Carleson Measures and Logvinenko-Sereda sets on compact manifolds

Given a compact Riemannian manifold $M$ of dimension $m \geq 2$, we study the space of functions of $L^2(M)$generated by eigenfunctions ofeigenvalues less than $L \geq 1$ associated to the Laplace-Beltrami operator on $M$. On these spaces we give a characterization of the Carleson measures and the Logvinenko-Sereda sets.

Option valuation as an expectation in the complex domain: The Black-Scholes case

It is very well known that the first succesful valuation of a stock option was done by solving a deterministic partial differential equation (PDE) of the parabolic type with some complementary conditions specific for the option. In this approach, the randomness in the option value process is eliminated through a no-arbitrage argument. An alternative approach is to construct a replicating portfolio for the option. From this viewpoint the payoff function for the option is a random process which, under a new probabilistic measure, turns out to be of a special type, a martingale. Accordingly, the value of the replicating portfolio (equivalently, of the option) is calculated as an expectation, with respect to this new measure, of the discounted value of the payoff function. Since the expectation is, by definition, an integral, its calculation can be made simpler by resorting to powerful methods already available in the theory of analytic functions. In this paper we use precisely two of those techniques to find the well-known value of a European call

The Effect of a threshold proportional reinsurance strategy on ruin probabilities

[spa] En un modelo de Poisson compuesto, definimos una estrategia de reaseguro proporcional de umbral : se aplica un nivel de retención k1 siempre que las reservas sean inferiores a un determinado umbral b, y un nivel de retención k2 en caso contrario. Obtenemos la ecuación íntegro-diferencial para la función Gerber-Shiu, definida en Gerber-Shiu -1998- en este modelo, que nos permite obtener las expresiones de la probabilidad de ruina y de la transformada de Laplace del momento de ruina para distintas distribuciones de la cuantía individual de los siniestros. Finalmente presentamos algunos resultados numéricos.

Spontaneous mirror symmetry breaking in the limited enantioselective autocatalysis model: abyssal hydrotermal vents as scenario for the emergence of chirality in prebiotic chemistry

The emergence of chirality in enantioselective autocatalysis for compounds unable to transform according to the Frank-like reaction network is discussed with respect to the controversial limited enantioselectivity (LES) model composed of coupled enantioselective and non-enantioselective autocatalyses. The LES model cannot lead to spontaneous mirror symmetry breaking (SMSB) either in closed systems with a homogeneous temperature distribution or in closed systems with a stationary non-uniform temperature distribution. However, simulations of chemical kinetics in a two-compartment model demonstrate that SMSB may occur if both autocatalytic reactions are spatially separated at different temperatures in different compartments but coupled under the action of a continuous internal flow. In such conditions, the system can evolve, for certain reaction and system parameters, toward a chiral stationary state; that is, the system is able to reach a bifurcation point leading to SMSB. Numerical simulations in which reasonable chemical parameters have been used suggest that an ade- quate scenario for such a SMSB would be that of abyssal hydrothermal vents, by virtue of the typical temper- ature gradients found there and the role of inorganic solids mediating chemical reactions in an enzyme-like role. Key Words: Homochirality Prebiotic chemistry.

Apéndice. Análisis de la industria lítica de "Els Ermitons"

Después de la amplia exposición general que precede a nuestro estudio, no vamos a extendernos más en describir, en conjunto, los materiales de cada estrato. Nos hemos limitado a revisar a fondo todas y cada una de las piezas extraídas de la excavación; con anterioridad habían sido inventariadas y marcadas con un número correspondientes al fondo del Museo Arqueológico Provincial de Gerona, al que nosotros hacemos ahora referencia. Independientemente cada número de éstos abarca, en algunos casos, más de un útil, al aludir a un conjunto de piezas de una zona determinada, por lo que hemos procedido a marcar, a partir de 1, en cada caso, los útiles incluidos bajo una de las cifras de Gerona. En nuestra revisión hemos separado lo que ha sido considerado como útiles paleolíticos. La pobreza de estos materiales ha quedado ya suficientemente explicitada con anterioridad, tanto en su aspecto de utillaje como en el de la materia prima. En efecto, el total de útiles analizados, pertenecientes casi en su totalidad a los estratos III, IV Y V, es de 143. El método utilizado para la descripción del utillaje lítico ha sido el de la tipología analítica (Laplace, 1972). Somos plenamente conscientes de que su aplicación a una industria considerada como Paleolítico Medio es algo nuevo y que quizá sea aventurado, pero hemos de decir que la mera descripción de los útiles se puede enmarcar perfectamente en el campo de esta nueva metodología desde el punto de vista de una exposición objetiva de los retoques que conforman cada pieza. Nuestra decisión al decantarnos por la tipología analítica en nuestro estudio, es la de exponer simplemente las piezas, omitiendo al máximo las ambigüedades derivadas de las listas-tipo anteriores.

