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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. ...
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 ...
Clifford Geometry: a Seminar
(1995-12-15)
Este documento fue desarrollado durante el seminario de posgrado SP--1313 (Seminario en Matemática A) en 1995; por razones de difusión, fue redactado en inglés. Se trata de una exposición de los aspectos de la geometría ...
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 ...
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.
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 ...
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 ...
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 ...
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 ...