期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 331, 期 3, 页码 975-1003出版社
SPRINGER
DOI: 10.1007/s00220-014-2080-3
关键词
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We consider the monomer-dimer model on sequences of random graphs locally convergent to trees. We prove that the monomer density converges almost surely, in the thermodynamic limit, to an analytic function of the monomer activity. We characterise this limit as the expectation of the solution of a fixed point distributional equation and we give an explicit expression of the limiting pressure per particle.
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