Anqie entropy and arithmetic compactification of natural numbers

DOI10.1007/s43037-021-00162-6zbMath1494.37006arXiv1811.11000OpenAlexW3000030693MaRDI QIDQ2062189

Fei Wei

Publication date: 27 December 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11000

zbMATH Keywords

\(K\)-groups\(\mathrm{C}^\ast\)-algebraanqie entropyarithmetic compactificationtotally disconnectedness

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) General theory of (C^*)-algebras (46L05) Miscellaneous applications of (K)-theory (19M05) Topological entropy (37B40) Symbolic dynamics (37B10) Geometric applications of topological (K)-theory (19L64) Dynamical systems and the theory of (C^*)-algebras (37A55) Relations between ergodic theory and number theory (37A44)

Cites Work

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• A Mathematical Theory of Communication
• The Chowla and the Sarnak conjectures from ergodic theory point of view
• Volume growth and entropy
• Continuity properties of entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Dynamics in one dimension
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• The analogues of entropy and of Fisher's information measure in free probability theory. I
• The Möbius function and distal flows
• Classification of homomorphisms and dynamical systems
• Topological Entropy
• Topology of natural numbers and entropy of arithmetic functions
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Entropy for Group Endomorphisms and Homogeneous Spaces

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