"Lozenge tilings (rhombus tiling)"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| + | ==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== | ||
* 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 | ||
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==articles== | ==articles== | ||
| + | * Laura Escobar, Alexander Yong, Rhombic tilings and Bott-Samelson varieties, arXiv:1605.05613 [math.CO], May 18 2016, http://arxiv.org/abs/1605.05613 | ||
| + | * Vadim Gorin, Bulk universality for random lozenge tilings near straight boundaries and for tensor products, http://arxiv.org/abs/1603.02707v1 | ||
| + | * Vadim Gorin, Bulk universality for random lozenge tilings near straight boundaries and for tensor products, http://arxiv.org/abs/1603.02707v1 | ||
| + | * Duits, Maurice. “On Global Fluctuations for Non-Colliding Processes.” arXiv:1510.08248 [math-Ph], October 28, 2015. http://arxiv.org/abs/1510.08248. | ||
* Cook II, David, and Uwe Nagel. ‘Signed Lozenge Tilings’. arXiv:1507.02507 [math], 6 July 2015. http://arxiv.org/abs/1507.02507. | * 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. | * 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. | ||
| 12번째 줄: | 20번째 줄: | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:dimer model]] | [[분류:dimer model]] | ||
| + | [[분류:migrate]] | ||
2020년 11월 12일 (목) 03:53 기준 최신판
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
- http://www.h-k.fr/seb/these/articles/generation_fin_JDA04_Seb.pdf
- rhombus tilings of an abc-hexagon
- http://www.flickr.com/photos/syngola/sets/72157603497791228/
- http://www.citycarshare.org/
- http://icerm.brown.edu/
articles
- Laura Escobar, Alexander Yong, Rhombic tilings and Bott-Samelson varieties, arXiv:1605.05613 [math.CO], May 18 2016, http://arxiv.org/abs/1605.05613
- Vadim Gorin, Bulk universality for random lozenge tilings near straight boundaries and for tensor products, http://arxiv.org/abs/1603.02707v1
- Vadim Gorin, Bulk universality for random lozenge tilings near straight boundaries and for tensor products, http://arxiv.org/abs/1603.02707v1
- Duits, Maurice. “On Global Fluctuations for Non-Colliding Processes.” arXiv:1510.08248 [math-Ph], October 28, 2015. http://arxiv.org/abs/1510.08248.
- 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.