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Volumen 10 (2006) No. 2

Volumen 10 (2006) No. 2 imagen

An approximation scheme for the mass transfer problem

J. Rigoberto Gabriel and Beatris Escobedo-Trujillo

Resumen:

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.

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Valores irracionales de la función zeta de Riemann en los impares

Pedro Aceves Sánchez et al.

Resumen:

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.

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A note on the rigidity of the stable norm

Osvaldo Osuna

Resumen:

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.

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