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The interface of noncommutative geometry and physics
(2004-01)
As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ...
Una fundamentación instrumental de la Aritmética
(1990)
Desde el punto de vista de la génesis histórica y psicológica del conocimiento humano, poca duda cabe que los números naturales van siendo elaborados como referente social en el proceso de conteo. En este artículo se ...
El problema de los subespacios invariantes
(1983-11)
El Prof. Carl Pearcy, de la Universidad de Michigan en Ann Arbor, visitó la Escuela de Matemática en noviembre de 1983, y ofreció un minicurso de tres sesiones sobre el problema de los subespacios invariantes. Dicho problema ...
The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)
A formalism is proposed for developing phase-space representations of
elementary quantum systems under general invariance groups. Several
examples are discussed, including the usual Weyl calculus, the Moyal
formulation ...
A Geometric Splitting Theorem
(2019)
Let G = G1...Gl be a connected noncompact semisimple
Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically
transitive on a manifold M. We obtain a geometric splitting
of the metric on M that consider ...
Estrategias asociadas al uso de GeoGebra en un contexto de resolución de problemas
Strategies associated with the use of GeoGebra in a problem-solving context
Estratégias associadas ao uso do GeoGebra em um contexto de resolução de problemas
(2021-01-15)
Este artículo presenta una experiencia en aula de matemática cuyo objetivo fue analizar cómo el uso constante de un Sistema de Geometría Dinámica (SGD), GeoGebra, en un contexto de resolución de problemas, permitió a un ...
Stability of a second-order method for phase change in porous media flow
(2018)
We analyse the stability of a second-order finite element scheme for the primal formulation of a Brinkman-Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in ...
A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation
(2023-09)
Throughout the progress of epidemic scenarios, individuals in different health classes are expected to have different average daily contact behavior. This contact heterogeneity has been studied in recent adaptive models ...
New mixed finite element methods for natural convection with phase-change in porous media
(2019)
This article is concerned with the mathematical and numerical analysis of a steady phase change problem for non-isothermal incompressible viscous flow. The system is formulated in terms of pseudostress, strain rate and ...
S-matrix from the metaplectic representation
(1992-03)
We show how the S-matrix for bosons in an external field can be derived directly from the infinite dimensional metaplectic representation, in terms of the classical scattering operator.