Browsing Departament de Matemàtica Aplicada IV (fins octubre de 2015) by Subject "514"

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A cotangent bundle Hamiltonian tube theorem and its applications in reduction theory

Teixidó Roman, Miguel (Date of defense: 2015-03-27)

The Marle-Guillemin-Sternberg (MGS) model is an extremely important tool for the theory of Hamiltonian actions on symplectic manifolds. It has been extensively used to prove many local results both in symplectic geometry ...

Geometrical structures of higher-order dynamical systems and field theories

Prieto Martínez, Pere Daniel (Date of defense: 2014-10-02)

Geometrical physics is a relatively young branch of applied mathematics that was initiated by the 60's and the 70's when A. Lichnerowicz, W.M. Tulczyjew and J.M. Souriau, among many others, began to study various topics ...

Problemas Geométricos en Morfología Computacional

Claverol Aguas, Mercè (Date of defense: 2004-07-16)

Esta tesis se divide en dos partes. La primera parte contiene el estudio de tres pesos o profundidades, asociados a conjuntos finitos de puntos en el plano: el peso definido por las capas convexas, convex depth (introducido ...

Una Formalització de les construccions geomètriques

Tramuns Figueras, Eulàlia (Date of defense: 2012-07-18)

Geometric constructions have been studied by mathematicians from ancient Greece until now. Although most attention has been given by the ruler and compass, during the last decades interest in this subject has revived, and ...