Revisión de la industria lítica de los niveles solutrenses de la cueva del Parpalló

El objeto de este artículo es el de dar a conocer, en la medida de lo posible, los resultados derivados de la revisión y nuevo estudio tipológico de los materiales líticos de la industria de los niveles solutrenses de la cueva del Parpalló. No es un dilema de fácil resolución el que se le presenta a un estudioso de la Prehistoria, y más concretamente del Paleolítico, a la hora de elegir su rama de estudio concreta; en nuestro caso particular abordamos la problemática de la tipología de la industria lítica paleolítica, que es en verdad tema extenso y trabajado por muchos investigadores. Las dos líneas hoy más en boga entre los paleolitistas son la propugnada por Mme. D. Sonneville-Bordes y J. Perrot (D. Sonneville-Bordes y J. Perrot, 1954-55-56) y por G. Laplace (Laplace, 1966, 1968, 1972 Y 1974 a) que no vamos a comentar aquí. La búsqueda de la mayor objetividad posible es la que, en nuestra opinión, debería decidir ya a los estudiosos del Paleolítico, sobre todo Superior, por el sistema tipológico analítico.

Polydispersity index from linear viscoelastic data: Unimodal and bimodal linear polymer melts

This article describes a method for determining the polydispersity index Ip2=Mz/Mw of the molecular weight distribution (MWD) of linear polymeric materials from linear viscoelastic data. The method uses the Mellin transform of the relaxation modulus of a simple molecular rheological model. One of the main features of this technique is that it enables interesting MWD information to be obtained directly from dynamic shear experiments. It is not necessary to achieve the relaxation spectrum, so the ill-posed problem is avoided. Furthermore, a determinate shape of the continuous MWD does not have to be assumed in order to obtain the polydispersity index. The technique has been developed to deal with entangled linear polymers, whatever the form of the MWD is. The rheological information required to obtain the polydispersity index is the storage G′(ω) and loss G″(ω) moduli, extending from the terminal zone to the plateau region. The method provides a good agreement between the proposed theoretical approach and the experimental polydispersity indices of several linear polymers for a wide range of average molecular weights and polydispersity indices. It is also applicable to binary blends.

Das Marzgefallenen-Denkmal. Monumento a los caidos de Marzo

Resumen: Walter Gropius desarrolla entre los años 1920 y 1922 un proyecto de monumento conocido como: Märzgefallenen-Denkmal (Monumento a los caídos de marzo). Se trata de un memorial dedicado a nueve obreros asesinados en Weimar, durante una manifestación en contra del Kapp Putsch (golpe de estado dirigido por Wolfgang Kapp). En el siguiente artículo se analiza la evolución del proyecto y de su implantación a través del análisis de la documentación gráfica de la obra. Observando muy especialmente las adaptaciones que transforman su diseño, condicionado por circunstancias externas. Nos hallamos ante un monumento de un gran valor histórico, político y social; capaz de una gran flexibilidad en la fase proyectual, y en cierto modo vestigio superviviente de todo un siglo. Abstract: Walter Gropius develops between the years 1920 and 1922 a monument known as: Märzgefallenen-Denkmal (Monument to the fallen of March). It is a memorial dedicated to nine workers killed in Weimar, during a demonstration against the Kapp Putsch (coup d'etat led by Wolfgang Kapp). The following article analyzes the evolution of the project and its implementation through analysis of the graphic documentation of the work. Noting especially the changes that transform the design, influenced by external circumstances. This is a monument of great historical, political and social interest; a work of art capable of great flexibility in its design stage, and the surviving vestige of a century. Palabras clave castellano: Monumento, política, destrucción, nazis Palabras clave inglés: Monument, politics, destruction, nazis

On the bicanonical map of irregular varieties

From the point of view of uniform bounds for the birationality of pluricanonical maps, irregular varieties of general type and maximal Albanese dimension behave similarly to curves. In fact Chen-Hacon showed that, at least when their holomorphic Euler characteristic is positive, the tricanonical map of such varieties is always birational. In this paper we study the bicanonical map. We consider the natural subclass of varieties of maximal Albanese dimension formed by primitive varieties of Albanese general type. We prove that the only such varieties with non-birational bicanonical map are the natural higher-dimensional generalization to this context of curves of genus $2$: varieties birationally equivalent to the theta-divisor of an indecomposable principally polarized abelian variety. The proof is based on the (generalized) Fourier-Mukai transform.

