Lp theory for the multidimensional aggregation equation

"Vegeu el resum a l'inici del document del fitxer adjunt."

Aspects of Iwasawa theory over function fields

"Vegeu el resum a l'inici del document del fitxer adjunt."

Generic Nekhoroshev theory without small divisors

In this article, we present a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. Lochak which combines averaging along periodic orbits with simultaneous Diophantine approximation and uses geometric arguments designed by the second author to handle generic integrable Hamiltonians. This method allows to deal with generic non-analytic Hamiltonians and to obtain new results of generic stability around linearly stable tori.

Conflict prevention and decentralized governance: some remarks about the state of the art in theory and practice

Is there a link between decentralized governance and conflict prevention? This article tries to answer the question by presenting the state of the art of the intersection of both concepts. Provided that social conflict is inevitable and given the appearance of new threats and types of violence, as well as new demands for security based on people (human security), our societies should focus on promoting peaceful changes. Through an extensive analysis of the existing literature and the study of several cases, this paper suggests that decentralized governance can contribute to these efforts by transforming conflicts, bringing about power-sharing and inclusion incentives of minority groups. Albeit the complexity of assessing its impact on conflict prevention, it can be contended that decentralized governance might have very positive effects on the reduction of causes that bring about conflicts due to its ability to foster the creation of war/violence preventors. More specifically, this paper argues that decentralization can have a positive impact on the so-called triggers and accelerators (short- and medium-term causes).

A critical application of securitization theory: overcoming the normative dilemma of writing security

This article addresses the normative dilemma located within the application of `securitization,’ as a method of understanding the social construction of threats and security policies. Securitization as a theoretical and practical undertaking is being increasingly used by scholars and practitioners. This scholarly endeavour wishes to provide those wishing to engage with securitization with an alternative application of this theory; one which is sensitive to and self-reflective of the possible normative consequences of its employment. This article argues that discussing and analyzing securitization processes have normative implications, which is understood here to be the negative securitization of a referent. The negative securitization of a referent is asserted to be carried out through the unchallenged analysis of securitization processes which have emerged through relations of exclusion and power. It then offers a critical understanding and application of securitization studies as a way of overcoming the identified normative dilemma. First, it examines how the Copenhagen School’s formation of securitization theory gives rise to a normative dilemma, which is situated in the performative and symbolic power of security as a political invocation and theoretical concept. Second, it evaluates previous attempts to overcome the normative dilemma of securitization studies, outlining the obstacles that each individual proposal faces. Third, this article argues that the normative dilemma of applying securitization can be avoided by firstly, deconstructing the institutional power of security actors and dominant security subjectivities and secondly, by addressing countering or alternative approaches to security and incorporating different security subjectivities. Examples of the securitization of international terrorism and immigration are prominent throughout.

Anàlisi de l'obra cinematogràfica de quatre documentalistes russos o de repúbliques ex-soviètiques : la relació amb les noves tendències del documental i el llegat soviètic

El treball de recerca té com a principal objectiu l'estudi del cinema documental rus contemporani a través de l'obra cinematogràfica d'Alexander Sokurov, Sergei Dvortsevoi, Sergei Loznitsa i Victor Kossakovski. En un primer moment la investigació s'havia encaminat en un estudi comparatiu sobre les noves tendències del documental i els models de realisme proposats des de la Rússia post-comunista. El treball s'ha realitzat a partir de tres vies d'investigació. La primera ha consistit en una exhaustiva recerca bibliogràfica sobre cinema documental i cinema soviètic. La segona s'ha plantejat a partir d'un anàlisi acurat de les diverses pel•lícules. Finalment, la tercera via s'ha desenvolupat a partir d'un treball de camp realitzat durant una estada a Rússia, un període en el qual va ser possible entrevistar dos dels cineastes protagonistes de l'estudi, Sergei Dvortsevoi i Victor Kossakovski, així com el crític de cinema Andrei Xemijakin. També va ser fonamental l'assistència a la taula rodona i la master class impartida per Sergei Loznitsa en el marc del desè aniversari del Màster en Teoria i Pràctica de Documental Creatiu de la Universitat Autònoma de Barcelona. Tot i que es poden traçar vincles entre el treball dels quatre cineastes escollits i algunes de les pràctiques contemporànies en l'àmbit de la no-ficció, com pot ser l'experiència de Sergei Loznitsa en el terreny del found-footage, o els documentals experimentals de caràcter assagístic d'Alexander Sokurov, així com la tendència observacional i el pas al cinema de ficció de Segei Dvortsevoi, o l'ús de la tecnologia digital en les últimes pel•lícules de Victor Kossakovski. Tot i aquestes aproximacions, es pot afirmar que el model de realisme proposat per aquests cineastes troba el seu autèntic llegat en el cinema soviètic. Una herència que comença amb el cinema de Dziga Vertov –pioner del documental artístic i revolucionari- i acaba en el d'Artavadz Pelechian.

