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imported>Pythagoras0 |
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| − | + | ==introduction== | |
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| − | + | ==domino tilings of the Aztec diamond== | |
* tilings with boundary conditions | * tilings with boundary conditions | ||
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* arctic circle phenomenon | * arctic circle phenomenon | ||
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| − | + | ==amoeba== | |
* [http://www.cs.auckland.ac.nz/%7Emcw/Research/mvGF/asymultseq/Pema2010.pdf http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/Pema2010.pdf] | * [http://www.cs.auckland.ac.nz/%7Emcw/Research/mvGF/asymultseq/Pema2010.pdf http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/Pema2010.pdf] | ||
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| − | + | ==Airy kernel== | |
* [[random matrix]] | * [[random matrix]] | ||
* [[random processes]] | * [[random processes]] | ||
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| − | + | ==character identities== | |
* http://www.springerlink.com/content/k6350823632p86v2/ | * http://www.springerlink.com/content/k6350823632p86v2/ | ||
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| − | + | ==introductory problems== | |
* http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx | * http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx | ||
| 52번째 줄: | 52번째 줄: | ||
* Fibonacci numbers and 2xn rectangle domino tiling | * Fibonacci numbers and 2xn rectangle domino tiling | ||
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| − | + | ==history== | |
* http://www.google.com/search?hl=en&tbs=tl:1&q= | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
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| − | + | ==related items== | |
* [[non-intersecting paths]] | * [[non-intersecting paths]] | ||
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| − | + | ==encyclopedia== | |
* http://en.wikipedia.org/wiki/Aztec_diamond | * http://en.wikipedia.org/wiki/Aztec_diamond | ||
| 80번째 줄: | 80번째 줄: | ||
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]]) | * Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]]) | ||
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| − | + | ==books== | |
* 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. | ||
| 92번째 줄: | 92번째 줄: | ||
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | * http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | ||
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| − | + | ==expositions== | |
* http://ocw.mit.edu/courses/mathematics/18-312-algebraic-combinatorics-spring-2009/readings-and-lecture-notes/MIT18_312S09_Lecture32-36.pdf Musiker | * http://ocw.mit.edu/courses/mathematics/18-312-algebraic-combinatorics-spring-2009/readings-and-lecture-notes/MIT18_312S09_Lecture32-36.pdf Musiker | ||
| 105번째 줄: | 105번째 줄: | ||
* http://www.ams.org/programs/students/wwtbam/arl2009 | * http://www.ams.org/programs/students/wwtbam/arl2009 | ||
* [http://www.lif.univ-mrs.fr/%7Efernique/info/slides_csr.pdf Planar Dimer Tilings] | * [http://www.lif.univ-mrs.fr/%7Efernique/info/slides_csr.pdf Planar Dimer Tilings] | ||
| − | * [http://www-math.mit.edu/%7Erstan/transparencies/tilings3.pdf Plane Tilings] | + | * [http://www-math.mit.edu/%7Erstan/transparencies/tilings3.pdf Plane Tilings] Richard P. Stanley |
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| − | + | ==articles== | |
| − | * Domino tilings of Aztec diamonds and squares<br> | + | * Domino tilings of Aztec diamonds and squares<br> <br>[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> |
* http://www.ams.org/mathscinet | * http://www.ams.org/mathscinet | ||
* http://www.zentralblatt-math.org/zmath/en/ | * http://www.zentralblatt-math.org/zmath/en/ | ||
2012년 10월 27일 (토) 13:44 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
encyclopedia
- http://en.wikipedia.org/wiki/Aztec_diamond
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- Winkler, Peter. 2003. Mathematical Puzzles: A Connoisseur’s Collection. A K Peters/CRC Press, 12월 26.
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
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 - http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/10.1023/A:1022420103267