Determinacy and Weakly Ramsey sets in Banach spaces

We give a sufficient condition for a set of block subspaces in an infinite-dimensional Banach space to be weakly Ramsey. Using this condition we prove that in the Levy-collapse of a Mahlo cardinal, every projective set is weakly Ramsey. This, together with a construction of W. H. Woodin, is used to show that the Axiom of Projective Determinacy implies that every projective set is weakly Ramsey. In the case of co we prove similar results for a stronger Ramsey property. And for hereditarily indecomposable spaces we show that the Axiom of Determinacy plus the Axiom of Dependent Choices imply that every set is weakly Ramsey. These results are the generalizations to the class of projective sets of some theorems from W. T. Gowers, and our paper "Weakly Ramsey sets in Banach spaces."

Periodic points of holomorphic maps via Lefschetz numbers

In this paper we study the set of periods of holomorphic maps on compact manifolds, using the periodic Lefschetz numbers introduced by Dold and Llibre, which can be computed from the homology class of the map. We show that these numbers contain information about the existence of periodic points of a given period; and, if we assume the map to be transversal, then they give us the exact number of such periodic orbits. We apply this result to the complex projective space of dimension n and to some special type of Hopf surfaces, partially characterizing their set of periods. In the first case we also show that any holomorphic map of CP(n) of degree greater than one has infinitely many distinct periodic orbits, hence generalizing a theorem of Fornaess and Sibony. We then characterize the set of periods of a holomorphic map on the Riemann sphere, hence giving an alternative proof of Baker's theorem.

Valoració de la capacitat de salt i sincronització temporal intergrupal en la Gimnàstica Estètica de Grup

La Gimnàstica Estètica de Grup (GEG) és un esport emergent del qual no existeix gairebé cap treball de camp i/o publicació. En relació al codi de puntuació d’aquesta modalitat, tant les capacitats de salt com la unitat de moviment del cos i la sincronització entre els membres del conjunt, tenen un pes molt important en la puntuació del valor tècnic i de l’execució. En aquest estudi s’ha realitzat la mesura, avaluació i comparació de les manifestacions de la força explosiva, elàstica i reactiva d’un grup de gimnàstica d’estètica d’alt nivell al principi i al final del període competitiu, mitjançant la bateria de tests de salts verticals de Bosco, concretament SJ, CMJ, CMJas i RJ (15” CMJas). També s’ha analitzat la sincronització i/o coordinació temporal intergrupal d’execució de les dificultats tècniques de salt de les coreografies competitives, al llarg del període competitiu d’un conjunt de gimnàstica estètica d’alt nivell, tenint en compte la sincronització en començar la dificultat i en acabar-la. Els resultats obtinguts demostren que la manifestació de força elàsticoexplosiva en CMJ ha disminuït un 0,46 % i la força explosiva SJ (sense reutilització d'energia elàstica ni aprofitament del reflex miotàtic) ha augmentat un 4,63 %. Durant el període competitiu del conjunt sènior de gimnàstica estètica del Club Muntanyenc Sant Cugat, la influència dels braços en la capacitat de salt ha augmentat un 1,32% i la potència anaeròbica alàctica un 4,76%. Tot i que en la majoria de tests, els resultats han estat positius, no es considera que la mostra hagi assolit una millora significativa, atès que no ha superat el 10% proposat en començar l’estudi, i els valors obtinguts són totalment inestables. S’ha vist que en un mateix test el % de pèrdues i de guanys ha estat molt variat, de manera que no es pot establir una relació de millora de la capacitat de salt en funció de l’entrenament. Pel que fa a la sincronització temporal intergrupal, ha millorat entre un 37,50% (sincronització temps inicial) i un 50,00% (sincronització temps final) en relació a les dificultats tècniques. Fet que és relaciona directament amb l’automatització de mecanismes d’execució al llarg de la temporada competitiva. Tot i així no s’ha igualat o superat la millora d’un 70% proposada per les hipòtesis inicials de l’estudi.

Differences of Functional Connectivity Brain Network in Emotional Judgment

Using combined emotional stimuli, combining photos of faces and recording of voices, we investigated the neural dynamics of emotional judgment using scalp EEG recordings. Stimuli could be either combioned in a congruent, or a non-congruent way.. As many evidences show the major role of alpha in emotional processing, the alpha band was subjected to be analyzed. Analysis was performed by computing the synchronization of the EEGs and the conditions congruent vs. non-congruent were compared using statistical tools. The obtained results demonstrate that scalp EEG ccould be used as a tool to investigate the neural dynamics of emotional valence and discriminate various emotions (angry, happy and neutral stimuli).

