"Domino tiling"의 두 판 사이의 차이
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imported>Pythagoras0 |
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==amoeba== | ==amoeba== | ||
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* [[non-intersecting paths]] | * [[non-intersecting paths]] | ||
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| + | ==computational resource== | ||
| + | * https://docs.google.com/file/d/0B8XXo8Tve1cxZ0ZGelRKUmhaX0U/edit | ||
| + | * http://mathworld.wolfram.com/DominoTiling.html | ||
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* http://en.wikipedia.org/wiki/Aztec_diamond | * http://en.wikipedia.org/wiki/Aztec_diamond | ||
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* Winkler, Peter. 2003. <em>Mathematical Puzzles: A Connoisseur’s Collection</em>. A K Peters/CRC Press, 12월 26. | * Winkler, Peter. 2003. <em>Mathematical Puzzles: A Connoisseur’s Collection</em>. A K Peters/CRC Press, 12월 26. | ||
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==articles== | ==articles== | ||
| + | * Domino tilings of Aztec diamonds and squares | ||
| + | * [http://dx.doi.org/10.1023/A:1022420103267 Alternating-Sign Matrices and Domino Tilings (Part I)]Noam Elkies, Greg Kuperberg, Michael Larsen and James Propp<br> | ||
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[[분류:integrable systems]] | [[분류:integrable systems]] | ||
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[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:dimer model]] | [[분류:dimer model]] | ||
2013년 8월 24일 (토) 08:30 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
- Alternating-Sign Matrices and Domino Tilings (Part I)Noam Elkies, Greg Kuperberg, Michael Larsen and James Propp