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imported>Pythagoras0 |
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| 101번째 줄: | 101번째 줄: | ||
==articles== | ==articles== | ||
* Domino tilings of Aztec diamonds and squares | * Domino tilings of Aztec diamonds and squares | ||
| − | * [http://dx.doi.org/10.1023/A:1022420103267 | + | * 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:[http://dx.doi.org/10.1023/A:1022420103267 10.1023/A:1022420103267]. |
[[분류:integrable systems]] | [[분류:integrable systems]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:dimer model]] | [[분류:dimer model]] | ||
2014년 10월 21일 (화) 18:54 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
- Domino tilings of Aztec diamonds and squares
- 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.