English

The almost-entropic regions are not semialgebraic

Information Theory 2016-02-23 v3 math.IT

Abstract

We prove that the almost-entropic region of order four is not semialgebraic, we get as a corollary the well-known Theorem of Matus, which asserts that this region is not polyhedral

Cite

@article{arxiv.1510.02658,
  title  = {The almost-entropic regions are not semialgebraic},
  author = {Carolina Mejia and J. Andres Montoya},
  journal= {arXiv preprint arXiv:1510.02658},
  year   = {2016}
}

Comments

9 pages The paper has been withdrawn by the authors due to a flaw in the proof of the main result

R2 v1 2026-06-22T11:16:33.160Z