Universitat Politècnica de Catalunya
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An algebraic variety defined over a field is said to have Diophantine stability for an extension of this field if the variety does not acquire new points in the extension. Diophantine stability has a growing interest due ...
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 ...
Phylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees whose nodes represent ...
En aquesta tesi interdisciplinar desenvolupem eines algebraiques per a problemes en filogenètica i genòmica. Per estudiar l'evolució molecular de les espècies sovint s'usen models evolutius estocàstics. L'evolució es ...
This doctoral thesis investigates the current distribution in a wind turbine blade when it is struck by lightning. The thesis focuses on the problem of current distribution in blades with carbon fiber spar caps. In the ...
The main objective of this dissertation is the exploration of certain arithmetic applications of the Euler systems of Beilinson--Flach elements and diagonal cycles. Euler systems have been proved to be a very powerful tool ...
El tratamiento intrínseco de cuestiones relacionadas con la Teoría de Control no lineal a través de la aplicación de técnicas propias de la geometría diferencial ha sido en los últimos años un tema de interés para muy ...
The main aim of this thesis is the study of the Bernstein-Sato polynomial of plane curve singularities. In this context, we prove a conjecture posed by Yano about the generic b-exponents of a plane irreducible curve. In ...
This thesis explores classification and perturbation problems for group actions on a class of Poisson manifolds called $b^m$-Poisson manifolds. $b^m$-Poisson manifolds are manifolds which are symplectic away from a ...
[English] In n-dimensional adaptive applications, conformal simplicial meshes must be lo cally modified. One systematic local modification is to bisect the prescribed simplices while surrounding simplices are bisected ...
Mitjançant tècniques geomètriques, abordem les qüestions següents:<br/><br/>(i) Estudi (caracterització, classificació, famílies diferenciables,...) d'una classe destacada de subespais invariants, els anomenats ...
El treball parteix de la idea que l'arquitectura és essencialment geomètrica i vol demostrar que el coneixement de la geometria és imprescindible per a arribar a fer una obra d'arquitectura.<br/>S'estudien uns 30 exemples ...
The traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However, in the beginnings of the 90's, Blaine Lawson and Eric Friedlander developed a different way to study algebraic cycles on ...
Clustering analysis is widely used to stratify data in the same cluster when they are similar according to the specific metrics. We can use the cluster analysis to group the CPU burst of a parallel application, and the ...
The present document exposes a different approach for haptic rendering, defined as the simulation of force interactions to reproduce the sensation of surface relief in dense models. Current research shows open issues in ...
This thesis studies different generalizations of Delaunay triangulations, both from a combinatorial and algorithmic point of view. The Delaunay triangulation of a point set S, denoted DT(S), has vertex set S. An edge uv ...
Based on the study and analysis of existing buildings, and using three-dimensional modeling software, we can understand and thus explain the main mechanisms for historic buildings design and construction, making them ...
Des del document 00TESI.pdf s'accedeix a la resta de documents mitjançant enllaços.<br/><br/>El tamany dels arxius pot retardar la seva descàrrega.
Geometric constraint solving is a central topic in many fields such as parametric solid modeling, computer-aided design or chemical molecular docking. A geometric constraint problem consists of a set geometric objects on ...
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 mechanics. This admits ...