Index theory for basic Dirac operators on Riemannian foliations

In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler characteristic is obtained using two independent proofs.

Generalized descriptive set theory and classification theory

Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable. We explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. We also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. Our results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.

Strong isomorphism reductions in complexity theory

We give the first systematic study of strong isomorphism reductions, a notion of reduction more appropriate than polynomial time reduction when, for example, comparing the computational complexity of the isomorphim problem for different classes of structures. We show that the partial ordering of its degrees is quite rich. We analyze its relationship to a further type of reduction between classes of structures based on purely comparing for every n the number of nonisomorphic structures of cardinality at most n in both classes. Furthermore, in a more general setting we address the question of the existence of a maximal element in the partial ordering of the degrees.

Vintage capital growth theory: three breakthroughs

Vintage capital growth models have been at the heart of growth theory in the 60s. This research line collapsed in the late 60s with the so-called embodiment controversy and the technical sophisitication of the vintage models. This paper analyzes the astonishing revival of this literature in the 90s. In particular, it outlines three methodological breakthroughs explaining this resurgence: a growth accounting revolution, taking advantage of the availability of new time series, an optimal control revolution allowing to safely study vintage capital optimal growth models, and a vintage human capital revolution, along with the rise of economic demography, accounting for the vintage structure of human capital similarly to physical capital age structuring. The related literature is surveyed.

Temperament in Bach’s Well-tempered clavier: a historical survey and a new evaluation according to dissonance theory

After a historical survey of temperament in Bach’s Well-Tempered Clavier by Johann Sebastian Bach, an analysis of the work has been made by applying a number of historical good temperaments as well as some recent proposals. The results obtained show that the global dissonance for all preludes and fugues in major keys can be minimized using the Kirnberger II temperament. The method of analysis used for this research is based on the mathematical theories of sensory dissonance, which have been developed by authors such as Hermann Ludwig Ferdinand von Helmholtz, Harry Partch, Reinier Plomp, Willem J. M. Levelt and William A. Sethares

Anàlisi de l'obra cinematogràfica de quatre documentalistes russos o de repúbliques ex-soviètiques: la relació amb les noves tendències del documental i el llegat soviètic.

