Tenseness of Riemannian flows

We show that any transversally complete Riemannian foliation &em&F&/em& of dimension one on any possibly non-compact manifold M is tense; namely, (M,&em&F&/em&) admits a Riemannian metric such that the mean curvature form of &em&F&/em& is basic. This is a partial generalization of a result of Domínguez, which says that any Riemannian foliation on any compact manifold is tense. Our proof is based on some results of Molino and Sergiescu, and it is simpler than the original proof by Domínguez. As an application, we generalize some well known results including Masa's characterization of tautness.

Three-dimensional aspects of fluid flows in channels. II. Effects of meniscus and thin film regimes on viscous fingers

We perform a three-dimensional study of steady state viscous fingers that develop in linear channels. By means of a three-dimensional lattice-Boltzmann scheme that mimics the full macroscopic equations of motion of the fluid momentum and order parameter, we study the effect of the thickness of the channel in two cases. First, for total displacement of the fluids in the channel thickness direction, we find that the steady state finger is effectively two-dimensional and that previous two-dimensional results can be recovered by taking into account the effect of a curved meniscus across the channel thickness as a contribution to surface stresses. Second, when a thin film develops in the channel thickness direction, the finger narrows with increasing channel aspect ratio in agreement with experimental results. The effect of the thin film renders the problem three-dimensional and results deviate from the two-dimensional prediction.

Three-dimensional aspects of fluid flows in channels. I. Meniscus and thin film regimes

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects near the contact line. The difference between the slip and channel velocities determines whether the interface advances as a meniscus or a thin film of fluid is left adhered to the plates. We find that this effect is controlled by the capillary and Péclet numbers. We estimate the crossover from a meniscus to a thin film and find good agreement with numerical results. The penetration regime is examined in the steady state. We find that the occupation fraction of the advancing finger relative to the channel thickness is controlled by the capillary number and the viscosity contrast between the fluids. For high viscosity contrast, lattice-Boltzmann results agree with previous results. For zero viscosity contrast, we observe remarkably narrow fingers. The shape of the finger is found to be universal.

Self-similarity properties of natural images resemble those of turbulent flows

We show that the statistics of an edge type variable in natural images exhibits self-similarity properties which resemble those of local energy dissipation in turbulent flows. Our results show that self-similarity and extended self-similarity hold remarkably for the statistics of the local edge variance, and that the very same models can be used to predict all of the associated exponents. These results suggest using natural images as a laboratory for testing more elaborate scaling models of interest for the statistical description of turbulent flows. The properties we have exhibited are relevant for the modeling of the early visual system: They should be included in models designed for the prediction of receptive fields.

Three-dimensional aspects of fluid flows in channels. II. Effects of meniscus and thin film regimes on viscous fingers

We perform a three-dimensional study of steady state viscous fingers that develop in linear channels. By means of a three-dimensional lattice-Boltzmann scheme that mimics the full macroscopic equations of motion of the fluid momentum and order parameter, we study the effect of the thickness of the channel in two cases. First, for total displacement of the fluids in the channel thickness direction, we find that the steady state finger is effectively two-dimensional and that previous two-dimensional results can be recovered by taking into account the effect of a curved meniscus across the channel thickness as a contribution to surface stresses. Second, when a thin film develops in the channel thickness direction, the finger narrows with increasing channel aspect ratio in agreement with experimental results. The effect of the thin film renders the problem three-dimensional and results deviate from the two-dimensional prediction.

Three-dimensional aspects of fluid flows in channels. I. Meniscus and thin film regimes

We study the forced displacement of a fluid-fluid interface in a three-dimensional channel formed by two parallel solid plates. Using a lattice-Boltzmann method, we study situations in which a slip velocity arises from diffusion effects near the contact line. The difference between the slip and channel velocities determines whether the interface advances as a meniscus or a thin film of fluid is left adhered to the plates. We find that this effect is controlled by the capillary and Péclet numbers. We estimate the crossover from a meniscus to a thin film and find good agreement with numerical results. The penetration regime is examined in the steady state. We find that the occupation fraction of the advancing finger relative to the channel thickness is controlled by the capillary number and the viscosity contrast between the fluids. For high viscosity contrast, lattice-Boltzmann results agree with previous results. For zero viscosity contrast, we observe remarkably narrow fingers. The shape of the finger is found to be universal.

