforma computacional en C++-CUDA, la cual introduce una serie de estructuras de datos que simplifican el manejo de memoria en CUDA. En la plataforma también se introducen elementos de ... -
A Geometric Splitting Theorem
(2019)Let G = G1...Gl be a connected noncompact semisimple Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically transitive on a manifold M. We obtain a geometric splitting of the metric on M that consider ... -
REVISTA SERENGUETI 2(1)
(2019-12)Se destaca, de manera general, que la revista Serengueti se compone como una herramienta capaz de incentivar la participación estudiantil, en el cual principalmente se tiene como fin evidenciar y reconocer los esfuerzos ... -
Models of torsors over affine spaces
(2019)Let X := A n R be the n-dimensional affine space over a discrete valuation ring R with fraction field K. We prove that any pointed torsor Y over A n K under the action of an affine finite-type group scheme can be extended ... -
Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
(2019)We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the ... -
The pseudo-fundamental group scheme
(2019)Let X be any scheme defined over a Dedekind scheme S with a given section x ∈ X (S). We prove the existence of a pro-finite S-group scheme א (X,x) and a universal א (X,x)-torsor dominating all the pro-finite pointed torsors ... -
Notas de lógica EMALCA 2019
(2019)Estas notas fueron utilizadas en el curso Introducción a la Lógica durante la EMALCA organizada por el CIMPA en la sede del Atlántico en 2019. La lógica matemática es un área de matemática que estudia el lenguaje formal ... -
Location of the zeros of certain parametric families of functions of generalized Fresnel integral type
(2019)In this paper, two parametric families of functions, the so-called Complementary Fresnel Integral and the Lommel type, which are of generalized Fresnel integral type, are considered. We review the problems of existence ... -
Las partículas elementales según Wigner: aspectos clásicos y cuánticos
(2019)En 1939, Wigner clasificó las representaciones unitarias irreducibles del grupo de Poincaré; desde entonces, tales representaciones se identifican con partículas con simetría relativista. Se conocen las representaciones ... -
Isometry groups of borel randomizations
(2018-08)We study global dynamical properties of the isometry group of the Borel randomization of a separable complete structure. In particular, we show that if properties such as the Rohklin property, topometric generics, extreme ...
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