Noncontinous additive entropies of partitions
Information Theory
2015-03-20 v1 math.IT
Probability
Abstract
In a previous paper: A. Paszkiewicz, T. Sobieszek, Additive Entropies of Partitions, we have given a description of additive partition entropies that is real functions on the set of finite partitions that are additive on stochastically independent partitions in a given probability space. We now present an analogical result, this time without assuming continuity. As a by-product of our efforts we solve a 2-cocycle functional equation for certain subsets of convex cones.
Keywords
Cite
@article{arxiv.1202.4590,
title = {Noncontinous additive entropies of partitions},
author = {Tomasz Sobieszek},
journal= {arXiv preprint arXiv:1202.4590},
year = {2015}
}