Pasquale del Pezzo, Duke of Caianello, Neapolitan mathematician

This article is dedicated to a reconstruction of some events and achievements, both personal and scientific, in the life of the Neapolitan mathematician Pasquale del Pezzo, Duke of Caianello.

Gestión de confianza en redes ad hoc

El despliegue de un esquema de confianza es fundamental para poder desarrollar servicios de seguridad que permitan administrar y operar una red. Sin embargo, las soluciones empleadas en las redes tradicionales no se adaptan a un entorno ad hoc debido a la naturaleza dinámica y sin infraestructura de estas redes. En el presente trabajo se propone un esquema de confianza práctico y eficiente basado en una infraestructura de clave pública distribuida, umbral y jerárquica, que no requiere sincronización temporal entre todos los nodos de la red. La autorización de usuarios en el sistema se hace a través de certificados de corta duración que eliminan la necesidad de mantener la publicación y diseminación de unas listas de revocación. Por otro lado, una entidad externa de confianza permite alargar la reputación de un usuario de la red más allá de la existencia de la propia red.

A performance lower bound for quadratic timing recovery accounting for the symbol transition density

The symbol transition density in a digitally modulated signal affects the performance of practical synchronization schemes designed for timing recovery. This paper focuses on the derivation of simple performance limits for the estimation of the time delay of a noisy linearly modulated signal in the presence of various degrees of symbol correlation produced by the varioustransition densities in the symbol streams. The paper develops high- and low-signal-to-noise ratio (SNR) approximations of the so-called (Gaussian) unconditional Cramér–Rao bound (UCRB),as well as general expressions that are applicable in all ranges of SNR. The derived bounds are valid only for the class of quadratic, non-data-aided (NDA) timing recovery schemes. To illustrate the validity of the derived bounds, they are compared with the actual performance achieved by some well-known quadratic NDA timing recovery schemes. The impact of the symbol transitiondensity on the classical threshold effect present in NDA timing recovery schemes is also analyzed. Previous work on performancebounds for timing recovery from various authors is generalized and unified in this contribution.

Waveform-independent frame-timing acquisition for UWB signals

In this paper, the problem of frame-level symboltiming acquisition for UWB signals is addressed. The main goalis the derivation of a frame-level timing estimator which does notrequire any prior knowledge of neither the transmitted symbolsnor the received template waveform. The independence withrespect to the received waveform is of special interest in UWBcommunication systems, where a fast and accurate estimation ofthe end-to-end channel response is a challenging and computationallydemanding task. The proposed estimator is derived under theunconditional maximum likelihood criterion, and because of thelow power of UWB signals, the low-SNR assumption is adopted. Asa result, an optimal frame-level timing estimator is derived whichoutperforms existing acquisition methods in low-SNR scenarios.

Maximum likelihood estimation of position in GNSS

In this letter, we obtain the Maximum LikelihoodEstimator of position in the framework of Global NavigationSatellite Systems. This theoretical result is the basis of a completelydifferent approach to the positioning problem, in contrastto the conventional two-steps position estimation, consistingof estimating the synchronization parameters of the in-viewsatellites and then performing a position estimation with thatinformation. To the authors’ knowledge, this is a novel approachwhich copes with signal fading and it mitigates multipath andjamming interferences. Besides, the concept of Position–basedSynchronization is introduced, which states that synchronizationparameters can be recovered from a user position estimation. Weprovide computer simulation results showing the robustness ofthe proposed approach in fading multipath channels. The RootMean Square Error performance of the proposed algorithm iscompared to those achieved with state-of-the-art synchronizationtechniques. A Sequential Monte–Carlo based method is used todeal with the multivariate optimization problem resulting fromthe ML solution in an iterative way.

Periodismo de filtración: el caso PRISM

Este trabajo final de máster se centra en describir la realidad que afecta al periodismo de filtración. Además se analiza detalladamente el caso Planning Tool for Resource Integration, Synchronization, and Management (PRISM). Se ha averiguado qué han hecho los medios con ésta información, identificado cada elemento clave de esta trama, descrito la situación mediática actual y se han expuesto las repercusiones que ha tenido esta noticia a nivel internacional y a nivel personal. Se analizan además las noticias, artículos o ensayos que se han escrito sobre el tema para averiguar qué se ha conseguido con éste filtraje y finalmente, se han observado las consecuencias de tal acto.

