Mather invariants in groups of piecewise-linear homeomorphisms

We describe the relation between two characterizations of conjugacy in groups of piecewise-linear homeomorphisms, discovered by Brin and Squier in [2] and Kassabov and Matucci in [5]. Thanks to the interplay between the techniques, we produce a simplified point of view of conjugacy that allows ua to easily recover centralizers and lends itself to generalization.

Leading indicator properties of US high-yield credit spreads

In this paper we examine the out-of-sample forecast performance of high-yield credit spreads regarding real-time and revised data on employment and industrial production in the US. We evaluate models using both a point forecast and a probability forecast exercise. Our main findings suggest the use of few factors obtained by pooling information from a number of sector-specific high-yield credit spreads. This can be justified by observing that, especially for employment, there is a gain from using a principal components model fitted to high-yield credit spreads compared to the prediction produced by benchmarks, such as an AR, and ARDL models that use either the term spread or the aggregate high-yield spread as exogenous regressor. Moreover, forecasts based on real-time data are generally comparable to forecasts based on revised data. JEL Classification: C22; C53; E32 Keywords: Credit spreads; Principal components; Forecasting; Real-time data.

The simultaneous conjugacy problem in groups of piecewise linear functions

Guba and Sapir asked, in their joint paper [8], if the simultaneous conjugacy problem was solvable in Diagram Groups or, at least, for Thompson's group F. We give an elementary proof for the solution of the latter question. This relies purely on the description of F as the group of piecewise linear orientation-preserving homeomorphisms of the unit. The techniques we develop allow us also to solve the ordinary conjugacy problem as well, and we can compute roots and centralizers. Moreover, these techniques can be generalized to solve the same questions in larger groups of piecewise-linear homeomorphisms.

On uniform conjugators in torsion-free hyperbolic groups

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Structure theorems for subgroups of homeomorphism groups

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Bounding the residual finiteness of free groups

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Statistical properties of subgroups of free groups

The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated (finite presentations are determined) by randomly chosen k-tuples of reduced words, whose maximal length is allowed to tend to infinity. In this paper we adopt a different, though equally natural point of view: we investigate the statistical properties of the same objects, but with respect to the so-called graph-based distribution, recently introduced by Bassino, Nicaud and Weil. Here, subgroups (and finite presentations) are determined by randomly chosen Stallings graphs whose number of vertices tends to infinity. Our results show that these two distributions behave quite differently from each other, shedding a new light on which properties of finitely generated subgroups can be considered frequent or rare. For example, we show that malnormal subgroups of a free group are negligible in the raph-based distribution, while they are exponentially generic in the word-based distribution. Quite surprisingly, a random finite presentation generically presents the trivial group in this new distribution, while in the classical one it is known to generically present an infinite hyperbolic group.

Higher arithmetic Chow groups

We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. The degree zero group agrees with the arithmetic Chow groups of Burgos. Our new construction is shown to be a contravariant functor and is endowed with a product structure, which is commutative and associative.

Twisted conjugacy in braid groups

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Anàlisi del desenvolupament floral d'un arbust mediterrani, la Globularia alypum, en poblacions costaneres i continentals

En aquest projecte s’ha estudiat la fenologia de floració de nou poblacions de G.alypum, un arbust de fulla perenne típic dels ambients termòfils de l’oest de l’Àrea Mediterrània, situades en diferents localitats de Catalunya. Aquesta espècie té una fenologia de la floració molt variable entre poblacions, ja que poden florir des de l’estiu tardà - tardor primerenca fins a la primavera següent depenent de la població. Es distingeixen dos grups de població, el de floració primerenca i el floració tardana. Les poblacions primerenques creixen, majoritàriament, a les localitats costaneres i floreixen des de setembre fins a novembre. Les poblacions tardanes creixen a les localitats d’interior i floreixen des de febrer fins a abril. En aquest treball es pretén millorar la comprensió sobre les diferències geogràfiques dels patrons de la fenologia floral entre les poblacions de G. alypum. Unes diferències que ja es manifesten al juliol, quan el desenvolupament floral es troba en els seus estadis preliminars. Alhora, en els mesos posteriors, l’increment del desenvolupament floral de les poblacions de G. alypum s’ha correlacionat positivament amb la temperatura mínima del mes de desembre. En aquest projecte també es pretén aprofundir en el coneixement sobre el desenvolupament floral d’aquesta espècie, descriure’n els diferents estadis i trobar un indicador adient per realitzar anàlisis estadístics. Uns aspectes gens banals tenint en compte la importància ecològica de la floració, sobretot en la seva sincronització amb el cicle vital dels pol·linitzadors així com en la seva importància adaptativa.

Can You Home Again? Desertion and Control of Hometowns in Civil Wars

What allows an armed group in a civil war to prevent desertion? This paper addresses this question with a focus on control in the rearguard. Most past studies focus on motivations for desertion. They explain desertion in terms of where soldiers stand in relation to the macro themes of the war, or in terms of an inability to provide positive incentives to overcome the collective action problem. However, since individuals decide whether and how to participate in civil wars for multiple reasons, responding to a variety of local conditions in an environment of threat and violence, a focus only on macro-level motivations is incomplete. The opportunities side of the ledger deserves more attention. I therefore turn my attention to how control by an armed group eliminates soldiers’ opportunities to desert. In particular, I consider the control that an armed group maintains over soldiers’ hometowns, treating geographic terrain as an important exogenous indicator of the ease of control. Rough terrain at home affords soldiers and their families and friends advantages in ease of hiding, the difficulty of using force, and local knowledge. Based on an original dataset of soldiers from Santander Province in the Spanish Civil War, gathered from archival sources, I find statistical evidence that the rougher the terrain in a soldier’s home municipality, the more likely he is to desert. I find complementary qualitative evidence indicating that soldiers from rough-terrain communities took active advantage of their greater opportunities for evasion. This finding has important implications for the way observers interpret different soldiers’ decisions to desert or remain fighting, for the prospect that structural factors may shape the cohesion of armed groups, and for the possibility that local knowledge may be a double-edged sword, making soldiers simultaneously good at fighting and good at deserting.

