Birkhoff's theorem for a family of probability spaces

Details Birkhoff's theorem for a family of probability spaces Birkhoff's theorem for a family of probability spaces

2005-12-19

arxiv.org/abs/math/0512451v1

Mathematics

Combinatorics

20 pages; to appear in "St Petersburg Mathematical Journal", vol. 17, No. 5. See also http://www.mth.kcl.ac.uk/~ysafarov/Publi

Scientific paper

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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