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Combinatorial analysis of magnetic configurations. (English) Zbl 0981.05534
Summary: Properties of polynomial coefficients are applied to investigation of finite spin systems. Number of spin-configurations states with a given total magnetization are calculated by recurrence formulas for polynomial coefficients and for the sum of polynomial coefficients.
MSC:
05E15 Combinatorial aspects of groups and algebras (MSC2010)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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