Inequalities for entropies and dimensions
arXiv:2209.07243
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.
11 pages. Accepted by CiE 2023 (Computability in Europe) conference