Torres-Sánchez, Alejandro (Date of defense: 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 ...
Klymchuk, Tetiana (Date of defense: 2019-06-21)
We develop the theory of perturbations of matrix pencils basing on their miniversal deformations. Several applications of this theory are given. All possible Kronecker pencils that are canonical forms ...
Ruiz Muñoz, José Luis (Date of defense: 2017-07-18)
A graph consists of a finite non-empty set of vertices and a set of unordered pairs of vertices, called edges. A dominating set of a graph is a set of vertices D such that every vertex not in D is ...
Luna Mota, Carlos (Date of defense: 2016-02-01)
For a given cost matrix and a given communication requirement matrix, the OCSTP is defined as finding a spanning tree that minimizes the operational cost of the network. OCST can be used to design of ...
Torre Pedraza, Azahara de la (Date of defense: 2016-12-19)
My research is based on non-local elliptic semilinear equations in conformal geometry. The fractional curvature is defined from the conformal fractional Laplacian and it is a non-local version of some ...
Rivas Guijarro, Xavier (Date of defense: 2021-12-17)
Many important theories in modern physics can be stated using the tools of differential geometry. It is well known that symplectic geometry is the natural framework to deal with autonomous Hamiltonian ...
Jiménez Ramos, Albert (Date of defense: 2023-06-28)
(English) To simulate unsteady phenomena on complex moving geometry, computational scientists and engineers have been interested in unstructured space-time discretizations. These space-time discretizations ...
Aparicio Estrems, Guillermo (Date of defense: 2023-04-26)
(English) To enhance the simulation accuracy when the solution presents sharp curved features, the community of high-order methods has started to curve not only the boundary but also the interior of ...
Mirza, Waleed Ahmad (Date of defense: 2023-02-16)
(English)The structure and dynamics of important biological systems, ranging from cytoskeletal gels to tissues, are controlled by an interplay between activity, dissipation, nematic order, density, and ...
Martínez Pinilla, Ramiro (Date of defense: 2023-09-29)
(English) The main goal of this dissertation is to develop new lattice-based cryptographic schemes. Most of the cryptographic protocols that each and every one of us use on a daily basis are only secure ...