Combinatorial and metric properties of Thompson's group T

We discuss metric and combinatorial properties of Thompson's group T, such as the normal forms for elements and uniqueness of tree pair diagrams. We relate these properties to those of Thompson's group F when possible, and highlight combinatorial differences between the two groups. We define a set of unique normal forms for elements of T arising from minimal factorizations of elements into convenient pieces. We show that the number of carets in a reduced representative of T estimates the word length, that F is undistorted in T, and that cyclic subgroups of T are undistorted. We show that every element of T has a power which is conjugate to an element of F and describe how to recognize torsion elements in T.

External sources of innovation and industry-university interaction:evidence from Spanish firms

This paper is about the firm innovation process and the cooperation of the innovative firms with other firms and public institutions. A special attention is paid to the cooperation with universities. We use the Technological Innovation Survey (TIS) from the Instituto Nacional de Estadística (Spain) in order to obtain data for 4,159 innovative firms. Our results show that firm's cooperation activities are closely linked to the characteristics of the industry and the firm as well as to the origin of public funds for R&D activities. Key words: Innovation, universities, Spanish economy. JEL code: O31, I20, L60

A note on Spatial Autocorrelation at a Local Level

In this paper we analyze the existence of spatial autocorrelation at a local level in Catalonia using variables such as urbanisation economies, population density, human capital and firm entries. From a static approach, our results show that spatial autocorrelation is weak and diminishes as the distance between municipalities increases. From a dynamic approach, however, spatial autocorrelation increased over the period we analysed. These results are important from a policy point of view, since it is essential to know how economic activities are spatially concentrated or disseminated. Key words: spatial autocorrelation, municipalities. JEL classification: R110, R120

Entradas y salidas de empresas: un contraste de las hipótesis de independencia, simetría y simultaneidad

En este trabajo se analiza una vía alternativa en el debate de la convergencia regional en España: el estudio de la dinámica industrial de sus Comunidades Autónomas. Para ello se analizan los flujos de entrada y salida de establecimientos industriales en las manufacturas delas regiones españolas y se abordan los factores de carácter sectorial o regional que inciden sobre la movilidad industrial. Las specificaciones econométricas adoptan la estructura de un sistema de ecuaciones y cubren las tres hipótesis fundamentales que se han abordado en laliteratura (independencia, simetría y simultaneidad) a partir de un panel de datos construido con informaciones procedentes del Registro de Establecimientos Industriales y la Encuesta Industrial. Palabras clave: demografía industrial, sistemas de ecuaciones, datos de panel

Firm Size and Geographical Aggregation: An Empirical Appraisal in Industrial Location

This paper assesses empirically the importance of size discrimination and disaggregate data for deciding where to locate a start-up concern. We compare three econometric specifications using Catalan data: a multinomial logit with 4 and 41 alternatives (provinces and comarques, respectively) in which firm size is the main covariate; a conditional logit with 4 and 41 alternatives including attributes of the sites as well as size-site interactions; and a Poisson model on the comarques and the full spatial choice set (942 municipalities) with site-specific variables. Our results suggest that if these two issues are ignored, conclusions may be misleading. We provide evidence that large and small firms behave differently and conclude that Catalan firms tend to choose between comarques rather than between municipalities. Moreover, labour-intensive firms seem more likely to be located in the city of Barcelona. Keywords: Catalonia, industrial location, multinomial response model. JEL: C250, E30, R00, R12

The Determinants of Entry are not Independent of Start-up Size: Some evidence from Spanish manufacturing

In this paper we explore the determinants of firm start-up size of Spanish manufacturing industries. The industries' barriers to entry affect the ability of potential entrants to enter the markets and the size range at which they decide to enter. In order to examine the relationships between barriers to entry and size we applied the quantile regression techniques. Our results indicate that the variables that characterize the structure of the market, the variables that are related to the behaviour of the incumbent firms and the rate of growth of the industries generate different barriers depending on the initial size of the entrants. Keywords: Entry, regression quantiles, start-up size. JEL classification: L110, L600

A territorial approach to firm entry: The effect of city size

This paper concerns the effects of territorial factors on the processes involved in the creation of manufacturing firms in Spanish cities. Most contributions have focused on regional factors rather than urban ones. Here we assume that it is possible to identify certain urban factors that attract new firms. We use data for the entry of firms in Spanish manufacturing industries between 1994 and 2002. This paper contributes to the existing literature on market entry. Key words: cities, regions, firm entry and Spanish economy. JEL: R0, R12, L60

Pure braid subgroups of braided Thompson's groups

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Absolute type shaft encoding using LFSR

Maximal-length binary sequences have been known for a long time. They have many interesting properties, one of them is that when taken in blocks of n consecutive positions they form 2ⁿ-1 different codes in a closed circular sequence. This property can be used for measuring absolute angular positions as the circle can be divided in as many parts as different codes can be retrieved. This paper describes how can a closed binary sequence with arbitrary length be effectively designed with the minimal possible block-length, using linear feedback shift registers (LFSR). Such sequences can be used for measuring a specified exact number of angular positions, using the minimal possible number of sensors that linear methods allow.