Anàlisi de l'estat de canvis en el patrimoni net i l'estat de fluxos d'efectiu : interpretació i anàlisi 2007-2011

L’objectiu d’aquest treball ha estat l’anàlisi dels dos nous documents comptables, l’Estat de Canvis en el Patrimoni Net – ECPN – i l’Estat de Fluxos d’Efectiu – EFE‐, introduïts amb la reforma comptable de 2007 [Reial Decret 1514/2007 de 16 de novembre i Reial Decret 1515/2007 per a petites i mitjanes empreses]. Aquest anàlisis s’ha portat a terme amb la finalitat d’analitzar com ha millorat i augmentat la informació per la presa de millors decisions tant per les empreses com per analistes externs. El treball consta de dues parts, la primera part està formada per un anàlisis teòric d’aquests dos documents. La segona part està formada per un anàlisis pràctic de les empreses del sector de Materials Bàsics, Indústria i Construcció de la Borsa de Madrid. D’aquestes empreses s’ha realitzat un anàlisis convencional i l’ anàlisis dels corresponents ECPN i EFE de cadascuna de les empreses, amb l’objectiu de comprovar la millora de la informació.

Developing discontinuous Galerkin methods for the resolution of the incompressible Navier-Stokes equations

Informe de investigación elaborado a partir de una estancia en el Laboratorio de Diseño Computacional en Aeroespacial en el Massachusetts Institute of Technology (MIT), Estados Unidos, entre noviembre de 2006 y agosto de 2007. La aerodinámica es una rama de la dinámica de fluidos referida al estudio de los movimientos de los líquidos o gases, cuya meta principal es predecir las fuerzas aerodinámicas en un avión o cualquier tipo de vehículo, incluyendo los automóviles. Las ecuaciones de Navier-Stokes representan un estado dinámico del equilibrio de las fuerzas que actúan en cualquier región dada del fluido. Son uno de los sistemas de ecuaciones más útiles porque describen la física de una gran cantidad de fenómenos como corrientes del océano, flujos alrededor de una superficie de sustentación, etc. En el contexto de una tesis doctoral, se está estudiando un flujo viscoso e incompresible, solucionando las ecuaciones de Navier- Stokes incompresibles de una manera eficiente. Durante la estancia en el MIT, se ha utilizado un método de Galerkin discontinuo para solucionar las ecuaciones de Navier-Stokes incompresibles usando, o bien un parámetro de penalti para asegurar la continuidad de los flujos entre elementos, o bien un método de Galerkin discontinuo compacto. Ambos métodos han dado buenos resultados y varios ejemplos numéricos se han simulado para validar el buen comportamiento de los métodos desarrollados. También se han estudiado elementos particulares, los elementos de Raviart y Thomas, que se podrían utilizar en una formulación mixta para obtener un algoritmo eficiente para solucionar problemas numéricos complejos.

Market rewards to patterns on increasing earnings: do cash flow patterns, accruals manipulation and real activities manipulation matter?

This study explores whether firms have differential price-earnings multiples associated with their means of achieving a sequential pattern of increasing positive earnings. Our main findings show that market participants assign higher price-earnings multiples to firms when their pattern of increasing earnings is supported by the same pattern of increasing cash flows. Market participants assign lower price-earnings multiples to firms suspect of having engaged in accrual-based earnings management, sales manipulation, and overproduction to achieve the earnings pattern. We find, however, that market participants do not penalize firms suspect of having achieved the earnings pattern through the opportunistic reduction of discretionary expenses.

On the valuation and incentive effects of executive cash bonus contracts

Executive compensation packages are often valued in an inconsistent manner: while employee stock options (ESOs) are typically valued ex-ante, cash bonuses are valued ex-post. This renders the existing valuation models of employee compensation packages theoretically unsatisfactory and, potentially, empirically distortive. In this paper, we propose an option-based framework for ex-ante valuation of cash bonus contracts. After obtaining closed-form expressions for ex-ante values of several frequently used types of bonus contracts, we utilize them to explore the e¤ects that the shape of a bonus contract has on the executive s attitude toward risk-taking. We, also, study pay-performance sensitivity of such contracts. We show that the terms of a bonus contract can dramatically impact both risk-taking behavior as well as pay-performance incentives. Several testable predictions are made, and venues of future research outlined.

