Volume 10 (2006) No. 2
Volume 10 (2006) No. 2
An approximation scheme for the mass transfer problem
J. Rigoberto Gabriel and Beatris Escobedo-Trujillo
Abstract:
This paper presents an approximation scheme for the Monge-Kantorovich mass transfer (MT) problem in separable metric spaces. A sequence of finite-dimensional linear programs (transport problems) are introduced and it is proven that the value of the MT problem is the limit of a subsequence of the optimal values of these programs.
Valores irracionales de la función zeta de Riemann en los impares
Pedro Aceves Sánchez et al.
Abstract:
En este trabajo daremos la prueba detallada del teorema de Ball y Rivoal, presentada en el 2001, sobre el hecho de que la sucesión $\{ \zeta (2n+1)\}_{n \geq 1}$ contiene una infinidad de números irracionales.
A note on the rigidity of the stable norm
Osvaldo Osuna
Abstract:
Given two metrics on a closed manifold, we ask, in analogy with the marked length spectrum problem, if two metrics with negative curvature and the same stable norm are isometric. We give a negative answer to this question; however, we obtain some affirmative results in the case of the $n$-torus.