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.

On equilibria in duopolies with finite strategy spaces

We will call a game a reachable (pure strategy) equilibria game if startingfrom any strategy by any player, by a sequence of best-response moves weare able to reach a (pure strategy) equilibrium. We give a characterizationof all finite strategy space duopolies with reachable equilibria. Wedescribe some applications of the sufficient conditions of the characterization.

On a problem of Alfréd Rényi

Alfréd Rényi, in a paper of 1962, A new approach to the theory ofEngel's series, proposed a problem related to the growth of theelements of an Engel's series. In this paper, we reformulate andsolve Rényi's problem for both, Engel's series and Pierceexpansions.

On forward induction and evolutionary and strategic stability

We analyze which normal form solution concepts capture the notion offorward induction, as defined by van Damme (JET, 1989) in the classof generic two player normal form games preceded by an outsideoption. We find that none of the known strategic stability concepts(including Mertens stable sets and hyperstable sets) captures this form of forward induction. On the other hand, we show that the evolutionary concept of EES set (Swinkels, JET, 1992) is always consistent with forward induction.

On the concept of optimality interval

The approximants to regular continued fractions constitute `best approximations' to the numbers they converge to in two ways known as of the first and the second kind.This property of continued fractions provides a solution to Gosper's problem of the batting average: if the batting average of a baseball player is 0.334, what is the minimum number of times he has been at bat? In this paper, we tackle somehow the inverse question: given a rational number P/Q, what is the set of all numbers for which P/Q is a `best approximation' of one or the other kind? We prove that inboth cases these `Optimality Sets' are intervals and we give aprecise description of their endpoints.

On the zeta-function regularization of a two-dimensional series of epsten-Hurwitz type

For a few years now, the study of quantum field theories in partially compactified space-time manifolds has acquired increasing importance in several domains of quantum physics. Let me just mention the issues of dimensional reduction and spontaneous compactification, and the multiple questions associated with the study of quantum field theories in the presence of boundaries (like the Casimir effect) and on curved space-time (manifolds with curvature and nontrivial topology), a step towards quantum gravity.

On the existence of doubling measures with certain regularity properties

Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only on the pseudo-metric. Then we construct a doubling measure for which the measure of a dilated ball is closely related to these dimensions.

On the configuration of Herman rings of meromorphic functions

We prove some results concerning the possible configuration s of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period a nd give a sufficient condition for a configuration to be realizable.

Environmental management problems, future generations and social decisions

The decisions of many individuals and social groups, taking according to well-defined objectives, are causing serious social and environmental problems, in spite of following the dictates of economic rationality. There are many examples of serious problems for which there are not yet appropriate solutions, such as management of scarce natural resources including aquifer water or the distribution of space among incompatible uses. In order to solve these problems, the paper first characterizes the resources and goods involved from an economic perspective. Then, for each case, the paper notes that there is a serious divergence between individual and collective interests and, where possible, it designs the procedure for solving the conflict of interests. With this procedure, the real opportunities for the application of economic theory are shown, and especially the theory on collective goods and externalities. The limitations of conventional economic analysis are shown and the opportunity to correct the shortfalls is examined. Many environmental problems, such as climate change, have an impact on different generations that do not participate in present decisions. The paper shows that for these cases, the solutions suggested by economic theory are not valid. Furthermore, conventional methods of economic valuation (which usually help decision-makers) are unable to account for the existence of different generations and tend to obviate long-term impacts. The paper analyzes how economic valuation methods could account for the costs and benefits enjoyed by present and future generations. The paper studies an appropriate consideration of preferences for future consumption and the incorporation of sustainability as a requirement in social decisions, which implies not only more efficiency but also a fairer distribution between generations than the one implied by conventional economic analysis.

Traduir la Terra Mitjana: la traducció de referents culturals i jocs de paraules en "El Senyor dels anells"

