Browsing Departament de Matemàtica Aplicada I (fins octubre de 2015) by Title

Now showing items 21-27 of 27

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 ...

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 ...

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 ...

Singular phenomena in the length spectrum of analytic convex curves

Tamarit Sariol, Anna (Date of defense: 2015-07-06)

Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0<p<q relatively prime integers, there exist at least two (p,q)-periodic trajectories inside Q. The main goal of this thesis ...

Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony

Castejón i Compnay, Oriol (Date of defense: 2015-07-16)

The main object of study of this thesis are invariant manifolds in the field of dynamical systems. We deal with two different and independent topics, namely, the study of exponentially small splitting of invariant manifolds ...

Subespacios hiperinvariantes y característicos : una aproximación geométrica

Montoro López, Ma. Eulàlia (Date of defense: 2015-05-12)

The aim of this thesis is to study the hyperinvariant and characteristic subspaces of a matrix, or equivalently, of an endomorphism of a finite dimensional vector space. We restrict ourselves to the case of matrices A with ...

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 ...