Catalan's intervals and realizers of triangulations

The Stanley lattice, Tamari lattice and Kreweras lattice are three remarkable orders defined on the set of Catalan objects of a given size. These lattices are ordered by inclusion: the Stanley lattice is an extension of the Tamari lattice which is an extension of the Kreweras lattice. The Stanley order can be defined on the set of Dyck paths of size n as the relation of being above. Hence, intervals in the Stanley lattice are pairs of non-crossing Dyck paths. In a former article, the second author defined a bijection Φ between pairs of non-crossing Dyck paths and the realizers of triangulations (or Schnyder woods). We give a simpler description of the bijection Φ. Then, we study the restriction of Φ to Tamari’s and Kreweras’ intervals. We prove that Φ induces a bijection between Tamari intervals and minimal realizers. This gives a bijection between Tamari intervals and triangulations. We also prove that Φ induces a bijection between Kreweras intervals and the (unique) realizers of stack triangulations. Thus, Φ induces a bijection between Kreweras intervals and stacktriangulations which are known to be in bijection with ternary trees.

Women at home, at school and in the factory. The particular discourse of domesticity done by the Spanish Escuela Economista (1861-1909)

The texts by the Spanish Economist School (second half of the 19th century) contain an assessment of the role of women in the economy and society that is transgressor in front of the prevailing discourse that defended a unique and exclusive role for all women: being at home and a mother. Most members of that economic trend defended female work in the factories, basing themselves on wage arguments and even asked for a professional training for those who in many cases could not even write and read for the fact of being a woman. The texts of those economists give new ideas about the economic and social role of women in a Spain dominated by a discourse that denied the necessity of female work for the working families.

Perceptions of Europe in political and economic elites: a geographical compared analysis of Germany, Spain and Poland

Elite perceptions about Europe are a very important point in order to understand the current European integration process, as well as the future perspectives for the continent. This study makes a comparison between the perceptions which political and economical elites in some European countries have about the European Union process and its mechanisms. The main goal is to identify the differences in positions of each type of elites, as well as the variations among three key countries. The database built thanks to the INTUNE (Integrated and United? A quest for Citizenship in an ¨ever closer Europe¨) Project Survey on European Elites and Masses, funded by the Sixth Framework Programme of the EU [Contract CIT 3-CT-2005-513421] have being used. The questionnaire was applied between February and May 2007, in a total of 18 European countries. The national teams got a total of almost 2000 valid responses at European level. In the analysis we have showed some general descriptive statistics about the perception of Europe taking as a reference two dimensions of the INTUNE project: identity (attachment to the national level, the meaning of being a truly national, and the threats from Turkey that EU is facing at this moment) and representation (trust in European and national institutions, preferences for a national or an European army). The results are presented distinguishing between political (national MP’s in low chambers) and economical elites (presidents of corporations, general managers…) and, at the same time, among three countries: Germany as an original member of the European Union; Spain, incorporated in 1986; and a new member, Poland, joining the EU in 2004.

Vigilance behavior of Pyrenean chamois (Rupicapra pyrenaica pyrenaica): Effect of sex and position in the herd

The Pyrenean chamois (Rupicapra pyrenaica pyrenaica) is a mountain-dwelling ungulate with an extensive presence in open areas. Optimal group size results from the trade off between advantages (a reduction in the risk of predation) and disadvantages (competition between members of the herd) of group living. In addition, advantages and disadvantages of group living may vary depending on the position of each individual within the herd. Our objective was to study the effect of central vs. peripheral position in the herd on feeding and vigilance behavior in male and female Pyrenean chamois and to ascertain if a group size effect existed. We used focal animal sampling and recorded social interactions when a focal animal was involved. With males, vigilance rate was higher in the central part of the group than at the periphery, probably due to a higher density of animals in the central part of the herd and a higher probability of being disturbed by conspecifics. With females, vigilance rate did not differ according to position in the herd. Females spent more time feeding than males, and males showed a higher frequency of the vigilance behavior than females. We did not observe a clear relationship between group size and vigilance behavior. The differences in vigilance behavior might be due to social interactions.

