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Geometrical correlation indices using homological constructions on manifolds
(2018)
Abstract The course of dimensionality is a common 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 problems. ...
The role of short-term immigration on disease dynamics: An SIR model with age-structure
El rol de la inmigración en periodos cortos sobre la dinámica de enfermedades: un modelo sir con estructura de edad
(2019-02-18)
We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the population as any of the three stages in the ...
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 ...
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 ...
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 ...
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 ...
Virtual Coarse Spaces for Irregular Subdomain Decompositions
(2020-10-25)
On the other hand, Virtual Element Methods (VEM) [1, 12, 13] allow to handle general polygonal elements. In the case of triangular elements, VEM reduces to the usual FEM. Thus, VEM is a natural choice for constructing space ...
Definable Additive Subgroups of Partial Differential Fields of Characteristic Zero with an Automorphism
(2020-10-19)
Abstract.The theory of partial differential fields of characteristic zero withan automorphism has a model companion denoted DCFmA. This theory isnot complete, but its completions are easily discribed. They are supersimpleand ...
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 ...
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 ...