Not all university degrees yield the same return: private and social returns to higher education for males in Spain

In this paper we use micro data from the Spanish Family Expenditure Survey for 1990 to estimate, for the first time, the private and social rates of return of different university degrees in Spain. We compute internal rates of return and include investment on higher education financed by the public purse to estimate social rates of return. Our main finding is that, as presumed, there is large heterogeneity in rates of return amongst different university

Recent trends in Spanish income distribution: a robust picture of falling income inequality

Income distribution in Spain has experienced a substantial improvement towards equalisation during the second half of the seventies and the eighties; a period during which most OECD countries experienced the opposite trend. In spite of the many recent papers on the Spanish income distribution, the period covered by those stops in 1990. The aim of this paper is to extent the analysis to 1996 employing the same methodology and the same data set (ECPF). Our results not only corroborate the (decreasing inequality) trend found by others during the second half of the eighties, but also suggest that this trend extends over the first half of the nineties. We also show that our main conclusions are robust to changes in the equivalence scale, to changes in the definition of income and to potential data contamination. Finally, we analyse some of the causes which may be driving the overall picture of income inequality using two decomposition techniques. From this analyses three variables emerge as the major responsible factors for the observed improvement in the income distribution: education, household composition and socioeconomic situation of the household head.

Capital humano y desigualdad en España: 1985-1996

En el período 1985-1996 la desigualdad de la renta en España se redujo de forma notable, en claro contraste con lo sucedido en otros países avanzados. En este trabajo se profundiza en el impacto que sobre esta reducción en la desigualdad ha ejercido la redistribución del stock de capital humano, uno de los factores que aparecen como más relevantes para explicar tanto la distribución de la renta como sus modificaciones. Las conclusiones obtenidas sugieren que aproximadamente un tercio de la reducción en la desigualdad que se ha producido entre los dos años extremos contemplados (1985 frente a 1996) se debe al comportamiento del capital humano. Otros factores tales como el tamaño de la familia o la participación de ambos cónyuges en el mercado de trabajo, han actuado en el mismo sentido. Finalmente, un elevado porcentaje de mejora en la distribución permanece por explicar y deberá ser objeto de investigaciones futuras.

Necesidad de formación en el mercado de trabajo español: composición del empleo y estructura productiva

Este trabajo estudia las intensas transformaciones que se han producido en la composición del empleo español por niveles de educación y por categoría profesional. Mediante una técnica de descomposición “shift-share” se desagregan los efectos inputados al cambio técnico sesgado y al cambio técnico desigual, y se advierte que, en la segunda mitad de los noventa, se ha producido una ruptura con la pauta de comportamiento anterior. En efecto, a partir de 1995, el incremento de participación total del empleo cualificado ha venido determinado con mucha mayor intensidad que en períodos anteriores por el cambio técnico sesgado. Cuando, en cambio, esta influencia se examina desde la perspectiva de la recomposición del empleo por categoría profesional se observa que ha sido mucho menor. Ello permite introducir, aunque de manera muy preliminar, la hipótesis de sobreeducación en el mercado de trabajo español, que según los resultados obtenidos y como es de esperar, sólo afectaría a los colectivos más formados con relación a las categorías profesionales con empleos no manuales.

Economía del conocimiento, ciudad y competitividad

Desde finales de los años 80’s, Barcelona se convierte en una metrópolis internacional en la que se concentra el grueso de la competitividad exterior de la economía española. Hasta el momento, el esfuerzo para comprender las razones por las cuales la economía de Barcelona ha conseguido esta posición tan destacada son de naturaleza fundamentalmente urbana. En diferentes investigaciones se ha subrayado la existencia de factores territoriales de competitividad específicos: proximidad a los mercados europeos, expansión del área metropolitana, y existencia de economías externas de naturaleza territorial como son las economías de localización, de urbanización y de red. En el presente trabajo destacamos que el nuevo modelo económico de Barcelona presenta también otra característica propia de las ciudades y las economías más avanzadas. Se trata del cambio de su base productiva hacia una dirección fundamental: el impulso de la economía del conocimiento. El objetivo es averiguar hasta qué punto los cambios detectados en la forma de producir y en la localización de la actividad económica se relacionan con el crecimiento de las actividades densas en conocimiento, y si en el éxito internacional del modelo de Barcelona existen razones asociadas a la progresión de las actividades de tecnología e intensidad de conocimientos más elevada.

Quasi-Potency and Cyclic subgroup separability

We study the profinite topology on discrete groups and in particular the property of cyclic subgroup separability. We investigate the class of quasi-potent, cyclic subgroup separable groups, producing many examples and showing how it behaves with respect to certain group constructions.