Inequalities for entropies and dimensions

Alexander Shen

doi:10.1007/978-3-031-36978-0_10

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Inequalities for entropies and dimensions

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Inequalities for entropies and dimensions

Alexander Shen

Unity of Logic and Computation. CiE 2023. Lecture Notes in Computer Science, vol 13967, Vol.13967, pp.120-131

Lecture Notes in Computer Science

CiE 2023 - 19th Conference on Computability in Europe (Batumi, Georgia, 24/07/2023–28/07/2023)

07/2023

DOI: https://doi.org/10.1007/978-3-031-36978-0_10

Résumé

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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Titre: Inequalities for entropies and dimensions
Créateurs - sans rôle: Alexander Shen - Laboratoire d'Informatique, de Robotique et de Microélectronique de Montpellier
Détails de publication: Unity of Logic and Computation. CiE 2023. Lecture Notes in Computer Science, vol 13967, Vol.13967, pp.120-131
Colloque: CiE 2023 - 19th Conference on Computability in Europe (Batumi, Georgia, 24/07/2023–28/07/2023)
Publications en série: Lecture Notes in Computer Science
Identifiants: 9947911309311
Unité académique: Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier - LIRMM
Langue: English
Type de ressource: Conference proceeding
Champs locaux: lirmm-03843708