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Probability distributions related to tilings of non-convex polygons.
- Source :
-
Journal of Mathematical Physics . Sep2018, Vol. 59 Issue 9, pN.PAG-N.PAG. 21p. 3 Color Photographs, 1 Graph. - Publication Year :
- 2018
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 59
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 132095993
- Full Text :
- https://doi.org/10.1063/1.5049574