RESUM: En aquest treball de recerca s’han analitzat els referents culturals i els jocs de paraules que apareixen en l’obra El senyor dels anells. Com a reflexió inicial em baso en la hipòtesi que la caracterització de hòbbits, ents i homes, tres races que apareixen en la Terra Mitjana, el món secundari creat per Tolkien, es nodreix, a banda d’altres elements, de jocs de paraules i referents culturals britànics. És fonamental que aquesta afirmació sigui tinguda en compte en l’acte de traducció per respectar la intenció de J. R. R. Tolkien, que en aquesta obra buscava també la creació d’una mitologia britànica versemblant, com si de veritat la Terra Mitjana hagués constituït el passat real del nostre planeta amb els avantpassats britànics com a protagonistes. La composició d’aquest estudi es divideix en: (1) característiques de la literatura fantàstica; (2) aspectes relacionats amb l’autor des de dues vessants: l’una com a acadèmic i l’altra com a escriptor i creador; (3) teoria de la traducció de referents culturals i de jocs de paraules; i (4) corpus de 144 termes extrets del text de sortida analitzats i traduïts a partir de fitxes de traducció. Puc concloure que s’ha demostrat la hipòtesi que em plantejava: els referents culturals i els jocs de paraules són recursos actius en El senyor dels anells i una bona anàlisi d’aquests camps és pertinent per comprendre la magnitud de l’imaginari de J. R. R. Tolkien i realitzar una traducció respectuosa amb la intencionalitat de l’autor. El senyor dels anells és una fairy-story, una obra de fantasia, una fugida de la realitat consensuada (Tolkien no s’amaga d’aquesta fugida i la veu positiva) en què els elements propis del món primari (la cultura britànica i comunitats antigues com l’anglosaxona, la celta o l’escandinava) i del món secundari (els personatges que habiten la Terra Mitjana en el marc temporal de la Tercera Edat) funcionen d’acord amb els principis dels dos móns. Considero que el procés seguit tant en la metodologia, com en l’elaboració dels continguts, com en la traducció dels termes analitzats a través de les fitxes és positiu i útil. Aquesta sistematització del procés i el resultat final poden ser rellevants per a la comunitat traductora, tant per al futur traductor com per al professional.

Introducció als Sistemes d'informació Geogràfica

Aquest treball està dividit en dos grans blocs, una part teòrica i una part pràctica. En la primera part es fa una recopilació de teoria sobre els sistemas d'informació geogràfica. Pel que fa a la part pràctica s'ha desenvolupat un projecte SIG amb la informació geogràfica d'una zona d'una població.

The Sociology of educational mismatch

This paper studies the theoretical relationships between core research lines of sociology such as intergenerational mobility, class structure, cultural capital and educational mismatches. By educational mismatch we mean two things. Firstly an individual can be horizontally mismatched whereby their field of study is inadequate for the job. Another direction of educational mismatch is the so called vertical mismatch where worker possesses more/less education than the job requires resulting in over-/under-education. While analyzing the educational mismatches I keep present the conclusions of Rational Action Theory on individuals’ rational choices in their educational careers. I arrive to conclusions where the influences between educational mismatches and social classes are bidirectional and one can establish fairly clear theoretical links between class of origins and likelihood of being educationally mismatched.

Introducing diversity in public organisations : diminishing theoretical ambiguity and controversy by empirical research

Many theoretical dissertations have an unclear definition of diversity and when interpreting strategies of organizational diversity policies, theories often contradict each other. It is argued that this ambiguity and controversy can be diminished by basing theory on diversity and diversity policy more on qualitative structured descriptive empirical comparisons.This argument is elaborated in two steps. First, diversity is shown to be a social construction: dynamic and plural in nature, dependent on the social-historical context. Second, the common theoretical dichotomy between diversity policy as equal opportunities or as diversity management in shown to be possibly misleading; empirical studies indicate more practical differentiation in types of diversity policy, manifested in public and private organizations. As qualitative comparisons are rare, especially in the European context and especially among public organizations, this article calls for more contributions of this kind and provides an analytical framework to assist scholars in the field of diversity studies.

The overhang hangover

We revisit the debt overhang question. We first use non-parametric techniques to isolate a panel of countries on the downward sloping section of a debt Laffer curve. In particular, overhang countries are ones where a threshold level of debt is reached in sample, beyond which (initial) debt ends up lowering (subsequent)growth. On average, significantly negative coefficients appear when debt face value reaches 60 percent of GDP or 200 percent of exports, and when its present value reaches 40 percent of GDP or 140 percent of exports. Second, we depart from reduced form growth regressions and perform direct tests of the theory on the thus selected sample of overhang countries. In the spirit of event studies, we ask whether, as overhang level of debt is reached: (i)investment falls precipitously as it should when it becomes optimal to default, (ii) economic policy deteriorates observably, as it should when debt contracts become unable to elicit effort on the part of the debtor, and (iii) the terms of borrowing worsen noticeably, as they should when it becomes optimal for creditors to pre-empt default and exact punitive interest rates. We find a systematic response of investment, particularly when property rights are weakly enforced, some worsening of the policy environment, and a fall in interest rates. This easing of borrowing conditions happens because lending by the private sector virtually disappears in overhang situations, and multilateral agencies step in with concessional rates. Thus, while debt relief is likely to improve economic policy (and especially investment) in overhang countries, it is doubtful that it would ease their terms of borrowing, or the burden of debt.