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El problema paramétrico del emparejamiento en grafos y problema de emparejamiento con dos objetivos
(2019-06)
The minimum (maximum) matching problem is a fundamental problem in combinatorial optimization. The special structure of matching found by Edmonds allows to use different approximations. The idea of this work is to present ...
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Algoritmos fundamentales en computación cuántica
(2019)
At any point in history, we can find examples of problems solved mechanically, but it was in the 20th century with the arrival of computers that the paradigm shifted and the concept of problem-solving changed forever. It ...
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Productos warped en variedades para-hermíticas y para-contacto métricas
(2019)
In this work, we use the warped product as a bridge between two different geometries: para-Hermitian geometry and para-contact metric geometry. We focus our study on slant submanifolds. Firstly, we define them in the ...
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Dinámica de redes mutualistas en redes complejas: una aproximación desde las EDOS
(2019-06)
The aim of this project is to study generalized Lotka-Volterra systems applied in ecology. This work is divided in five parts: The first one is related to study of steady states in Lotka-Volterra model and their local ...
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Teoría de cuerpos de clase y aplicaciones
(2019)
One problems which has lead the advance of number theory since the 20th century until now, is Hilbert’s twelfth problem, a problem which aims to find explicit generators for the maximal abelian extension of each number ...
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Spaces of modular forms. Modular curves and dimensions
(2019-06-20)
The Modularity Theorem states that all rational elliptic curve arise from modular forms. In 1995, Andrew Wiles proved a special case of this theorem (then known as the Taniyama–Shimura conjecture) for semistable elliptic ...
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Operadores universales y subespacios invariantes
(2019)
The Invariant Subspace Problem is one of the most studied problems on Operator Theory in the last decades. In fact, it is still open in the Hilbert space setting. The purpose of this work is to present the most classic ...
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Classical and modern approaches to classification and dimensionality reduction techniques
(2019)
In this thesis, we focus on techniques for dimensionality reduction and classification problems, which facilitate the statistical analysis and interpretation of complex data. In Chapter 1, we present Principal Components ...
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Control de vibraciones de estructuras bajo incertidumbre
(2019)
Tanto la mejora de las propiedades resistentes de los materiales constructivos como los mayores requerimientos estéticos de las sociedades modernas han originado un claro incremento de la esbeltez de las estructuras de ...