English

A New Convexity Result and the Multiple Access Channel

Classical Analysis and ODEs 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0009102,
  title  = {A New Convexity Result and the Multiple Access Channel},
  author = {Shaohui Zhai},
  journal= {arXiv preprint arXiv:math/0009102},
  year   = {2007}
}
R2 v1 2026-07-22T16:34:40.691Z