Inequalities for entropies and dimensions
Information Theory
2023-05-01 v2 math.IT
Metric Geometry
Abstract
We show that linear inequalities for entropies have a natural geometric interpretation in terms of Hausdorff and packing dimensions, using the point-to-set principle and known results about inequalities for complexities, entropies and the sizes of subgroups.
Keywords
Cite
@article{arxiv.2209.07243,
title = {Inequalities for entropies and dimensions},
author = {Alexander Shen},
journal= {arXiv preprint arXiv:2209.07243},
year = {2023}
}
Comments
11 pages. Accepted by CiE 2023 (Computability in Europe) conference