Xarxes tolerants a endarreriments i interrupcions: desenvolupament d'un scheduler d'agents mòbils

En aquest projecte es proposa i s’implementa una nova forma de crear xarxes DTN (Delay-Tolerant Networks) mitjançant agents mòbils. Aquestes xarxes tenen la peculiaritat de ser tolerants a endarreriments i interrupcions, podent ser utilitzades en entorns on les xarxes actuals no es poden aplicar. Hem dissenyat mecanismes que permeten prendre decisions d’encaminament a nivell d’aplicació i mecanismes de priorització d’agents mitjançant informació d’alt nivell. Aquests mecanismes milloren les DTN fent-les més flexibles i efectives.

Tax evasion, technology shocks, and the cyclicality of government revenues

This paper analyzes the behavior of the tax revenue to output ratio over the business cycle. In order to replicate the empirical evidence, we develop a simple model combining the standard Ak growth model with the tax evasion phenomenon. When individuals conceal part of their true income from the tax authority, they face the risk of being audited and hence of paying the corresponding fine. Under the empirically plausible assumptions that the intertemporal elasticity of substitution exhibits a sufficiently small value and that productivity shocks are serially correlated, we show that the elasticity of government revenue with respect to output is larger than one, which agrees with the empirical evidence. This result holds even if the tax system displays flat tax rates. We extend the previous setup to generate larger fiscal deficits when the economy experiences a recession.

BAW notch filter for WiMAX applications

Als darrers anys la necessitat de connectar-se a internet des de qualsevol lloc s’ha incrementat exponencialment sobretot de manera inalàmbrica. Degut al finit espectre radioelèctric es tendeix a aprofitar totes les franges freqüencials d’aquest convivint diferents sistemes en franges properes podent induir-se interferències mútuament. Per evitar aquestes interferències es requereix de filtres a tots els dispositius els quals aïllin un sistema del adjacent. En aquest projecte es dóna una solució al cas concret de la convivència entre els sistemes Wi-Fi y WiMAX eliminant la banda Wi-Fi interferent en sistemes WiMAX. Aquesta solució consisteix en el disseny d’un filtre banda eliminada d’ordre 3 implementat mitjançant tecnologia BAW a partir de l’estructura y especificacions d’un filtre comercial. A més també es fa un petit estudi per veure si seria interessant una millora en els processos de fabricació del filtre per part del fabricant.

An axiomatic justification of mediation in bankruptcy problems.

This paper provides a natural way of reaching an agreement between two prominent proposals in a bankruptcy problem. Particularly, using the fact that such problems can be faced from two different points of views, awards and losses, we justify the average of any pair of dual bankruptcy rules through the definition a double recursive process. Finally, by considering three posible sets of equity principles that a particular society may agree on, we retrieve the average of old and well known bankruptcy rules, the Constrained Equal Awards and the Constrained Equal Losses rules, Piniles’ rule and its dual rule, and the Constrained Egalitarian rule and its dual rule. Keywords: Bankruptcy problems, Midpoint, Bounds, Duality, Recursivity. JEL classification: C71, D63, D71.

Physically based walking simulation

Hem realitzat l’estudi de moviments humans i hem buscat la forma de poder crear aquests moviments en temps real sobre entorns digitals de forma que la feina que han de dur a terme els artistes i animadors sigui reduïda. Hem fet un estudi de les diferents tècniques d’animació de personatges que podem trobar actualment en l’industria de l’entreteniment així com les principals línies de recerca, estudiant detingudament la tècnica més utilitzada, la captura de moviments. La captura de moviments permet enregistrar els moviments d’una persona mitjançant sensors òptics, sensors magnètics i vídeo càmeres. Aquesta informació és emmagatzemada en arxius que després podran ser reproduïts per un personatge en temps real en una aplicació digital. Tot moviment enregistrat ha d’estar associat a un personatge, aquest és el procés de rigging, un dels punts que hem treballat ha estat la creació d’un sistema d’associació de l’esquelet amb la malla del personatge de forma semi-automàtica, reduint la feina de l’animador per a realitzar aquest procés. En les aplicacions en temps real com la realitat virtual, cada cop més s’està simulant l’entorn en el que viuen els personatges mitjançant les lleis de Newton, de forma que tot canvi en el moviment d’un cos ve donat per l’aplicació d’una força sobre aquest. La captura de moviments no escala bé amb aquests entorns degut a que no és capaç de crear noves animacions realistes a partir de l’enregistrada que depenguin de l’interacció amb l’entorn. L’objectiu final del nostre treball ha estat realitzar la creació d’animacions a partir de forces tal i com ho fem en la realitat en temps real. Per a això hem introduït un model muscular i un sistema de balanç sobre el personatge de forma que aquest pugui respondre a les interaccions amb l’entorn simulat mitjançant les lleis de Newton de manera realista.

