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Birkhoff's theorem for a family of probability spaces

Y. Safarov
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Abstract

The paper extends Birkhoff's theorem on doubly stochastic matrices to some countable families of discrete probability spaces with nonempty intersections. We join every two elements lying in the same probability space by an edge and formulate our results in terms of the obtained graph.

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Y. Safarov. 2005-12-19. Birkhoff's theorem for a family of probability spaces. https://arxiv.org/abs/math/0512451

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