Large deviation for BSDE with subdifferential operator

In this paper we prove that the solution of a backward stochastic differential equation, which involves a subdifferential operator and associated to a family of reflecting diffusion processes, converges to the solution of a deterministic backward equation and satisfes a large deviation principle.

CM points and weight 3=2 modular forms

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Multiplicity of limit cycles and analytic m-solutions for planar differential systems

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Real rank zero algebras have the corona factorization property

The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebra admits an injection of the compact operators (a question already considered in [21]).

Stability of periodic solutions obtained via the averaging method for nonsmooth Lipschitz system

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Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings

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On the stability of periodic orbits in Rn

We consider an autonomous differential system in Rn with a periodic orbit and we give a new method for computing the characteristic multipliers associated to it. Our method works when the periodic orbit is given by the transversal intersection of n ¡ 1 codimension one hypersurfaces and is an alternative to the use of the first order variational equations. We apply it to study the stability of the periodic orbits in several examples, including a periodic solution found by Steklov studying the rigid body dynamics.

Anàlisi socio-ambiental dels usos tradicionals, actuals i futurs de les bordes : prova pilot a la zona del Bosc de Virós (Pallars Sobirà)

El present projecte ha estat desenvolupat entre l’octubre de 2006 i el febrer de 2007 per un equip de llicenciades en Ciències Ambientals per la Universitat Autònoma de Barcelona. L’objecte d’estudi han estat les bordes, construccions agro-ramaderes utilitzades tradicionalment per a emmagatzemar l’herba i estabular-hi el bestiar. L’àmbit d’estudi seleccionat ha estat el Bosc de Virós, contingut dins el municipi d’Alins, a la comarca del Pallars Sobirà, Catalunya. Part de la superfície estudiada es troba sota la protecció del Parc Natural de l’Alt Pirineu. Per a dur a terme aquest estudi, s’ha desenvolupat una metodologia d’estudi de bordes amb dues vessants diferenciades que requereixen de tècniques metodològiques específiques. La vessant tècnica d’aquestes construccions s’ha materialitzat en un inventari de bordes, desenvolupat a partir de dades obtingudes durant l’observació al camp. La vessant etnològica s’ha obtingut a través de la realització d’entrevistes als propietaris, usuaris i gestors de la zona. A partir de l’anàlisi dels resultats, s’ha detectat una pèrdua de la funció tradicional d’aquestes construccions, derivant a una diversificació dels usos i un elevat grau d’abandonament d’aquestes. La diagnosi de l’estat d’aquests edificis i la seva influència sobre l’entorn és que els nous usos desenvolupats generen pressions sobre el medi i que el desús implica la degradació de l’estructura, amb la conseqüent pèrdua de patrimoni.

Factores de marketing que determinan el rendimiento internacional de las empresas exportadoras españolas: enfoque sobre las empresas born-global

El estudio de las nuevas empresas se ha convertido en una parte importante de la literatura sobre la creación de empresas internacionales y dentro de este campo las empresas que empiezan la actividad internacional a poco tiempo después de su creación, nombradas empresas born-global, en adelante BG*, empiezan a despertar el interés de los investigadores. En España, hasta la fecha el número de estudios, que han investigado las empresas BG, es limitado. El objetivo de la investigación es contribuir a explicar los factores claves, principalmente de marketing, que influyen sobre el rendimiento internacional de las empresas BG españolas y las empresas exportadoras tradicionales. En base a una revisión de la literatura específica, se desarrolla un modelo para explicar los factores determinantes del rendimiento internacional de este tipo de empresas, que es comprobado en una muestra de 29 empresas BG y 26 empresas exportadoras tradicionales. Los resultados demuestran que el modelo es significativo, los factores propuestos influyen sobre el rendimiento internacional de estas empresas. Sin embargo, sólo uno de los factores propuestos, la calidad del producto, es el factor clave que más determina el rendimiento internacional de las empresas BG, y para las empresas exportadoras tradicionales es otro factor distinto, la diferenciación del producto, lo que más determina el rendimiento internacional. Conclusiones y limitaciones del estudio son presentadas junto con indicaciones para futuras investigaciones.

An analysis of strategic paths through the decomposition of total factor productivity: the case of Spanish savings banks

The Spanish savings banks attracted quite a considerable amount of interest within the scientific arena, especially subsequent to the disappearance of the regulatory constraints during the second decade of the 1980s. Nonetheless, a lack of research identified with respect to mainstream paths given by strategic groups, and the analysis of the total factor productivity. Therefore, on the basis of the resource-based view of the firm and cluster analysis, we make use of changes in structure and performance ratios in order to identify the strategic groups extant in the sector. We attain a threeways division, which we link with different input-output specifications defining strategic paths. Consequently, on the basis of these three dissimilar approaches we compute and decompose a Hicks-Moorsteen total factor productivity index. Obtained results put forward an interesting interpretation under a multi-strategic approach, together with the setbacks of employing cluster analysis within a complex strategic environment. Moreover, we also propose an ex-post method of analysing the outcomes of the decomposed total factor productivity index that could be merged with non-traditional techniques of forming strategic groups, such as cognitive approaches.

Dynamics of the third order Lyness' difference equation

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On the number of K3,3-minor-free and maximal K3,3-minor-free graphs

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Numerical schemes of diffusion asymptotics and moment closures for kinetic equations

We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entropy minimization. We introduce a specific asymptotic-induced numerical strategy which is able to treat the stiff terms of the asymptotic diffusive regime. We evaluate on numerics the performances of the method and the abilities of the reduced models to capture the main features of the full kinetic equation.

Weighted Hardy spaces for the unit disc: approximation properties

In this paper we study basic properties of the weighted Hardy space for the unit disc with the weight function satisfying Muckenhoupt's (Aq) condition, and study related approximation problems (expansion, moment and interpolation) with respect to two incomplete systems of holomorphic functions in this space.

Generating trees for permutations avoiding generalized patterns

We construct generating trees with with one, two, and three labels for some classes of permutations avoiding generalized patterns of length 3 and 4. These trees are built by adding at each level an entry to the right end of the permutation, which allows us to incorporate the adjacency condition about some entries in an occurrence of a generalized pattern. We use these trees to find functional equations for the generating functions enumerating these classes of permutations with respect to different parameters. In several cases we solve them using the kernel method and some ideas of Bousquet-Mélou [2]. We obtain refinements of known enumerative results and find new ones.