The geometry and topology of steady Euler flows, integrability and singular geometric structures 

    Cardona Aguilar, Robert (Fecha de defensa: 2021-05-26)

    In this thesis, we make a deep investigation of the geometry and dynamics of several objects (singular or not) appearing in nature. The main goal is to study rigidity versus flexibility dynamical behavior of the objects ...

    The role of hyperbolic invariant objects: From Arnold diffusion to biological clocks 

    Huguet Casades, Gemma (Fecha de defensa: 2008-10-16)

    El marc d'aquesta tesi són els objectes invariants hiperbòlics (tors amb bigotis, cicles límit, NHIM,. . .), que constitueixen, per aquesta tesi, els objectes essencials per a l'estudi de diversos problemes des de la difusió ...

    A theoretical and computational study of soft adhesion mediated by mobile binders 

    Kaurin, Dimitri (Fecha de defensa: 2018-10-29)

    We examine a classical problem in soft-matter physics: the specific adhesion between deformable elastic objects, such as vesicles, mediated by mobile adhesion molecules. This problem is relevant to cell-cell adhesion. To ...

    A theoretical and computational study of the mechanics of biomembranes at multiple scales 

    Torres-Sánchez, Alejandro (Fecha de defensa: 2017-07-11)

    Lipid membranes are thin objects that form the main separation structure in cells. They have remarkable mechanical properties; while behaving as a solid shell against bending, they exhibit in-plane fluidity. These two ...

    Theory and computation of multiscale epithelial mechanics : from active gels to vertex models 

    Ouzeri, Adam Amine (Fecha de defensa: 2023-06-14)

    (English) Epithelial monolayers perform a variety of mechanical functions, which include maintaining a cohesive barrier or developing 3D shapes, while undergoing stretches over a wide range of magnitudes and loading rates. ...

    Theta correspondences and arithmetic intersections 

    Gutiérrez Terradillos, Armando (Fecha de defensa: 2023-05-26)

    (English) The thesis is mainly divided into two parts. In essence, the first one is an extension of the paper [Ter22]. Using the regularized Siege-Weil formula of [GQT14] we obtain an explicit expression for the truncated ...

    Theta-duality in abelian varieties and the bicanonical map of irregular varieties 

    Lahoz Vilalta, Marti (Fecha de defensa: 2010-05-18)

    The first goal of this Thesis is to contribute to the study of principally polarized abelian varieties (ppav), especially to the Schottky and the Torelli problems. Ppav admit a duality theory analogous to that of projective ...

    Threshold phenomena involving the connected components of random graphs and digraphs 

    Coulson, Matthew John (Fecha de defensa: 2021-12-13)

    We consider some models of random graphs and directed graphs and investigate their behavior near thresholds for the appearance of certain types of connected components. Firstly, we look at the critical window for the ...

    Unstable motions in the three body problem 

    Paradela Díaz, Jaime (Fecha de defensa: 2023-06-30)

    (English) The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. ...