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Inequalities for entropies and dimensions

2022/09/15 by Alexander Shen, Shen, Alexander · 1 citation
Mathematics · #Analytic and geometric function theory #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/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.

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