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Asymptotic Expansions for λ d of the Dimer and Monomer-Dimer Problems

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Abstract

In the past few years we have derived asymptotic expansions for λ d of the dimer problem and λ d (p) of the monomer-dimer problem. The many expansions so far computed are collected herein. We shine a light on results in two dimensions inspired by the work of M.E. Fisher. Much of the work reported here was joint with Shmuel Friedland.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1043, USA

    Paul Federbush

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  1. Paul Federbush
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Correspondence to Paul Federbush.

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Dedicated to M.E. Fisher, J.K. Percus and B. Widom.

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Federbush, P. Asymptotic Expansions for λ d of the Dimer and Monomer-Dimer Problems. J Stat Phys 150, 487–490 (2013). https://doi.org/10.1007/s10955-012-0540-8

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  • DOI: https://doi.org/10.1007/s10955-012-0540-8

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