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Discretización de las Ecuaciones de Maxwell y Yang-Mills
(Universidad Nacional de Colombia, Sede Medellín, 2023)
El cálculo exterior discreto tiene una gran utilidad en los cálculos que se hacen en algunas teorías que, en principio, son difíciles de efectuar. Pasar de un modelo continuo a un modelo discreto tiene sus ventajas al ...
Discrete stratified Morse theory for 2-dimensional simplicial complexes
(2020-04-30)
The main objective of this thesis is to analyze a generalization of Morse's theory in the case of stratified spaces. The content is divided into three main parts. In the first part we present the background of the classical ...
Geometric, dynamical, and topological considerations of horseshoe-type functions
(Universidad Nacional de Colombia, 2023)
In this thesis we will address the study of a version of the Smale’s horseshoe function and the baker’s function, along with their dynamical properties, from a topological perspective. To this end, fundamental notions ...