An algebraic framework for information theory: Classical Information
Information Theory
2009-10-12 v2 math.IT
Abstract
This work proposes a complete algebraic model for classical information theory. As a precursor the essential probabilistic concepts have been defined and analyzed in the algebraic setting. Examples from probability and information theory demonstrate that in addition to theoretical insights provided by the algebraic model one obtains new computational and anlytical tools. Several important theorems of classical probahility and information theory are formulated and proved in the algebraic framework.
Cite
@article{arxiv.0910.1536,
title = {An algebraic framework for information theory: Classical Information},
author = {Manas K. Patra and Samuel L. Braunstein},
journal= {arXiv preprint arXiv:0910.1536},
year = {2009}
}
Comments
35 pages. Typo corrected in the abstract