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Correlations for the Novak process
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2012 (English)In: Discrete Mathematics & Theoretical Computer Science, ISSN 1462-7264, E-ISSN 1365-8050, 643-654 p.Article in journal (Refereed) Published
Abstract [en]

We study random lozenge tilings of a certain shape in the plane called the Novak half-hexagon, and compute the correlation functions for this process. This model was introduced by Nordenstam and Young (2011) and has many intriguing similarities with a more well-studied model, domino tilings of the Aztec diamond. The most difficult step in the present paper is to compute the inverse of the matrix whose (i, j)-entry is the binomial coefficient C(A, Bj - i) for indeterminate variables A and B1,⋯, Bn.

Place, publisher, year, edition, pages
2012. 643-654 p.
Keyword [en]
Experimental mathematics and inverse matrices, Eynard-Mehta theorem, Non-intersecting lattice paths, Tilings
National Category
URN: urn:nbn:se:kth:diva-144758ScopusID: 2-s2.0-84887545941OAI: diva2:716487
24th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2012; Nagoya; Japan; 30 July 2012 through 3 August 2012

QC 20140509

Available from: 2014-05-09 Created: 2014-04-29 Last updated: 2014-05-09Bibliographically approved

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