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Browsing Maestría by Author "Valdez Lorenzo, José Ferrán"

Browsing Maestría by Author "Valdez Lorenzo, José Ferrán"

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  • Billares y superficies planas 
    Méndez González, Miguel Angel (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2014-06)
    In this work we study the dynamics of polygonal billiards. This leads to the study of geodesic flows in surfaces having planar structures (planar surfaces, for short). We focus our study on a classical result of William ...
  • Cono de medidas transversas en laminaciones geodésicas de tipo infinito 
    Anguiano Huitrón, Néstor Uriel (Universidad Michoacana de San Nicolas de Hidalgo, 2024-12)
    Based on the work of Mladen Bestvina and Alexander J. Rasmussen [BR22], we study the cone of transverse measures M(L) to a fixed geodesic lamination L on an infinite-type hyperbolic surface of the first kind S. First, we ...
  • Grupo de Veech en superficies planas asociadas a billares irracionales 
    Apaza Pérez, Willy Alejandro (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2013-07)
    The notion of a game of pool in a rectangular table can be abstracted and be studied from a mathematical point of view, where the pool table can take the form of an arbitrary polygon and consider the trajectory of the ball ...
  • Hiperbolicidad uniforme del complejo de curvas 
    Morales Jiménez, Israel (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2016-01)
    Given a surface of finite type S, the complex curves C(S) is an abstract simplicial complex associated to the surface S where the vertices are all isotopy class of essential simple closed curves and the k?simplex are ...
  • Teorema de clasificación de superficies no compactas 
    Rodríguez Portillo, Kevin Josué (Universidad Michoacana de San Nicolás de Hidalgo, 2021-09)
    The objective of this work is to present a proof of the Kerékjártó Theorem which states that every surface S is completely determined up to homeomorphisms by five topological invariants: the genus g(S) Є ᴜ N {∞}, orientability ...
  • Topología de permutación en el mapping class group de una superficie 
    Molina Medrano, Oscar Rutilio (Universidad Michoacana de San Nicolás de Hidalgo, 2022-03)
    The present work aims to define a topology in the modular group of an orientable surface that coincides with the topology inherited from the compact-open topology. This topology is determined by the action of the modular ...

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