Branching random motions, nonlinear hyperbolic systems and traveling waves

A branching random motion on a line, with abrupt changes of direction, is studied. The branching mechanism, being independient of random motion, and intensities of reverses are defined by a particle's current direction. A soluton of a certain hyperbolic system of coupled non-linear equations (Kolmogorov type backward equation) have a so-called McKean representation via such processes. Commonly this system possesses traveling-wave solutions. The convergence of solutions with Heaviside terminal data to the travelling waves is discussed.This Paper realizes the McKean programme for the Kolmogorov-Petrovskii-Piskunov equation in this case. The Feynman-Kac formula plays a key role.

Fields of vision. Literature in the english language. 1.

Antología de la literatura en lengua inglesa desde los orígenes hasta la época contemporánea. Su objetivo es inculcar en los estudiantes el amor por la literatura y hacer que participen activamente en la experiencia del aprendizaje a través de: un examen a fondo del mundo literario en inglés basado en una selección equilibrada de autores y textos; una estructura modular en la que cada módulo corresponde a un período histórico / literario; una introducción a la apreciación de los textos literarios a través del análisis de las principales características de los géneros literarios; así como un enfoque flexible, que permite elaborar itinerarios modulares y realizar análisis de texto completo.

Fields of vision. Literature in the english language. 2.

Antología de la literatura en lengua inglesa desde los orígenes hasta la época contemporánea. Su objetivo es inculcar en los estudiantes el amor por la literatura y hacer que participen activamente en la experiencia del aprendizaje a través de: un examen a fondo del mundo literario en inglés basado en una selección equilibrada de autores y textos; una estructura modular en la que cada módulo corresponde a un período histórico / literario; una introducción a la apreciación de los textos literarios a través del análisis de las principales características de los géneros literarios; así como un enfoque flexible, que permite elaborar itinerarios modulares y realizar análisis de texto completo.

A scaled-down conference model for courses covering ever-changing fields in computer science undergraduate degree programs

Resumen tomado de la publicación

Medical image registration based on random line sampling

One of the key aspects in 3D-image registration is the computation of the joint intensity histogram. We propose a new approach to compute this histogram using uniformly distributed random lines to sample stochastically the overlapping volume between two 3D-images. The intensity values are captured from the lines at evenly spaced positions, taking an initial random offset different for each line. This method provides us with an accurate, robust and fast mutual information-based registration. The interpolation effects are drastically reduced, due to the stochastic nature of the line generation, and the alignment process is also accelerated. The results obtained show a better performance of the introduced method than the classic computation of the joint histogram

Random walk radiosity with generalized absorption probabilities

The author studies random walk estimators for radiosity with generalized absorption probabilities. That is, a path will either die or survive on a patch according to an arbitrary probability. The estimators studied so far, the infinite path length estimator and finite path length one, can be considered as particular cases. Practical applications of the random walks with generalized probabilities are given. A necessary and sufficient condition for the existence of the variance is given, together with heuristics to be used in practical cases. The optimal probabilities are also found for the case when one is interested in the whole scene, and are equal to the reflectivities

Error and complexity of random walk Monte Carlo radiosity

The author studies the error and complexity of the discrete random walk Monte Carlo technique for radiosity, using both the shooting and gathering methods. The author shows that the shooting method exhibits a lower complexity than the gathering one, and under some constraints, it has a linear complexity. This is an improvement over a previous result that pointed to an O(n log n) complexity. The author gives and compares three unbiased estimators for each method, and obtains closed forms and bounds for their variances. The author also bounds the expected value of the mean square error (MSE). Some of the results obtained are also shown

Analysis and Simulation of Transverse Random Fracture of Long Fibre Reinforced Composites

La present tesi proposa una metodología per a la simulació probabilística de la fallada de la matriu en materials compòsits reforçats amb fibres de carboni, basant-se en l'anàlisi de la distribució aleatòria de les fibres. En els primers capítols es revisa l'estat de l'art sobre modelització matemàtica de materials aleatoris, càlcul de propietats efectives i criteris de fallada transversal en materials compòsits. El primer pas en la metodologia proposada és la definició de la determinació del tamany mínim d'un Element de Volum Representatiu Estadístic (SRVE) . Aquesta determinació es du a terme analitzant el volum de fibra, les propietats elàstiques efectives, la condició de Hill, els estadístics de les components de tensió i defromació, la funció de densitat de probabilitat i les funcions estadístiques de distància entre fibres de models d'elements de la microestructura, de diferent tamany. Un cop s'ha determinat aquest tamany mínim, es comparen un model periòdic i un model aleatori, per constatar la magnitud de les diferències que s'hi observen. Es defineix, també, una metodologia per a l'anàlisi estadístic de la distribució de la fibra en el compòsit, a partir d'imatges digitals de la secció transversal. Aquest anàlisi s'aplica a quatre materials diferents. Finalment, es proposa un mètode computacional de dues escales per a simular la fallada transversal de làmines unidireccionals, que permet obtenir funcions de densitat de probabilitat per a les variables mecàniques. Es descriuen algunes aplicacions i possibilitats d'aquest mètode i es comparen els resultats obtinguts de la simulació amb valors experimentals.

Guidelines for strategic national planning of training and education for museums, cultural heritage and related fields in Sweden and in international co-operation

The guidelines presented in this document are a preliminary strategy for establishing a comprehensive policy for the needs of training and education wiyhin the sector and adjoining areas, across fields of knowledge and professions concerned, on relevant levels and for the varies institutions and operators. The objective of these guidelines is to analysis the problems, objectives and goals for development of a far reaching system of educational and training programs and courses for museums, cultural heritage and related fields of activities. This objective comprises a close collaboration between museum, cultural heritage organizations and educating organizations, notably within universities and colleges, but also other kinds of educating bodies.

Museologial action's main fields

Museology has emerged and has been organised as a field of knowledge, precisely to frame the technical, theoretical and methodological aspects, regarding the constitution, implementation and evaluation of the processes that societies establish for the selection, treatment and extroversion of the memory indicators, transforming them into patrimonial references and projecting them into the constitutive fields of cultural heritage. It is therefore, one of the areas of knowledge that deals with the framing of heritage and their professionals are agents of memory education. The constitution of the parameters that define and delimit the museological action field has been outlined in the course of the centuries, if we consider the technical efforts related to the identification and organisation of collections, in addition to the curatorial treatment of specimens from nature, of objects, of the intangible heritage registers. The same length of elaboration is true if we evaluate the communication initiatives and of education of the senses.