Automorphism groups of randomized structures

We study automorphism groups of randomizations of separable structures, with focus on the $\aleph_0$-categorical case. We give a description of the automorphism group of the Borel randomization in terms of the group of the original structure. In the $\aleph_0$-categorical context, this provides a new source of Roelcke precompact Polish groups, and we describe the associated Roelcke compactifications. This allows us also to recover and generalize preservation results of stable and NIP formulas previously established in the literature, via a Banach-theoretic translation. Finally, we study and classify the separable models of the theory of beautiful pairs of randomizations, showing in particular that this theory is never $\aleph_0$-categorical (except in basic cases).Comment: 28 page

STM study of self-assembled phthalocyanine derivatives and their hosting properties

Molecular self-assembly, as a most studied case of self-assembly, is one of the few practical strategies for making ensembles of nano- and micro structures. As an essential aspect of the “bottom-up” approach, it is attractive for both scientific research and technological applications. Therefore a detailed understanding of the molecule-substrate and intermolecular interactions involved in the self-assembly process is of great interest. In the first part of the thesis, the influence of the phenoxy substituents on the self-assembly of Pcs on (111)-oriented noble metal surfaces is described. The rotational degrees of freedom, characteristic for these substituents enable the formation of various stable and transient phases and allow the substituents to be arranged above the plane of the Pc core, forming a bowl-like structure, which in turn enables the interaction of the Pc core with the metal substrate. The proximity of the Pc core to the metal substrate together with the steric entanglement between neighboring substituents causes significant retardation of the thermodynamic optimization of the conformations. This accounts for the coexistence of some of the phases. In the second part, the influence of replacing two adjacent phenoxy substituents by a rigid tetraazatriphenylene substituent on the self-assembly of Pcs is analyzed and compared to the self-assembly of the above mentioned phenoxy substituted Pcs. The rigid substituent enhances the rotational degrees of freedom of the neighboring phenoxy substituents, hence facilitates their conformational optimization. As a result, novel interactions between the Pc derivatives are enabled and the formation of ordered phases with higher surface densities compared to the previous study is observed. In the third part, the hosting properties of a close-packed layer of phenoxy substituted Pc derivatives adsorbed on Ag(111) are investigated for the adsorption of C60 molecules. The C60 molecules bind to two clearly distinguishable sites, either to the underlying metal substrate in between two adjacent Pc derivatives or to the core of a Pc derivative. In the first case, the C60 exhibit morphologic and electronic properties analogous to those of a C60 adsorbed on clean Ag(111), whereas in the second case the electronic properties indicate a strong interaction between C60 and the phthalocyanine core

The Weather Project: Displacements, Scaffolding and Meteorological Models for a Critical Evaluation of the Public Display

En el año 2003 el artista danés Olafur Eliasson inauguraría en la Sala de las Turbinas de la Tate Modern de Londres su ambiciosa propuesta The Weather Project, proyecto por el que se haría mundialmente famoso y que hoy día sigue siendo una de sus obras más conocidas. Durante los cinco meses que duró la exposición un brumoso atardecer permanecería congelado en el tiempo en el interior de esta importante plaza cubierta de la ciudad inglesa. El escenario orquestado por el artista conseguiría invertir el significado mismo del edificio de Herzog y de Meuron. Por un lado una parte de Londres penetraría al edificio, su atmósfera, y, a través de la experiencia y el recuerdo de la obra, el espectador se llevaría su personal sol al exterior. Edificio y ciudad, intervención y preexistencia quedarían así alterados en esta suerte de “accidente” meteorológico provocado por Eliasson. Con el Sol de la Tate como ejemplo de fondo, el texto que aquí se presenta pretende ahondar en los argumentos, conceptos y estrategias desarrolladas por Olafur Eliasson en sus intervenciones en la esfera pública haciendo hincapié en las relaciones y transformaciones que se producen en escenario y espectador como consecuencia de los desplazamientos conceptuales y materiales propuestos por el artista.In 2003, Danish artist Olafur Eliasson would unveil his ambitious proposal, The Weather Project, in the Turbine Hall at the London Tate Modern. This project then went on to become internationally renowned and today, it remains one of his best–known pieces. During the five months on display, a misty sunset would remain frozen in time within this important indoor space located in the English capital. This scene, put together by the artist, would manage to invert the very meaning of the building by Herzog and de Meuron. On the one hand, a part of London would penetrate the building, its atmosphere and through the experience and memory of the piece, the spectator would take their own personal sun outside. Building and city, intervention and pre–existence would thus be altered in this sort of meteorological “accident” provoked by Eliasson. With the Tate Sun as an example of the background, the text here presented seeks to delve into the arguments, concepts and strategies developed by Olafur Eliasson in his interventions in the public sphere, emphasising the relationships and transformations that take place on stage and in the spectator himself as a result of the conceptual and material displacements proposed by the artist

Film-induced tourism in the UK: the role of British Film Institute on promoting the image of the country

Film-induced tourism-also referred to as Film Tourism- is a recent growing phenomenon whose main purpose is to explore the potential tourist’s motivations when planning their upcoming visit to a destination. Furthermore, this phenomenon gives power to the future filming locations in terms of creating new film heritage museums, film tours, developing new destination marketing and so on. Thus, we will study the brand new type of tourist: ‘Core Screen Tourist’. Core screen tourists are those who would not travel to a destination where a film has been shot unless they have seen it on screen previously. Films provide a powerful way to shape people's perceptions of the place, creating new and strengthening old ones. Gaining the power to increase international tourism and the entertainment industry, the development of the film is seen as a growing phenomenon, which must be taken into account for each tourism promotion strategy.Universidad de Sevilla. Grado en Turism

Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian

We study the regularity of stable solutions to the problem $$\left\{ \begin{array}{rcll} (-\Delta)^s u &=& f(u) & \text{in} \quad B_1\,, u &\equiv&0 & \text{in} \quad \mathbb R^n\setminus B_1\,, \end{array} \right.$$ where $s\in(0,1)$. Our main result establishes an $L^\infty$ bound for stable and radially decreasing $H^s$ solutions to this problem in dimensions $2 \leq n < 2(s+2+\sqrt{2(s+1)})$. In particular, this estimate holds for all $s\in(0,1)$ in dimensions $2 \leq n\leq 6$. It applies to all nonlinearities $f\in C^2$. For such parameters $s$ and $n$, our result leads to the regularity of the extremal solution when $f$ is replaced by $\lambda f$ with $\lambda > 0$. This is a widely studied question for $s=1$, which is still largely open in the nonradial case both for $s=1$ and $s<1$