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Percolation of entropy functionals on Cayley tree graphs as a method of order-disorder character diagnostics of complex structures

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Publication:1049371
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DOI10.3103/S1062873809090202zbMath1181.82039MaRDI QIDQ1049371

A. N. Mikhalyuk, P. L. Titov, V. V. Yudin

Publication date: 12 January 2010

Published in: Bulletin of the Russian Academy of Sciences: Physics (Search for Journal in Brave)


zbMATH Keywords

percolationlong-range orderhoneycomb latticeCaley tree graphDuneau-Katz lattice


Mathematics Subject Classification ID

Applications of graph theory (05C90) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


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The Fibonacci-Penrose semigroup formalism and morphogenetic synthesis of quasicrystal mosaics ⋮ The Fibonacci fractal is a new fractal type ⋮ Entropic measure of the order-disorder character in lattice systems in the representation of coordination Cayley tree graphs



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