"Lozenge tilings (rhombus tiling)"의 두 판 사이의 차이

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imported>Pythagoras0
imported>Pythagoras0
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==introduction==
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* plane partitions, lozenge tilings of a hexagon, perfect matchings on a honeycomb graph, and families of non-intersecting lattice paths in a hexagon are all in bijection
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==memo==
 
* http://www.h-k.fr/seb/these/articles/generation_fin_JDA04_Seb.pdf
 
* http://www.h-k.fr/seb/these/articles/generation_fin_JDA04_Seb.pdf
 
* rhombus tilings of an abc-hexagon
 
* rhombus tilings of an abc-hexagon

2015년 7월 10일 (금) 00:19 판

introduction

  • plane partitions, lozenge tilings of a hexagon, perfect matchings on a honeycomb graph, and families of non-intersecting lattice paths in a hexagon are all in bijection

memo

articles

  • Cook II, David, and Uwe Nagel. ‘Signed Lozenge Tilings’. arXiv:1507.02507 [math], 6 July 2015. http://arxiv.org/abs/1507.02507.
  • Petrov, Leonid. “Asymptotics of Uniformly Random Lozenge Tilings of Polygons. Gaussian Free Field.” The Annals of Probability 43, no. 1 (February 2015): 1–43. doi:10.1214/12-AOP823.
  • Ciucu, Mihai, and Ilse Fischer. “Lozenge Tilings of Hexagons with Arbitrary Dents.” arXiv:1412.3945 [math], December 12, 2014. http://arxiv.org/abs/1412.3945.