Valuations, intersections et fonctions de Belyi

We present in this article several possibilities to approach the height of an algebraic curve defined over a number field : as an intersection number via the Arakelov theory, as a limit point of the heights of its algebraic points and, finally, using the minimal degree of Belyi functions.

Càlcul distribuït en BOINC per el trencament de l'algorisme RC5

Aquest projecte té com a objectiu participar en el desafiament d'RSA Laboratories corresponent a trencar el criptosistema RC5-32-12-9 proposat. Per realitzar-ho s'ha triat realitzar un atac per força bruta, mitjançant el càlcul distribuït i, més concretament, utilitzant la Public Resource Computing. La plataforma escollida és la Berkeley Open Infrastructure for Network Computing (BOINC), coneguda per la seva utilització en grans projectes com ara SETI@home. En aquest projecte es posa en funcionament la infraestructura i es desenvolupen les aplicacions necessàries per iniciar els càlculs que haurien de permetre el trencament del criptosistema.

La il·lustració britànica

Estudi elaborat a partir d’una estada a la School of Modern Languages de la University of London, Gran Bretanya, entre agost i desembre del 2006. L’objectiu de la recerca consisteix en exposar el moviment empirista a través de Hume, Locke, Berkeley i altres filòsofs del segle XVIII. A més, s’analitza la filosofia escocesa del sentit comú, ja que va influenciar la filosofia catalana durant la “Renaixença”. El seu fundador, Thomas Reid, és conegut perquè va introduir una filosofia que no seguia l’escepticisme dels filòsofs citats. Sintetitzant, Hume va afirmar que l’experiència del sentit consisteix exclusivament en idees o impressions subjectives en la ment. Una resposta aquest “sistema ideal” va ser la filosofia del sentit comú que es va desenvolupar com a reacció a l’escepticisme de David Hume i altres filòsofs escocesos. Contra aquest “sistema ideal” la nova escola considera que l’experiència ordinària dels homes dona instintivament certes creences de la pròpia existència; de la existència dels objectes reals directament percebuts; i de “principis bàsics” basats en creences morals i religioses. Entre 1816 a 1870 la doctrina escocesa va ser adoptada com a filosofia oficial a França. Els seus principis van obtenir força a través de Víctor Cousin i de la traducció de les obres de Thomas Reid al francès per Jouffroy. Serà doncs, a partir de les traduccions franceses que Ramon Martí d’Eixalà va introduir a Catalunya la filosofia escocesa (no existeix cap prova que Martí d’Eixalà hagués conegut les versions angleses de les obres de Reid). En conclusió, el moviment escocès del sentit comú va influenciar l’escola catalana de filosofia.

Tot repensant els serveis bibliogràfics a la University of California

Informe d'un Grup de Treball sobre Serveis Bibliogràfics de la University of California que presenta un seguit de recomanacions sobre els canvis que aquests serveis haurien d'implementar per millorar les seves prestacions. Els autors posen de manifest el desfasament que pateixen bona part dels serveis bibliotecaris actuals davant les prestacions que ofereixen portals com Amazon o Google. Les recomanacions s'estructuren en quatre apartats: millorar la cerca i la recuperació, redissenyar l'OPAC, adoptar noves pràctiques catalogràfiques i donar suport a la millora continua. L'informe finalitza amb l'enumeració d'una seixantena de possibles actuacions addicionals que també es van considerar i les raons per les quals finalment es van descartar.

Real time GPS precise positioning of LEO satellites

Report for the scientific sojourn at the German Aerospace Center (DLR) , Germany, during June and July 2006. The main objective of the two months stay has been to apply the techniques of LEO (Low Earth Orbiters) satellites GPS navigation which DLR currently uses in real time navigation. These techniques comprise the use of a dynamical model which takes into account the precise earth gravity field and models to account for the effects which perturb the LEO’s motion (such as drag forces due to earth’s atmosphere, solar pressure, due to the solar radiation impacting on the spacecraft, luni-solar gravity, due to the perturbation of the gravity field for the sun and moon attraction, and tidal forces, due to the ocean and solid tides). A high parameterized software was produced in the first part of work, which has been used to asses which accuracy could be reached exploring different models and complexities. The objective was to study the accuracy vs complexity, taking into account that LEOs at different heights have different behaviors. In this frame, several LEOs have been selected in a wide range of altitudes, and several approaches with different complexity have been chosen. Complexity is a very important issue, because processors onboard spacecrafts have very limited computing and memory resources, so it is mandatory to keep the algorithms simple enough to let the satellite process it by itself.