La construcció del funcionari. Un estudi de cas : INSS Barcelona

El treballador públic és sotmès, des que comença la seva particular relació laboral, a un món fortament estructurat i amb una cultura, unes característiques i un tarannà propis i particulars. És en aquest procés que les forces socialitzadores del seu lloc de treball, juntament amb les del món exterior, el van formant com a treballador públic, fins al punt que es pot parlar del funcionari com d'una construcció. Això produeix una manera de veure i entendre el món laboral molt diferent de la que es té en l'empresa privada. Així, les aptituds, les actituds, les maneres de fer, les dèries i les manies només tenen sentit dins el seu entorn, que ell mateix comprèn com a totalment diferent. L'oposició com a ritual de pas, la socialització secundària, la percepció de l'alteritat, el qui és l'altre, el quan i el perquè, i els trets de la seva cultura - el temps, el treball, la normativa són algunes de les claus estudiades en aquest treball que ens ajuden a comprendre el perquè i el com d'aquesta construcció.

Els marges del pensament polític contemporani

La crisi i esfondrament del pensament metafísic heretat de la modernitat deixa la filosofia contemporània davant d'un nou paradigma on el coneixement s’ha de construir prescindint de tota identitat i fonamentació. El meu projecte s’estableix com un recorregut descendent que parteix d’un àmbit concret, com és el del problema de la manca de fonamentació en la filosofia política contemporània, per arribar a la veritable arrel del problema general que no és altre que la mateixa naturalesa del llenguatge filosòfic. El punt de partida és la pregunta sobre la possibilitat d’una filosofia política en termes postmetafísics. La filosofia política, atrapada entre les forces de la tirania unitària del concepte metafísic i la dissolució pràctica en pro de la realitat instrumental, traça ponts cap a l’estètica i la deconstrucció, que tenen com a corol•lari final qüestionar-nos els propis límits del pensament polític. El concepte d’impolític és una sortida deconstructiva a aquest atzucac. Des d’Esposito, Rancière, Nancy, però sobretot Massimo Cacciari, he aprofundit en el paradigma postmetafísic que origina aquesta negació política de la pròpia política, política com els seus límits, relació com a distància i identitat com a silenci. És evident que la clau de volta és l’herència i recepció contemporània de Nietzsche i la seva crítica a la transcendentalitat moderna en el sí de l’elaboració d’un coneixement en un naufragi constant pel fracàs de la síntesi que anhela. És aquesta herència la que ha possibilitat aquest pensament negatiu contemporani, el del joc wittgensteinià, la deconstrucció del valor que queda convertit en el seu propi marge (Derrida). Definim així no només una comunitat política basada en la incommensurabilitat dels seus membres alhora buits de contingut (Musil), sinó un model de llenguatge que és el seu propi silenci, un llenguatge en contínua lluita contra sí mateix. El meu projecte és una relectura d’aquesta veritat no identitària on el concepte de diàleg pren una importància cabdal. La filosofia de la música aquí es presenta com un terreny fèrtil d’eines conceptuals a l’hora de desenvolupar-ho. La música és el llenguatge negatiu que només troba possibilitat en la seva pròpia impossibilitat de contingut sintètic. Més enllà de les referències obligatòries a chönberg i Adorno entre altres, el camí iniciat per Bergson amb la introducció de la temporalitat a la discussió obra la porta al paper de l’esdveniment en aquest discurs sobre la impossibilitat. Tornant a la filosofia, on el propi llenguatge filosòfic es defineix ja com a impossible, l’esdeveniment reobre l’antiga tensió entre l’escriptura i la paraula viva, veritable fonament del problema, i vèrtex de la possibilitat d’aquesta filosofia impossible.

