ar X iv : 0 80 3 . 26 97 v 1 [ m at h - ph ] 1 8 M ar 2 00 8 The limit shape of large alternating sign matrices

نویسندگان

  • F. Colomo
  • A. G. Pronko
چکیده

The problem of the limit shape of large alternating sign matrices (ASMs) is addressed by studying the emptiness formation probability (EFP) in the domain-wall six-vertex model. Assuming that the limit shape arises in correspondence to the 'condensation' of almost all solutions of the saddle-point equations for certain multiple integral representation for EFP, the limit shape of large ASMs is found. The case of 3-enumerated ASMs is also considered.

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تاریخ انتشار 2008