Loops, matchings and alternating-sign matrices
نویسنده
چکیده
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes onmatchings is reviewed.New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge tilings of hexagons with cut off corners. © 2005 Elsevier B.V. All rights reserved.
منابع مشابه
3 O ct 2 00 3 Loops , matchings and alternating - sign matrices ∗
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes on matchings is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge tilings of hexagons with cut off corners.
متن کاملX iv : m at h . C O / 0 21 12 85 v 2 3 O ct 2 00 3 Loops , matchings and alternating - sign matrices ∗
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes on matchings is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge tilings of hexagons with cut off corners.
متن کامل2–enumerations of Halved Alternating Sign Matrices
2–ENUMERATIONS OF HALVED ALTERNATING SIGN MATRICES THERESIA EISENKÖLBL Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria. E-mail: [email protected] Abstract. We compute 2–enumerations of certain halved alternating sign matrices. In one case the enumeration equals the number of perfect matchings of a halved Aztec diamond. In the other case the e...
متن کاملN ov 2 00 2 The art of number guessing : where combinatorics meets physics ∗
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes on matchings is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge tilings of hexagons with cut off corners.
متن کاملar X iv : m at h . C O / 0 20 81 25 v 1 1 5 A ug 2 00 2 The many faces of alternating - sign matrices
I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, threecolorings, monotone triangles, tetrahedral order ideals, square ice, gasketand-basket tilings and full packings of loops. (This article has been published in a conference edition of t...
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عنوان ژورنال:
- Discrete Mathematics
دوره 298 شماره
صفحات -
تاریخ انتشار 2005