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==articles== | ==articles== | ||
| + | * Tom Oakes, Juan P. Garrahan, Stephen Powell, Emergence of cooperative dynamics in fully packed classical dimers, http://arxiv.org/abs/1509.08476v3 | ||
* Kokhas, K. P. ‘Domino Tilings of Aztec Diamonds and Squares’. Journal of Mathematical Sciences 158, no. 6 (1 May 2009): 868–94. doi:[http://dx.doi.org/10.1007/s10958-009-9421-3 10.1007/s10958-009-9421-3]. | * Kokhas, K. P. ‘Domino Tilings of Aztec Diamonds and Squares’. Journal of Mathematical Sciences 158, no. 6 (1 May 2009): 868–94. doi:[http://dx.doi.org/10.1007/s10958-009-9421-3 10.1007/s10958-009-9421-3]. | ||
* Elkies, Noam, Greg Kuperberg, Michael Larsen, and James Propp. ‘Alternating-Sign Matrices and Domino Tilings (Part II)’. Journal of Algebraic Combinatorics 1, no. 3 (1 November 1992): 219–34. doi:10.1023/A:1022483817303. | * Elkies, Noam, Greg Kuperberg, Michael Larsen, and James Propp. ‘Alternating-Sign Matrices and Domino Tilings (Part II)’. Journal of Algebraic Combinatorics 1, no. 3 (1 November 1992): 219–34. doi:10.1023/A:1022483817303. | ||
2016년 3월 10일 (목) 23:57 판
introduction
domino tilings of the Aztec diamond
- tilings with boundary conditions
- Aztec diamond
- arctic circle phenomenon
amoeba
Airy kernel
character identities
introductory problems
- http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx
- http://domino.research.ibm.com/Comm/wwwr_ponder.nsf/challenges/June2006.html
- http://gurmeet.net/puzzles/tiling-with-calissons/
- Fibonacci numbers and 2xn rectangle domino tiling
history
computational resource
- https://docs.google.com/file/d/0B8XXo8Tve1cxZ0ZGelRKUmhaX0U/edit
- http://mathworld.wolfram.com/DominoTiling.html
encyclopedia
books
- Winkler, Peter. 2003. Mathematical Puzzles: A Connoisseur’s Collection. A K Peters/CRC Press, 12월 26.
expositions
- http://ocw.mit.edu/courses/mathematics/18-312-algebraic-combinatorics-spring-2009/readings-and-lecture-notes/MIT18_312S09_Lecture32-36.pdf Musiker
- Cool Pictures in Probability , Sunil Chhita, September 18, 2008
- David, Guy, 와/과Carlos Tomei. 1989. “The Problem of the Calissons”. The American Mathematical Monthly 96 (5) (5월 1): 429-431. doi:10.2307/2325150.
- Math 192 lectures, topic by topic, J. Propp
- arctic phenomena in diamonds, groves and fortresses, or generating functions at work ,2008
- http://www.ams.org/programs/students/wwtbam/arl2009
- Planar Dimer Tilings
- Plane Tilings Richard P. Stanley
articles
- Tom Oakes, Juan P. Garrahan, Stephen Powell, Emergence of cooperative dynamics in fully packed classical dimers, http://arxiv.org/abs/1509.08476v3
- Kokhas, K. P. ‘Domino Tilings of Aztec Diamonds and Squares’. Journal of Mathematical Sciences 158, no. 6 (1 May 2009): 868–94. doi:10.1007/s10958-009-9421-3.
- Elkies, Noam, Greg Kuperberg, Michael Larsen, and James Propp. ‘Alternating-Sign Matrices and Domino Tilings (Part II)’. Journal of Algebraic Combinatorics 1, no. 3 (1 November 1992): 219–34. doi:10.1023/A:1022483817303.
- Elkies, Noam, Greg Kuperberg, Michael Larsen, and James Propp. ‘Alternating-Sign Matrices and Domino Tilings (Part I)’. Journal of Algebraic Combinatorics 1, no. 2 (1 September 1992): 111–32. doi:10.1023/A:1022420103267.