A New Convexity Result and the Multiple Access Channel

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

We compute the capacity region of the s-sender Multiple Access Adder Channel
in information theory and obtain an explicit description of this region as only
one polyhedron, instead of a convex hull of infinitely many polyhedrons. We
obtain this by proving a conjecture raised by Lindstrom in 1975, which in turn
follows from certain convexity results, both continuous and discrete.

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