Ecological Footprint Inequality across countries: the role of environment intensity, income and interaction effects

Recently, White (2007) analysed the international inequalities in Ecological Footprints per capita (EF hereafter) based on a two-factor decomposition of an index from the Atkinson family (Atkinson (1970)). Specifically, this paper evaluated the separate role of environment intensity (EF/GDP) and average income as explanatory factors for these global inequalities. However, in addition to other comments on their appeal, this decomposition suffers from the serious limitation of the omission of the role exerted by probable factorial correlation (York et al. (2005)). This paper proposes, by way of an alternative, a decomposition of a conceptually similar index like Theil’s (Theil, 1967) which, in effect, permits clear decomposition in terms of the role of both factors plus an inter-factor correlation, in line with Duro and Padilla (2006). This decomposition might, in turn, be extended to group inequality components (Shorrocks, 1980), an analysis that cannot be conducted in the case of the Atkinson indices. The proposed methodology is implemented empirically with the aim of analysing the international inequalities in EF per capita for the 1980-2007 period and, amongst other results, we find that, indeed, the interactive component explains, to a significant extent, the apparent pattern of stability observed in overall international inequalities.

Ecological Footprint Inequality across countries: the role of environment intensity, income and interaction effects

Recently, White (2007) analysed the international inequalities in Ecological Footprints per capita (EF hereafter) based on a two-factor decomposition of an index from the Atkinson family (Atkinson (1970)). Specifically, this paper evaluated the separate role of environment intensity (EF/GDP) and average income as explanatory factors for these global inequalities. However, in addition to other comments on their appeal, this decomposition suffers from the serious limitation of the omission of the role exerted by probable factorial correlation (York et al. (2005)). This paper proposes, by way of an alternative, a decomposition of a conceptually similar index like Theil’s (Theil, 1967) which, in effect, permits clear decomposition in terms of the role of both factors plus an inter-factor correlation, in line with Duro and Padilla (2006). This decomposition might, in turn, be extended to group inequality components (Shorrocks, 1980), an analysis that cannot be conducted in the case of the Atkinson indices. The proposed methodology is implemented empirically with the aim of analysing the international inequalities in EF per capita for the 1980-2007 period and, amongst other results, we find that, indeed, the interactive component explains, to a significant extent, the apparent pattern of stability observed in overall international inequalities. Key words: ecological footprint; international environmental distribution; inequality decomposition

Is ENP good news for the transfer of environmental norms? Incentives and socialization for Eastern neighbours

The launching of the European Neighbourhood Policy has created some expectations. Cooperation between the EU and its partners is expected to get deeper, to the point that neighbouring countries have been promised to share “everything but institutions” with the EU. Moreover, cooperation is also expected to be broader, as it has been presented as including more and more issue areas. In other words, the ENP has the vocation of being a universal instrument to promote the transfer of EU norms. This paper focuses on one single issue area, the environment, and one group of ENP partners, the Western Newly Independent States and the South Caucasus, to revise to what extent neighbourhood policy can provide the mechanisms to encourage rule transfer. Are incentives and disincentives powerful enough? Can the ENP promote the socialization of neighbours into EU environmental norms?

Computational Representation of Collaborative Learning Flow Patterns Using IMS Learning Design

The identification and integration of reusable and customizable CSCL (Computer Supported Collaborative Learning) may benefit from the capture of best practices in collaborative learning structuring. The authors have proposed CLFPs (Collaborative Learning Flow Patterns) as a way of collecting these best practices. To facilitate the process of CLFPs by software systems, the paper proposes to specify these patterns using IMS Learning Design (IMS-LD). Thus, teachers without technical knowledge can particularize and integrate CSCL tools. Nevertheless, the support of IMS-LD for describing collaborative learning activities has some deficiencies: the collaborative tools that can be defined in these activities are limited. Thus, this paper proposes and discusses an extension to IMS-LD that enables to specify several characteristics of the use of tools that mediate collaboration. In order to obtain a Unit of Learning based on a CLFP, a three stage process is also proposed. A CLFP-based Unit of Learning example is used to illustrate the process and the need of the proposed extension.