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Conference Papers Year : 2023

Inequalities for entropies and dimensions

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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Dates and versions

lirmm-03843708 , version 1 (08-11-2022)

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Alexander Shen. Inequalities for entropies and dimensions. Unity of Logic and Computation. CiE 2023, Computability in Europe association, Jul 2023, Batumi, Georgia. pp.120-131, ⟨10.1007/978-3-031-36978-0_10⟩. ⟨lirmm-03843708⟩
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