Estudio geométrico de familias diferenciales de parejas de motrices: deformaciones versales, cambios de base globales, estratificación de Brunovsky 

    García Planas, María Isabel (Date of defense: 1994-12-15)

    Las ecuaciones de sistemas lineales de la forma: X'(S)= AX(S) + BU(S) O X (K+1) = AX (K) + BU (K) se identifican de manera natural con las parejas de matrices (A, B) modulo uno, relación de equivalencia que se corresponde ...

    Propagació d'informació en grafs i digrafs que modelen xarxes d'interconnexió simètriques 

    Mitjana, Margarida (Date of defense: 1999-03-11)

    L'objectiu d'aquesta tesi és aprofondir en l'estudi d'una certa família de dígrafs, els dígrafs de prefix-cicle, donant nous detalls sobre la seva estructura, noves maneres d'enfocar el seu estudi, i dissenyant bons esquemes ...

    Dynamical Analysis of Lower Abdominal Wall in the Human Inguinal Hernia 

    Fortuny Anguera, Gerard (Date of defense: 2009-02-20)

    En aquesta tesi es construeix un simulador numèric de la paret abdominal inferior, per tal de determinar la gènesis i les causes de les hernies inguinal humanes. Així, un model amb dades reals d'aquesta regió del cos humà ...

    Analytic and numerical tools for the study of quasi-periodic motions in hamiltonian systems. 

    Luque Jimenez, Alejandro (Date of defense: 2010-01-12)

    És un fet ben conegut que les solucions quasi-periòdiques juguen un paper rellevant a l'hora d'entendre la dinàmica de problemes amb formulació hamiltoniana, els quals apareixen en una gran quantitat d'aplicacions en ...

    The equations of Rees algebras of ideals of almost-linear type 

    Muiños Bellester, Ferran (Date of defense: 2011-10-03)

    L’àlgebra de Rees R(I) d’un ideal I d’un anell Noetherià local R juga un paper molt important en àlgebra commutativa i geometria algebraica, perquè Proj(R(I)) és l’explosió (blowup) de l’esquema afí Spec(R) al llarg del ...

    Haar Wavelets-Based Methods for Credit Risk Portfolio Modeling 

    Ortiz Gracia, Luis (Date of defense: 2011-11-24)

    In this dissertation we have investigated the credit risk measurement of a credit portfolio by means of the wavelets theory. Banks became subject to regulatory capital requirements under Basel Accords and also to the ...

    Explicit integration of some integrable systems of classical mechanics 

    Basak Gancheva, Inna (Date of defense: 2011-11-28)

    The main objective of the thesis is the analytical and geometrical study of several integrable finite-dimentional dynamical systems of classical mechanics, which are closely related, namely: - the classical generalization ...

    Monodromías geométricas en familias de curvas de género 4 

    Berna Sepúlveda, Isabel (Date of defense: 2012-02-10)

    The goal of the thesis is the effective computation of the geometric monodromy, equivalently the monodromy in the fundamental group, for families of compact connected Riemann surfaces (complex algebraic curves) of genus ...

    Algebraic tools in phylogenomics. 

    Kedzierska, Anna Magdalena (Date of defense: 2012-03-16)

    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 ...

    Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds 

    Granados Corsellas, Albert (Date of defense: 2012-09-17)

    In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special type of organizing ...

    Homoclinic phenomena in conservative systems 

    Gonchenko, Marina (Date of defense: 2013-04-29)

    The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving maps and Hamiltonian systems). We consider homoclinic (bi-asymptotic) orbits either to saddle periodic orbits or to whiskered ...

    Hodge numbers of irregular varieties and fibrations 

    González Alonso, Víctor (Date of defense: 2013-07-08)

    In this thesis we study the geography of irregular complex projective (or compact Kähler) varieties, paying special attention to the existence of fibrations. The thesis is divided into two parts. In the first one we ...

    On geometric quantisation of integrable systems with singularities 

    Barbieri Solha, Romero (Date of defense: 2013-10-21)

    This thesis shows an approach to geometric quantisation of integrable systems. It extends some results by Guillemin, Kostant, Rawnsley, Sniatycki and Sternberg in geometric quantisation, considering regular fibrations as ...

    Global instability in the elliptic restricted three body problem 

    Rosa Ibarra, Abraham de la (Date of defense: 2014-06-16)

    The goal of this thesis is to show global instability or Arnold's diffusion in the elliptic restricted three body problem (ERTBP) by proving the existence of pseudo-trajectories diffusing along the phase space for certain ...

    Elliptic and parabolic PDEs : regularity for nonlocal diffusion equations and two isoperimetric problems 

    Serra Montolí, Joaquim (Date of defense: 2014-06-17)

    The thesis is divided into two parts. The first part is mainly concerned with regularity issues for integro-differential (or nonlocal) elliptic and parabolic equations. In the same way that densities of particles with ...

    Integro-differential equations : regularity theory and Pohozaev identities 

    Ros, Xavier (Date of defense: 2014-06-19)

    The main topic of the thesis is the study of Elliptic PDEs. It is divided into three parts: (I) integro-differential equations, (II) stable solutions to reaction-diffusion problems, and (III) weighted isoperimetric and ...

    Propagation in reaction-diffusion equations with fractional diffusion 

    Coulon, Anne-Charline (Date of defense: 2014-07-07)

    This thesis focuses on the long time behaviour of solutions to Fisher-KPP reaction-diffusion equations involving fractional diffusion. This type of equation arises, for example, in spatial propagation or spreading of ...

    Beyond the classical Stefan problem 

    Font Martínez, Francesc (Date of defense: 2014-07-18)

    In this thesis we develop and analyse mathematical models describing phase change phenomena linked with novel technological applications. The models are based on modifications to standard phase change theory. The mathematical ...

    Evolutionary dynamics of populations with genotype-phenotype map 

    Ibáñez Marcelo, Esther (Date of defense: 2014-12-19)

    In this thesis we develop a multi-scale model of the evolutionary dynamics of a population of cells, which accounts for the mapping between genotype and phenotype as determined by a model of the gene regulatory network. ...

    Dynamics and control of tethered satellite formations in low-Earth orbits 

    Fedi Casas, Manrico (Date of defense: 2015-04-24)

    This thesis is focused on the study of dynamics and control of a multi-tethered satellite formation, where a multi-tethered formation is made up with several satellites (agents) connected by means of cables (tethers). The ...