El treball de recerca té com a principal objectiu l'estudi del cinema documental rus contemporani a través de l'obra cinematogràfica d'Alexander Sokurov, Sergei Dvortsevoi, Sergei Loznitsa i Victor Kossakovski. En un primer moment la investigació s'havia encaminat en un estudi comparatiu sobre les noves tendències del documental i els models de realisme proposats des de la Rússia post-comunista. El treball s'ha realitzat a partir de tres vies d'investigació. La primera ha consistit en una exhaustiva recerca bibliogràfica sobre cinema documental i cinema soviètic. La segona s'ha plantejat a partir d'un anàlisi acurat de les diverses pel•lícules. Finalment, la tercera via s'ha desenvolupat a partir d'un treball de camp realitzat durant una estada a Rússia, un període en el qual va ser possible entrevistar dos dels cineastes protagonistes de l'estudi, Sergei Dvortsevoi i Victor Kossakovski, així com el crític de cinema Andrei Xemijakin. També va ser fonamental l'assistència a la taula rodona i la master class impartida per Sergei Loznitsa en el marc del desè aniversari del Màster en Teoria i Pràctica de Documental Creatiu de la Universitat Autònoma de Barcelona. Tot i que es poden traçar vincles entre el treball dels quatre cineastes escollits i algunes de les pràctiques contemporànies en l'àmbit de la no-ficció, com pot ser l'experiència de Sergei Loznitsa en el terreny del found-footage, o els documentals experimentals de caràcter assagístic d'Alexander Sokurov, així com la tendència observacional i el pas al cinema de ficció de Segei Dvortsevoi, o l'ús de la tecnologia digital en les últimes pel•lícules de Victor Kossakovski. Tot i aquestes aproximacions, es pot afirmar que el model de realisme proposat per aquests cineastes troba el seu autèntic llegat en el cinema soviètic. Una herència que comença amb el cinema de Dziga Vertov –pioner del documental artístic i revolucionari- i acaba en el d'Artavadz Pelechian –cineasta armeni i un dels màxims representatnts del documental poètic-. El treball de recerca ha estat presentat en forma de comunicació en el congrés internacional “IMAGEing Reality: Representing the Real in Film, Television and New Media”, celebrat a Pamplona el mes d'Octubre de 2009. La comunicació s'ha redactat en format article i està pendent de publicació.

Design of Novel Frequency Generation Circuit with Application to Ultra-Wideband Distributed Oscillators

Given the urgence of a new paradigm in wireless digital trasmission which should allow for higher bit rate, lower latency and tigher delay constaints, it has been proposed to investigate the fundamental building blocks that at the circuital/device level, will boost the change towards a more efficient network architecture, with high capacity, higher bandwidth and a more satisfactory end user experience. At the core of each transciever, there are inherently analog devices capable of providing the carrier signal, the oscillators. It is strongly believed that many limitations in today's communication protocols, could be relieved by permitting high carrier frequency radio transmission, and having some degree of reconfigurability. This led us to studying distributed oscillator architectures which work in the microwave range and possess wideband tuning capability. As microvave oscillators are essentially nonlinear devices, a full nonlinear analyis, synthesis, and optimization had to be considered for their implementation. Consequently, all the most used nonlinear numerical techniques in commercial EDA software had been reviewed. An application of all the aforementioned techniques has been shown, considering a systems of three coupled oscillator ("triple push" oscillator) in which the stability of the various oscillating modes has been studied. Provided that a certain phase distribution is maintained among the oscillating elements, this topology permits a rise in the output power of the third harmonic; nevertheless due to circuit simmetry, "unwanted" oscillating modes coexist with the intenteded one. Starting with the necessary background on distributed amplification and distributed oscillator theory, the design of a four stage reverse mode distributed voltage controlled oscillator (DVCO) using lumped elments has been presented. All the design steps have been reported and for the first time a method for an optimized design with reduced variations in the output power has been presented. Ongoing work is devoted to model a wideband DVCO and to implement a frequency divider.

The Strategic Adaptation of Party Organizations to New Information and Communication Technologies : A Study of Catalan and Spanish Parties

Aquest document se centra en els casos dels dos principals partits espanyols (PP i PSOE) i catalans (PSC i CDC) en el període immediatament després de les eleccions generals espanyoles de maig de 2008, quan aquests celebraren els seus congressos. En general, es poden distingir tres tipus d'actors: en primer lloc, els ciberactivistes que tracten d'obtenir el reconeixement formal de la seva activitat en els seus partits. Així com, els líders del partit que poden intentar promoure la presència del partit en el ciberespai, però que també poden romandre indecisos perquè no és clar l'impacte electoral a la xarxa del ciberactivisme. Finalment, alguns militants tradicionals (off-line) solen ser reticents al reconeixement del ciberactivisme perquè amenaça les recompenses previstes dins del partit. Aquest article mostra com els nostres partits varen respondre al desafiament del ciberactivisme i arriba a la conclusió que la seva situació electoral, mediada per la seva ideologia, estructura organitzativa i el tipus de militància, poden ajudar-nos a comprendre el grau diferent d'institucionalització en l'organització del partit.