Networks of noisy oscillators with correlated degree and frequency dispersion

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase oscillators that represent the node dynamics. Crucially in our work, the variability in the number of connections of the nodes is correlated with the width of the frequency distribution of the oscillators. By numerical simulations on Erdös-Rényi networks, where the frequencies of the oscillators are Gaussian distributed, we make the counterintuitive observation that an increase in the strength of the correlation is accompanied by an increase in the critical coupling strength for the onset of synchronization. We further observe that the critical coupling can solely depend on the average number of connections or even completely lose its dependence on the network connectivity. Only beyond this state, a weighted mean-field approximation breaks down. If noise is present, the correlations have to be stronger to yield similar observations.

A Cartan-Eilenberg approach to Homotopical Algebra

In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. These data determine the cofibrant objects by an extension property analogous to the classical lifting property of projective modules. We define a Cartan-Eilenberg category as a category with strong and weak equivalences such that there is an equivalence of categories between its localisation with respect to weak equivalences and the relative localisation of the subcategory of cofibrant objects with respect to strong equivalences. This equivalence of categories allows us to extend the classical theory of derived additive functors to this non additive setting. The main examples include Quillen model categories and categories of functors defined on a category endowed with a cotriple (comonad) and taking values on a category of complexes of an abelian category. In the latter case there are examples in which the class of strong equivalences is not determined by a homotopy relation. Among other applications of our theory, we establish a very general acyclic models theorem.

Brain dynamics sustaining rapid rule extraction from speech

Language acquisition is a complex process that requires the synergic involvement of different cognitive functions, which include extracting and storing the words of the language and their embedded rules for progressive acquisition of grammatical information. As has been shown in other fields that study learning processes, synchronization mechanisms between neuronal assemblies might have a key role during language learning. In particular, studying these dynamics may help uncover whether different oscillatory patterns sustain more item-based learning of words and rule-based learning from speech input. Therefore, we tracked the modulation of oscillatory neural activity during the initial exposure to an artificial language, which contained embedded rules. We analyzed both spectral power variations, as a measure of local neuronal ensemble synchronization, as well as phase coherence patterns, as an index of the long-range coordination of these local groups of neurons. Synchronized activity in the gamma band (2040 Hz), previously reported to be related to the engagement of selective attention, showed a clear dissociation of local power and phase coherence between distant regions. In this frequency range, local synchrony characterized the subjects who were focused on word identification and was accompanied by increased coherence in the theta band (48 Hz). Only those subjects who were able to learn the embedded rules showed increased gamma band phase coherence between frontal, temporal, and parietal regions.

Desenvolupament d'eines informàtiques per a residències geriàtriques

L’envelliment de la població demana cada cop més centres especialitzats en geriatria en els països desenvolupats. Aquests mateixos països pateixen recentment una falta de personal qualificat en infermeria. Aquests dos factors es combinen i posen en evidència la necessitat de desenvolupar eines informàtiques que modernitzin les residències geriàtriques. El projecte que s’ha desenvolupat consisteix en una aplicació de gestió d’una residència geriàtrica amb una base de dades centralitzada en un PC des de la qual s’hi pot accedir a través d’una aplicació feta per PDA. La seva funció principal és poder agilitzar tota la repartició de medicació dins la residència geriàtrica, gestionant des de les pautes de medicació corresponents a cada resident, fins a un control d’stock. Consta, per tant, d’una aplicació per PC, programada amb Visual Basic i utilitzant com a base de dades Microsoft Access, i d’una aplicació per PDA, programada amb Embedded Visual Basic i utilitzant la mateixa base de dades creada per l’aplicació per PC. L’aplicació de PC proporcionarà als usuaris una gestió ràpida i còmode i, alhora, rapidesa i estalvi de treball si es vol fer un determinat manteniment a través de l’aplicació de PDA. En el manteniment de l’aplicació, però, no s’hi inclou el manteniment dels usuaris tot i haver un control d’aquests. En aquest projecte s’estudia com es desenvolupa una aplicació per PDA i com comparteix una base de dades amb una altra aplicació a través del sistema de sincronització PC↔PDA anomenat ActiveSync.