Inequalities for entropies and dimensions

DOI10.1007/978-3-031-36978-0_10arXiv2209.07243OpenAlexW4384789545MaRDI QIDQ6149035

Alexander Shen

Publication date: 12 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07243

zbMATH Keywords

Hausdorff dimensionKolmogorov complexitypacking dimension

Mathematics Subject Classification ID

Logic in computer science (03B70) Theory of computing (68Qxx)

Cites Work

• Inequalities for Shannon entropy and Kolmogorov complexity
• Entropy Region and Convolution
• Kolmogorov Complexity and Algorithmic Randomness
• On a relation between information inequalities and group theory
• On characterization of entropy function via information inequalities
• Algorithmic Information, Plane Kakeya Sets, and Conditional Dimension
• Logical basis for information theory and probability theory

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