Matemática
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Ley de grandes números en medio ambiente aleatorio
(2020)Las condiciones (T)γ,γ ∈ (0,1) introducidas por Sznitman en 2002 tienen un significante impacto en el estudio de caminatas aleatorias sobre medios aleatorios (RWRE) . Este tipo de caminatas modelan, por ejemplo, el movimiento ... -
Parte prima a p del esquema fundamental en grupos sobre anillos de valuación discreta
(2020-11-17)Si X es un esquema propio, suave y conexo sobre Spec(R), para R un anillo de valuación discreta completo, dotado de una sección x: Spec(R) -> X, es posible construir los esquemas fundamentales en grupos pi_1(X,x) y ... -
A brief survey of Higgs bundles
(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 ... -
Correction to: The chirality theorem
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The Kirillov picture for the Wigner particle
(2018-06)We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, ... -
String chopping and time-ordered products of linear string-localized quantum fields
(2018-03)For a renormalizability proof of perturbative models in the Epstein-Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered products of the interaction ... -
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. -
On the kinematics of the last Wigner particle
(2019)Wigner's particle classification provides for "continuous spin" representations of the Poincaré group, corresponding to a class of (as yet unobserved) massless particles. Rather than building their induced realizations by ... -
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 ...
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