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Probability distributions related to tilings of non-convex polygons

Journal of mathematical physics, 2018-09, Vol.59 (9) [Peer Reviewed Journal]

Author(s) ;2018 Author(s). Published by AIP Publishing. ;ISSN: 0022-2488 ;EISSN: 1089-7658 ;DOI: 10.1063/1.5049574 ;CODEN: JMAPAQ

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  • Title:
    Probability distributions related to tilings of non-convex polygons
  • Author: Adler, Mark ; van Moerbeke, Pierre
  • Subjects: Economic models ; Tiling ; Variations
  • Is Part Of: Journal of mathematical physics, 2018-09, Vol.59 (9)
  • Description: In this paper, we study random lozenge tilings of non-convex polygonal regions. The interaction of the non-convexities (cuts) leads to new kernels and thus new statistics for the tiling fluctuations near these regions. This paper gives new probability distributions and joint probability distributions for the fluctuation of tiles along lines in between the cuts.
  • Publisher: New York: American Institute of Physics
  • Language: English
  • Identifier: ISSN: 0022-2488
    EISSN: 1089-7658
    DOI: 10.1063/1.5049574
    CODEN: JMAPAQ
  • Source: Alma/SFX Local Collection
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