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The paper investigates an extension of Christoffel duality to a certain family of Sturmian words. Given an Christoffel prefix w of length N of an Sturmian word of slope g we associate a N-companion slope g(N)* such that the upper Sturmian word o[...]texto impreso
We show how to \concatenate" variational principles over different bases into one over a single base, thereby providing a unifed Lagrangian treatment of interacting systems. As an example we study a Klein Gordon feld interacting with a mesically[...]texto impreso
The goal of this short note is to show the geometric structure of the Euler-Poincaré reduction procedure in Field Theories with special emphasis on the nature of the set of variations and the set of admissible sections. The method of Lagrange mu[...]texto impreso
Reduction for field theories with symmetry can be done either covariantly—that is, on spacetime—or dynamically—that is, after spacetime is split into space and time. The purpose of this article is to show that these two reduction procedures are,[...]texto impreso
We show how to enlarge the covariance groups of a wide variety of classical field theories in such a way that the resulting “covariantized” theories are éssentially equivalent to the originals. In particular, our technique will render many class[...]texto impreso
Let C be the bundle of connections of a principal G-bundle ?: P ? M,and let V be the vector bundle associated with P by a linear representation G ? GL(V ) on a finite-dimensional vector space V . The Lagrangians on J 1(C ×M V) whose current form[...]texto impreso
Guzmán Ozamiz, Miguel de ; Gaspar Alonso-Vega, María ; Castrillón López, Marco ; Soler Segura, Javier ; García Gual, Jesús Eduardo ; Hernández Gómez, Joaquín ; Sánchez García, Mercedes | Graó | 1999Este trabajo plantea con claridad un problemanteresante: la ausencia de un programa de detección, ayuda y estímulo para aquellos alumnos con capacidades matemáticas superiores a las habituales, muestra así mismo el retraso que esta situación den[...]texto impreso
The goal of this article is to give a simple formulation of some aspects about the construction of musical scales and the classical laws of consonance.texto impreso
Castrillón López, Marco ; Gadea, P.M. ; Muñoz Masqué, Jaime | the American Romanian Academy of Arts and Sciences (USA) | 1999The paper is a survey of several results by the authors, the main one of them being the following characterization of homogeneous algebraic distributions: Let us consider a vertical distribution D on the vector bundle p:E?M locally spanned by ve[...]texto impreso
Castrillón López, Marco ; Díaz-Cano Ocaña, Antonio ; Etayo Gordejuela, J. Javier ; Folgueira, Marta ; Infante del Río, Juan Antonio ; Pozo Coronado, Luis Miguel ; Rey Cabezas, Jose María | No publicado | 2013Material elaborado por profesores de la UCM para la asignatura de este nombre del grado en Ingeniería Matemáticas, el grado en Matemáticas y el grado en Matemáticas y Estadística. Contenidos: - Números enteros. Dígitos de control y criptografía[...]texto impreso
We compare Euler–Poincaré reduction in principal fibre bundles, as a constrained variational problem on the connections of this fibre bundle and constraint defined by the vanishing of the curvature of the connection, with the corresponding probl[...]texto impreso
Let G be a Lie group and let L:TG?R be a Lagrangian invariant under the natural action of G on its tangent bundle. Then L induces a function l:(TG)/G?g?R called the reduced Lagrangian, g being the Lie algebra of G. As is well known, the Euler-La[...]texto impreso
The goal of this short note is to show the constrained nature of the set of variations and the set of admissible sections of the Euler-Poincare reduction scheme for field theories in both the continuous formalism and in a discrete model
