The Apollonian decay of beer foam bubble size distribution and the lattices of Young diagrams and their correlated mixing functions

DOI10.1155/DDNS/2006/79717zbMath1101.82034MaRDI QIDQ2491486

Ernst-Christoph Haß, Peter Jörg Plath, Sonja Sauerbrei

Publication date: 29 May 2006

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126797

zbMATH Keywords

Shannon entropyYoung diagramsApollonian gasketYoung order

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Combinatorial aspects of representation theory (05E10) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Fractals (28A80) General applied mathematics (00A69) Measures of information, entropy (94A17)

Related Items

Lorenz curves, size classification, and dimensions of bubble size distributions, Diffusion without constraints, Discrete vector models for catalysis and autocatalysis, Discrete dynamics by different concepts of majorization

Cites Work

• A Mathematical Theory of Communication
• On the Shannon entropy and related functionals on convex sets
• Improved bounds for the disk-packing constant
• Information Theory and Statistical Mechanics
• The residual set dimension of the Apollonian packing
• On the Partition Function p (n )
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