Abundància i persistència de Faecalibacteriun prausnitzii en la Malaltia de Crohn

Faecalibacterium prausnitzii és un del bacteris anaeròbis més abundants entre les espècies comensals del tracte intestinal humà sa. Aquesta espècie és una de les principals productores de butirat a l'intestí (que és la principal font d’energia per als colonòcits), però també s'ha suggerit que pot produir compostos antiinflamatoris i intervenir en la regulació de vàries rutes metabòliques de l’hoste. F. prausnitzii és un bacteri difícil de cultivar, ja que presenta una elevada sensibilitat a l'oxigen i presenta uns requeriments nutricionals molt exigents, el que ha compromès considerablement el nombre d’estudis basats en aïllats d’aquesta espècie. No obstant això, en els darrers anys l’interès en aquest bacteri està creixent ja que s’ha evidenciat que les poblacions de F. prausnitzii són variables en diferents grups d'edat i que es veuen reduïdes en certs trastorns intestinals com ara la malaltia inflamatòria intestinal i el càncer colorectal. L’objectiu d'aquest treball ha estat aprofundir en el rol que desenvolupa F. prausnitzii com un dels principals bacteris comensals del tracte intestinal humà. En primer lloc, s’ha dissenyat, optimitzat i validat un nou mètode molecular per determinar l’abundància d’aquesta espècie en mostres del tracte gastrointesinal, i s’ha demostrat la seva possible aplicació per ajudar al diagnòstic de la malaltia de Crohn. En segon lloc, s’ha dut a terme un estudi de les característiques filogenètiques i fenotípiques dels aïllats de F. Prausnitzii disponibles en l'actualitat a fi de coneixre’n millor la diversitat genètica i fenotípica i dilucidar quins factors són crucials en comprometre la població d’aquest bacteri en un intestí malalt. L’anàlisi de les soques ha revelat que F. prausnitzii inclou Principalment dos filogrups, nutricionalment versàtils i molt sensibles a canvis en les condicions ecològiques que pot patir l’intestí de l’hoste sota certes malalties intestinals. En conclusió, els resultat obtinguts en aquest estudi mostren que F. prausnitzii és una espècie ben establerta al còlon sa, amb una elvada versatilitat metabòlica ja que és capaç d’ interactuar amb carbohidrats de diferent estructura i complexitat. S’ha corroborat que aquest microorganisme seria un bon indicador de salut intestinal ja que la seva abundància es veu significativament reduida en pacients amb malaltia de Crohn. Aquests resultats concorden amb els obtinguts per proves fisiològiques que mostren una elevada sensibilitat de l’espècie a determinades condicions relacionades amb malalties intestinals. Estudis futurs s’orientaran a comprendre millor quins factros derrivats de la interacció amb l’hoste també determinen la persistència d’aquesta espècie en un intestí sa o malalt.

Educational innovation in large groups. Design of an experimental study implemented at the Polytechnic University of Madrid

The present paper shows de design of an experimental study conducted with large groups using educational innovation methodologies at the Polytechnic University of Madrid. Concretely, we have chosen the course titled "History and Politics of Sports" that belongs to the Physical Activity and Sport Science Degree. The selection of this course is because the syllabus is basically theoretical and there are four large groups of freshmen students who do not have previous experiences in a teaching-learning process based on educational innovation. It is hope that the results of this research can be extrapolated to other courses with similar characteristics.

Statistical Analysis of Eco-Toxicologic Data of Mammals from a Polluted Area

Several eco-toxicological studies have shown that insectivorous mammals, due to theirfeeding habits, easily accumulate high amounts of pollutants in relation to other mammal species. To assess the bio-accumulation levels of toxic metals and their in°uenceon essential metals, we quantified the concentration of 19 elements (Ca, K, Fe, B, P,S, Na, Al, Zn, Ba, Rb, Sr, Cu, Mn, Hg, Cd, Mo, Cr and Pb) in bones of 105 greaterwhite-toothed shrews (Crocidura russula) from a polluted (Ebro Delta) and a control(Medas Islands) area. Since chemical contents of a bio-indicator are mainly compositional data, conventional statistical analyses currently used in eco-toxicology can givemisleading results. Therefore, to improve the interpretation of the data obtained, weused statistical techniques for compositional data analysis to define groups of metalsand to evaluate the relationships between them, from an inter-population viewpoint.Hypothesis testing on the adequate balance-coordinates allow us to confirm intuitionbased hypothesis and some previous results. The main statistical goal was to test equalmeans of balance-coordinates for the two defined populations. After checking normality,one-way ANOVA or Mann-Whitney tests were carried out for the inter-group balances

Economic crisis and recovery: changes in second birth rates within occupational classes and educational groups

This study assesses the decline in second birth rates for men and women across different skill levels in transitional Russia. Changes within educational groups and occupational classes are observed over three distinct time periods: the Soviet era, economic crisis, and economic recovery. The most remarkable finding is the similarity in the extent second birth rates declined within educational groups and occupational classes during the economic crisis. Although further decline occurred in the recovery period, more variation emerged across groups.