El mètode APT (Auto Adjusting Perturbation Theory) de diagonalització de matrius

Es presenta un nou algorisme per a la diagonalització de matrius amb diagonal dominant. Es mostra la seva eficàcia en el tractament de matrius no simètriques, amb elements definits sobre el cos complex i, fins i tot, de grans dimensions. Es posa de manifest la senzillesa del mètode així com la facilitat d'implementació en forma de codi de programació. Es comenten els seus avantatges i característiques limitants, així com algunes de les millores que es poden implementar. Finalment, es mostren alguns exemples numèrics

Front spreading in population dynamic models. Theory and application to the Neolithic transition

This thesis presents population dynamics models that can be applied to predict the rate of spread of the Neolithic transition (change from hunter-gathering to farming economics) across the European continent, which took place about 9000 to 5000 years ago. The first models in this thesis provide predictions at a continental scale. We develop population dynamics models with explicit kernels and apply realistic data. We also derive a new time-delayed reaction-diffusion equation which yields speeds about a 10% slower than previous models. We also deal with a regional variability: the slowdown of the Neolithic front when reaching the North of Europe. We develop simple reaction-diffusion models that can predict the measured speeds in terms of the non-homogeneous distribution of pre-Neolithic (Mesolithic) population in Europe, which were present in higher densities at the North of the continent. Such models can explain the observed speeds.

The relationship of language development to theory of mind understanding in young deaf children

This paper studies cognitive development in young deaf children, specifically Theory of Mind development and its link to language abilities.

Research on theory of mind in deaf education

Prior research has shown that theory of mind (ToM) development is delayed in children who are deaf and hard of hearing. Although research has demonstrated a delay in ToM development in children who are deaf and hard of hearing there are not many suggestions for how ToM is or should be addressed in deaf education. The current research addressed this issue by compiling an extensive literature review and sending 113 surveys’ to OPTION schools for the deaf around the country.

Representación de la sociedad de la información como cotidianidad tecnificada e incomunicación: estudio de "The big bang theory"

Este trabajo de investigación pretende demostrar, a través de un producto televisivo como es The Big Bang Theory, que la sociedad contemporánea experimenta la comunicación y otros procesos de forma distinta a los modelos tradicionales, principalmente por la irrupción de la tecnología en la vida cotidiana. La comunicación, a través de la propuesta de la Escuela de Palo Alto, debe entenderse como un sistema de intercambio no solo de información sino de otros elementos que permiten construir relaciones incluso en la confusión que la caracteriza. El imperativo de que “lo importante es comunicar” es el hilo conductor de este estudio académico donde los personajes de esta serie de situación, o sitcom, a pesar de ser catalogados como seres digitales ensimismados en los aparatos electrónicos, le permiten al espectador reconocer los comportamientos y vínculos actuales.

Finite-stretching corrections to the Milner-Witten-Cates theory for polymer brushes

This paper investigates finite-stretching corrections to the classical Milner-Witten-Cates theory for semi-dilute polymer brushes in a good solvent. The dominant correction to the free energy originates from an entropic repulsion caused by the impenetrability of the grafting surface, which produces a depletion of segments extending a distance $\mu \propto L^{-1}$ from the substrate, where $L$ is the classical brush height. The next most important correction is associated with the translational entropy of the chain ends, which creates the well-known tail where a small population of chains extend beyond the classical brush height by a distance $\xi \propto L^{-1/3}$. The validity of these corrections is confirmed by quantitative comparison with numerical self-consistent field theory.