Fair value versus historic cost-valuation for biological assets: Implications for the quality of financial information

[spa] Este trabajo realiza un estudio empírico sobre los efectos, que se señalan en las discusiones teóricas, de la utilización del valor razonable (VR) frente al coste histórico (CH), utilizando dos muestras de explotaciones agrícolas, una de las cuales valora sus activos biológicos a CH y la otra a VR. No se encontraron diferencias significativas en los beneficios e ingresos entre ambas muestras, ni siquiera en sus volatilidades. Tampoco se encontraron diferencias significativas en rentabilidad, manipulación contable, ni en el poder de ambos criterios de valoración para predecir los flujos de tesorería. Por el contrario, la mayor parte de los tests realizados revelan un mayor poder de los beneficios calculados bajo el VR para la predicción de los beneficios futuros, respecto de cuando son calculados bajo el CH. El estudio proporciona también evidencia empírica de prácticas contables defectuosas de CH en el sector agrícola, concluyendo que el VR puede representar un criterio de valoración interesante para un sector, como el agrícola, caracterizado por el predominio de pequeñas explotaciones familiares.

Fair value versus historic cost-valuation for biological assets: Implications for the quality of financial information

[spa] Este trabajo realiza un estudio empírico sobre los efectos, que se señalan en las discusiones teóricas, de la utilización del valor razonable (VR) frente al coste histórico (CH), utilizando dos muestras de explotaciones agrícolas, una de las cuales valora sus activos biológicos a CH y la otra a VR. No se encontraron diferencias significativas en los beneficios e ingresos entre ambas muestras, ni siquiera en sus volatilidades. Tampoco se encontraron diferencias significativas en rentabilidad, manipulación contable, ni en el poder de ambos criterios de valoración para predecir los flujos de tesorería. Por el contrario, la mayor parte de los tests realizados revelan un mayor poder de los beneficios calculados bajo el VR para la predicción de los beneficios futuros, respecto de cuando son calculados bajo el CH. El estudio proporciona también evidencia empírica de prácticas contables defectuosas de CH en el sector agrícola, concluyendo que el VR puede representar un criterio de valoración interesante para un sector, como el agrícola, caracterizado por el predominio de pequeñas explotaciones familiares.

Fair value versus historical cost-based valuation for biological assets: Predictability of financial information

There is an intense debate on the convenience of moving from historical cost (HC) toward the fair value (FV) principle. The debate and academic research is usually concerned with financial instruments, but the IAS 41 requirement of fair valuation for biological assets brings it into the agricultural domain. This paper performs an empirical study with a sample of Spanish farms valuing biological assets at HC and a sample applying FV, finding no significant differences between both valuation methods to assess future cash flows. However, most tests reveal more predictive power of future earnings under fair valuation of biological assets, which is not explained by differences in volatility of earnings and profitability. The study also evidences the existence of flawed HC accounting practices for biological assets in agriculture, which suggests scarce information content of this valuation method in the predominant small business units existing in the agricultural sector in advanced Western countries

IFRS adoption in Europe: the case of Germany

From 2005 onwards, consolidated financial statements of listed European companies will have to comply with IFRS (IAS). Many German companies began adopting those standards in the 1990s, on a voluntary basis, because of their need to access international capital funding. Spanish companies, by contrast, are not permitted to adopt IFRS before 2005. This paper has two purposes: first, it analyses the financial impact of initial IFRS adoption on the statement of changes in equity and the income statement of individual German companies. Second, and taking into account the German experience, it focuses on the expected impacts on a sample of listed Spanish companies in two industrial sectors: chemical-pharmaceutical and fashion. Our analysis of German companies comprised all non-financial DAX groups applying IFRS plus additional listed companies in the two selected industrial sectors identified above. The impact of initial adoption of IFRS on German companies was, both individually and overall, very significant. The analysis suggests that the expected impact on Spanish companies is likely to be significant but to a lesser degree than in respect of the German companies in the study.

Neglected risks, financial innovation, and financial fragility

We present a standard model of financial innovation, in which intermediaries engineer securities with cash flows that investors seek, but modify two assumptions. First, investors (and possibly intermediaries) neglect certain unlikely risks. Second, investors demand securities with safe cash flows. Financial intermediaries cater to these preferences and beliefs by engineering securities perceived to be safe but exposed to neglected risks. Because the risks are neglected, security issuance is excessive. As investors eventually recognize these risks, they fly back to safety of traditional securities and markets become fragile, even without leverage, precisely because the volume of new claims is excessive.