Scheduling of straddle carriers in a container terminal

Report for the scientific sojourn at the University of California at Berkeley between September 2007 to February 2008. The globalization combined with the success of containerization has brought about tremendous increases in the transportation of containers across the world. This leads to an increasing size of container ships which causes higher demands on seaport container terminals and their equipment. In this situation, the success of container terminals resides in a fast transhipment process with reduced costs. For these reasons it is necessary to optimize the terminal’s processes. There are three main logistic processes in a seaport container terminal: loading and unloading of containerships, storage, and reception/deliver of containers from/to the hinterland. Moreover there is an additional process that ensures the interconnection between previous logistic activities: the internal transport subsystem. The aim of this paper is to optimize the internal transport cycle in a marine container terminal managed by straddle carriers, one of the most used container transfer technologies. Three sub-systems are analyzed in detail: the landside transportation, the storage of containers in the yard, and the quayside transportation. The conflicts and decisions that arise from these three subsystems are analytically investigated, and optimization algorithms are proposed. Moreover, simulation has been applied to TCB (Barcelona Container Terminal) to test these algorithms and compare different straddle carrier’s operation strategies, such as single cycle versus double cycle, and different sizes of the handling equipment fleet. The simulation model is explained in detail and the main decision-making algorithms from the model are presented and formulated.

Preparació de materials monolítics quirals contenint derivats de poli-4R-hidroxi-L-prolina per a la separació de molècules enantiomèriques per cromatografia líquida

Projecte de recerca elaborat a partir d’una estada a la Universitat de California a Berkeley, Estats Units, entre març i juny de 2007. La cromatografia líquida emprant fases estacionàries quirals ha estat una de les tècniques més desenvolupades per a la separació d’enantiòmers. A més de presentar una elevada enantioselectivitat, és desitjable que els materials utilitzats amb aquesta finalitat permetin separacions altament cost-efectives. Una alternativa a l’us de mètodes més convencionals, en què el selector quiral està ancorat sobre gel de sílice particulada, és la utilització de materials monolítics, que es caracteritzen per ser d’una sola peça i altament porosos. L’elevada porositat d’aquests materials, una de les característiques que els fan més útils, permet treballar amb un flux de fase mòbil molt superior al permès amb les matrius convencionals. Aquest fet permet disminucions considerables dels temps d’anàlisi amb pressions de columna molt inferiors als límits establerts per garantir la seva durabilitat. D’altra banda, l’enantioselectivitat i la resolució vers als diferents analits es manté constant. El projecte, de quatre mesos de durada, s’ha centrat en la preparació de materials monolítics quirals de naturalesa orgànica o inorgànica contenint com a selectors quirals derivats de poli-hidroxi-prolina. Aquest materials s’han aplicat com a fases estacionàries quirals en cromatografia líquida en format estàndard i capil•lar. Els resultats cromatogràfics (selectivitat i eficiència) s’han comparat amb els obtinguts amb columnes de matriu particulada preparades prèviament.

ICR a partir de traços d'escriptura natural captats amb un bolígraf digital

Aquest projecte consisteix en la realització d’una anàlisi de diferents reconeixedors de caracters manuscrits, concretament de nombres, per a una possible implantació en la digitalització de formularis en la industria. Al llarg del document s’estudien dos reconeixedors diferents, concretament l’incorporat al paquet "Tablet PC and Recognition Pack" de Microsoft i el Heloise Hse, proporcionat per la Universitat de Berkeley a Califòrnia.

Entorns col•laboratius virtuals asíncrons basats en Web i enfocats en la gestió del coneixement = Web-based Asynchronous Collaborative Environments Focused on Knowledge Management

Report for the scientific sojourn at the University of California at Berkeley, USA, from september 2007 until july 2008. Communities of Learning Practice is an innovative paradigm focused on providing appropriate technological support to both formal and especially informal learning groups who are chiefly formed by non-technical people and who lack of the necessary resources to acquire such systems. Typically, students who are often separated by geography and/or time have the need to meet each other after classes in small study groups to carry out specific learning activities assigned during the formal learning process. However, the lack of suitable and available groupware applications makes it difficult for these groups of learners to collaborate and achieve their specific learning goals. In addition, the lack of democratic decision-making mechanisms is a main handicap to substitute the central authority of knowledge presented in formal learning.

Regulatory federalism in network industries

Report for the scientific sojourn at the UC Berkeley, USA, from march until july 2008. This document starts by surveying the literature on economic federalism and relating it to network industries. The insights and some new developments (which focus on the role of interjurisdictional externalities, multiple objectives and investment incentives) are used to analyze regulatory arrangements in telecommunications and energy in the EU and the US. In the long history of vertically integrated monopolies in telecommunications and energy, there was a historical trend to move regulation up in the vertical structure of government, at least form the local level to the state or nation-state level. This move alleviated the pressure on regulators to renege on the commitment not to expropriate sunk investments, although it did not eliminate the practice of taxation by regulation that was the result of multiple interest group action. Although central or federal policy making is more focused and especialized and makes it difficult for more interest groups to organize, it is not clear that under all conditions central powers will not be associated with underinvestment. When technology makes the introduction of competition in some segments possible, the possibilities for organizing the institutional architechture of regulation expand. The central level may focus on structural regulation and the location of behavioral regulation of the remaining monopolists may be resolved in a cooperative way or concentrated at the level where the relevant spillovers are internalized.

