Matemática
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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 ... -
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
(2018)A new extension operator for a virtual coarse space is presented which can be used in domain decomposition methods for nodal elliptic problems in two dimensions. In particular, a two-level overlapping Schwarz algorithm is ... -
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
(2015)A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable ... -
An overlapping Schwarz method for virtual element discretizations in two dimensions
(2019)A new coarse space for domain decomposition methods is presented for nodal ellipticproblems in two dimensions. The coarse space is derived from the novel virtual elementmethods and therefore can accommodate quite irregular ... -
A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains
(2019)A new coarse space for a two-level overlapping Schwarz algorithm is presented for problems posed in three dimensions in the space H(curl, Ω). Previous studies for these methods are very restrictive about the geometry of ... -
Parallel Sums and Adaptive BDDC Deluxe
(2017)There has recently been a considerable activity in developing adaptive methods for the selection of primal constraints for BDDC algorithms and, in particular, for BDDC deluxe variants. The primal constraints of a BDDC or ... -
The role of short-term immigration on disease dynamics: An SIR model with age-structure
(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 ... -
Groups with f-generics in NTP2 and PRC fields
(2018)We study groups with f-generic types definable in bounded PRC fields. Along the way, we generalize part of the basic theory of definably amenable NIP groups to NTP2theories and prove variations on Hrushovski’s stabilizer theorem. -
Imaginaries, invariant types and pseudo p-adically closed fields
(2019-04-29)In this paper, we give a general criterion for elimination of imaginaries using an abstract independence relation. We also study germs of definable functions at certain well-behaved invariant types. Finally we apply these ...
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