White under Black. Works from the imperceptible / 1. Blanca Casas Brullet: Make Say

White under Black. Works from the imperceptible / 1. Blanca Casas Brullet: Make Say The large photographs of Espacespages (2009) work to transform the creative space of the blank page toward the enabled space of openness to the world. The image gives prominence to the emptiness of the room, almost a cell, in which an action takes place, dimly illuminated by a pair of windows that makes me think of two eyes that attentively contemplate the interior of a process of creation.

Hand detection in cluttered scene images using Fourier-Mellin invariant features

This paper proposes an automatic hand detection system that combines the Fourier-Mellin Transform along with other computer vision techniques to achieve hand detection in cluttered scene color images. The proposed system uses the Fourier-Mellin Transform as an invariant feature extractor to perform RST invariant hand detection. In a first stage of the system a simple non-adaptive skin color-based image segmentation and an interest point detector based on corners are used in order to identify regions of interest that contains possible matches. A sliding window algorithm is then used to scan the image at different scales performing the FMT calculations only in the previously detected regions of interest and comparing the extracted FM descriptor of the windows with a hand descriptors database obtained from a train image set. The results of the performed experiments suggest the use of Fourier-Mellin invariant features as a promising approach for automatic hand detection.

A hybrid algorithm combining metaheuristic with Monte Carlo simulation for solving the Stochastic Flow Shop problem

In this paper, a hybrid simulation-based algorithm is proposed for the StochasticFlow Shop Problem. The main idea of the methodology is to transform the stochastic problem into a deterministic problem and then apply simulation to the latter. In order to achieve this goal, we rely on Monte Carlo Simulation and an adapted version of a deterministic heuristic. This approach aims to provide flexibility and simplicity due to the fact that it is not constrained by any previous assumption and relies in well-tested heuristics.

Hand detection in cluttered scene images using Fourier-Mellin invariant features

This paper proposes an automatic hand detection system that combines the Fourier-Mellin Transform along with other computer vision techniques to achieve hand detection in cluttered scene color images. The proposed system uses the Fourier-Mellin Transform as an invariant feature extractor to perform RST invariant hand detection. In a first stage of the system a simple non-adaptive skin color-based image segmentation and an interest point detector based on corners are used in order to identify regions of interest that contains possible matches. A sliding window algorithm is then used to scan the image at different scales performing the FMT calculations only in the previously detected regions of interest and comparing the extracted FM descriptor of the windows with a hand descriptors database obtained from a train image set. The results of the performed experiments suggest the use of Fourier-Mellin invariant features as a promising approach for automatic hand detection.

A hybrid algorithm combining metaheuristic with Monte Carlo simulation for solving the Stochastic Flow Shop problem

In this paper, a hybrid simulation-based algorithm is proposed for the StochasticFlow Shop Problem. The main idea of the methodology is to transform the stochastic problem into a deterministic problem and then apply simulation to the latter. In order to achieve this goal, we rely on Monte Carlo Simulation and an adapted version of a deterministic heuristic. This approach aims to provide flexibility and simplicity due to the fact that it is not constrained by any previous assumption and relies in well-tested heuristics.

JPEG standard uniform quantization error modeling with applications to sequential and progressive operation modes

In this paper we propose a method for computing JPEG quantization matrices for a given mean square error or PSNR. Then, we employ our method to compute JPEG standard progressive operation mode definition scripts using a quantization approach. Therefore, it is no longer necessary to use a trial and error procedure to obtain a desired PSNR and/or definition script, reducing cost. Firstly, we establish a relationship between a Laplacian source and its uniform quantization error. We apply this model to the coefficients obtained in the discrete cosine transform stage of the JPEG standard. Then, an image may be compressed using the JPEG standard under a global MSE (or PSNR) constraint and a set of local constraints determined by the JPEG standard and visual criteria. Secondly, we study the JPEG standard progressive operation mode from a quantization based approach. A relationship between the measured image quality at a given stage of the coding process and a quantization matrix is found. Thus, the definition script construction problem can be reduced to a quantization problem. Simulations show that our method generates better quantization matrices than the classical method based on scaling the JPEG default quantization matrix. The estimation of PSNR has usually an error smaller than 1 dB. This figure decreases for high PSNR values. Definition scripts may be generated avoiding an excessive number of stages and removing small stages that do not contribute during the decoding process with a noticeable image quality improvement.