Quantificació de l'error comès pels models de níxol ecològic al predir la distribució d'especies generalistes

Report for the scientific sojourn carried out at the University of California at Berkeley, from September to December 2007. Environmental niche modelling (ENM) techniques are powerful tools to predict species potential distributions. In the last ten years, a plethora of novel methodological approaches and modelling techniques have been developed. During three months, I stayed at the University of California, Berkeley, working under the supervision of Dr. David R. Vieites. The aim of our work was to quantify the error committed by these techniques, but also to test how an increase in the sample size affects the resultant predictions. Using MaxEnt software we generated distribution predictive maps, from different sample sizes, of the Eurasian quail (Coturnix coturnix) in the Iberian Peninsula. The quail is a generalist species from a climatic point of view, but an habitat specialist. The resultant distribution maps were compared with the real distribution of the species. This distribution was obtained from recent bird atlases from Spain and Portugal. Results show that ENM techniques can have important errors when predicting the species distribution of generalist species. Moreover, an increase of sample size is not necessary related with a better performance of the models. We conclude that a deep knowledge of the species’ biology and the variables affecting their distribution is crucial for an optimal modelling. The lack of this knowledge can induce to wrong conclusions.

Forecasting with missing data: Application to a real case

This paper presents a comparative analysis of linear and mixed modelsfor short term forecasting of a real data series with a high percentage of missing data. Data are the series of significant wave heights registered at regular periods of three hours by a buoy placed in the Bay of Biscay.The series is interpolated with a linear predictor which minimizes theforecast mean square error. The linear models are seasonal ARIMA models and themixed models have a linear component and a non linear seasonal component.The non linear component is estimated by a non parametric regression of dataversus time. Short term forecasts, no more than two days ahead, are of interestbecause they can be used by the port authorities to notice the fleet.Several models are fitted and compared by their forecasting behavior.

Oscil.lacions del nivell del mar i sediments associats durant l'Holocè a la Costa Brava Meridional (Girona)

Several marine deposits in the southern Costa Brava shoreline have been studied. They appear at different heights above and below the present sea level. Three groups are defined in relation to their origin: conglomerate levels at the bottom of the cliffs, not-cementedemerged beaches and cemented submerged beaches. The age of the emerged beaches has been accurately determined by means of the ceramic content and radiocarbon dating. Chronological succession of the deposits and their stratigraphic and paleontological characteristics allow to define a sequence of the sea level changes during the latest stages of the versiliane transgression in the studied area

Long-range transport of Saharan dust to northern Europe: The 11-16 October 2001 outbreak observed with EARLINET

The spread of mineral particles over southwestern, western, and central Europeresulting from a strong Saharan dust outbreak in October 2001 was observed at10 stations of the European Aerosol Research Lidar Network (EARLINET). For the firsttime, an optically dense desert dust plume over Europe was characterized coherentlywith high vertical resolution on a continental scale. The main layer was located abovethe boundary layer (above 1-km height above sea level (asl)) up to 3–5-km height, andtraces of dust particles reached heights of 7–8 km. The particle optical depth typicallyranged from 0.1 to 0.5 above 1-km height asl at the wavelength of 532 nm, andmaximum values close to 0.8 were found over northern Germany. The lidar observationsare in qualitative agreement with values of optical depth derived from Total OzoneMapping Spectrometer (TOMS) data. Ten-day backward trajectories clearly indicated theSahara as the source region of the particles and revealed that the dust layer observed,e.g., over Belsk, Poland, crossed the EARLINET site Aberystwyth, UK, and southernScandinavia 24–48 hours before. Lidar-derived particle depolarization ratios,backscatter- and extinction-related A ° ngstro¨m exponents, and extinction-to-backscatterratios mainly ranged from 15 to 25%, 0.5 to 0.5, and 40–80 sr, respectively, within thelofted dust plumes. A few atmospheric model calculations are presented showing the dustconcentration over Europe. The simulations were found to be consistent with thenetwork observations.

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic modular form of weight 2. Moreover, we determine the arithmetic selfintersection number of the line bundle of modular forms equipped with its Petersson metric on a regular model of a Hilbert modular surface, and we study Faltings heights of arithmetic Hirzebruch-Zagier divisors.