Metrics on diagram groups and uniform embeddings in a Hilbert space

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Pressure groups and experts in environmental regulation

We study a problem of adverse selection in the context of environmental regulation, where the firm may suffer from a certain degree of ignorance about its own type. In a framework like the construction of a certain infrastructure project, the presence of ignorance about its impact on the environment, can play an important role in the determination of the regulatory policy. First, an optimal contract is constructed for any exogenous level of ignorance. Second, the presence of potentially informed third-parties is studied from the perspective of the regulator, which allows us to analyze the impact on the efficiency of the contract, of the presence of environmentalists and of experts. Then, we obtain some insights on how the problem differs when the degree of ignorance is a choice variable for the firm. We finally use our results to derive policy implications concerning the existing envoronmental regulation, and the potential role of interested parties as information providers.

Pure braid subgroups of braided Thompson's groups

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Inequality in CO2 emissions across countries and its relationship with income inequality: a distributive approach

This paper analyses the inequality in CO2 emissions across countries (and groups of countries) and the relationship of this inequality with income inequality across countries for the period (1971-1999). The research employs the tools that are usually applied in income distribution analysis. The methodology used here gives qualitative and quantitative information on some of the features of the inequalities across countries that are considered most relevant for the design and discussion of policies aimed at mitigating climate change. The paper studies the relationship between CO2 emissions and GDP and shows that income inequality across countries has been followed by an important inequality in the distribution of emissions. This inequality has diminished mildly, although the inequality in emissions across countries ordered in the increasing value of income (inequality between rich and poor countries) has diminished less than the “simple” inequality in emissions. Lastly, the paper shows that the inequality in CO2 emissions is mostly explained by the inequality between groups with different per capita income level. The importance of the inequality within groups of similar per capita income is much lower and has diminished during the period, especially in the low-middle income group.

Endogenous population subgroups: the best population partition and optimal number of groups

The aim of this paper is to suggest a method to find endogenously the points that group the individuals of a given distribution in k clusters, where k is endogenously determined. These points are the cut-points. Thus, we need to determine a partition of the N individuals into a number k of groups, in such way that individuals in the same group are as alike as possible, but as distinct as possible from individuals in other groups. This method can be applied to endogenously identify k groups in income distributions: possible applications can be poverty

Distortion of wreath products in some finitely presented groups

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Infinite index subgroups and finiteness properties of intersections of geometrically finite groups

We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup.

Minimal truncations of supersingular p-divisible groups

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Algebraic extensions in free groups

The aim of this paper is to unify the points of view of three recent and independent papers (Ventura 1997, Margolis, Sapir and Weil 2001 and Kapovich and Miasnikov 2002), where similar modern versions of a 1951 theorem of Takahasi were given. We develop a theory of algebraic extensions for free groups, highlighting the analogies and differences with respect to the corresponding classical fieldt heoretic notions, and we discuss in detail the notion of algebraic closure. We apply that theory to the study and the computation of certain algebraic properties of subgroups (e.g. being malnormal, pure, inert or compressed, being closed in certain profinite topologies) and the corresponding closure operators. We also analyze the closure of a subgroup under the addition of solutions of certain sets of equations.

(When) would i lie to you? comment on? deception: the role of consequences?

This paper reconsiders the evidence on lying or deception presented in Gneezy (2005,American Economic Review). We argue that Gneezy?s data cannot reject the hipótesis that people are one of two kinds: either a person will never lie, or a person will lie whenever she prefers the outcome obtained by lying over the outcome obtained by telling the truth. This implies that so long as lying induces a preferred outcome over truth-telling, a person?s decisión of whether to lie may be completely insensitive to other changes in the induced outcomes, such as exactly how much she monetarily gains relative to how much she hurts an anonymous partner. We run new but similar experiments to those of Gneezy in order to test this hypothesis. We find that our data cannot reject this hypothesis either, but we also discover substantial differences in behavior between our sub jects and Gneezy?s sub jects.

The mean dehn functions of Abelian groups

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Traverso's isogeny conjecture for p-divisible groups

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Minimal lenght elements of Thompson's groups F(p)

We describe a method for determining the minimal length of elements in the generalized Thompson's groups F(p). We compute the length of an element by constructing a tree pair diagram for the element, classifying the nodes of the tree and summing associated weights from the pairs of node classifications. We use this method to effectively find minimal length representatives of an element.

Processos participatius, governança ambiental i desenvolupament territorial sostenible

Estudio realizado a partir de una estancia en el Centro de Filosofia e Ciências Humanas de la Universidade Federal de Santa Catarina, Brasil, durant entre septiembre y noviembre del 2005. El intercambio con los grupos de trabajo del Programa de Pós-Graduçao Interdisciplinar em Ciências Humanas (UFSCE-Brasil), se ha llevado a cabo con el objetivo de profundizar en las diferentes perspectivas teóricas y analíticas que orientan la reflexión sobre el papel crítico de los investigadores en el área de sociología del conocimiento ambiental científico. Esto ha permitido conocer experiencias-laboratorios de procesos participativos para planear intervenciones en áreas protegidas. Estas orientaciones conceptuales, epistemológicas y metodológicas ayudaran a la candidata a reforzar la aproximación de investigación participativa del proyecto “Avaluació social multicriteri per a la presa de decisions orientades a una gestió conservativa de sistemes agropecuaris i el desenvolupament sostenible de la zona seca i semi-seca del paisatge terrestre protegit de Miraflor-Moropotente (Nicaragua)” que es la línea del trabajo de PhD de la candidata. En especial, las reflexiones teóricas y metodológicas se han centrado en los siguientes temas: aproximación sistemática y basada en los actores para el análisis de sistemas complejos y incertezas, métodos participativos para las evaluaciones integradas de sustentabilidad que apoyan los procesos de toma de decisiones, o el nuevo papel de los investigadores sobre una perspectiva compleja de análisis y diálogo entre los conocimientos científicos y locales.