"Domino tiling"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
Pythagoras0 (토론 | 기여) (→메타데이터) |
|||
| (사용자 3명의 중간 판 25개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
| − | + | ==introduction== | |
| − | + | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | ||
| − | + | ||
| − | + | ==domino tilings of the Aztec diamond== | |
| + | * tilings with boundary conditions | ||
| + | * [[Aztec diamond]] | ||
| + | * arctic circle phenomenon | ||
| − | + | ||
| + | |||
| + | |||
| + | ==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] | ||
| − | + | ||
| − | + | ||
| − | + | ==Airy kernel== | |
* [[random matrix]] | * [[random matrix]] | ||
* [[random processes]] | * [[random processes]] | ||
| − | + | ||
| − | + | ||
| − | + | ||
| − | + | ==character identities== | |
* http://www.springerlink.com/content/k6350823632p86v2/ | * http://www.springerlink.com/content/k6350823632p86v2/ | ||
| − | + | ||
| − | + | ||
| − | + | ==introductory problems== | |
* http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx | * http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx | ||
| 47번째 줄: | 49번째 줄: | ||
* Fibonacci numbers and 2xn rectangle domino tiling | * Fibonacci numbers and 2xn rectangle domino tiling | ||
| − | + | ||
| − | + | ||
| − | + | ==history== | |
* http://www.google.com/search?hl=en&tbs=tl:1&q= | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
| − | + | ||
| − | + | ||
| − | + | ==related items== | |
* [[non-intersecting paths]] | * [[non-intersecting paths]] | ||
| − | |||
| − | + | ==computational resource== | |
| + | * https://docs.google.com/file/d/0B8XXo8Tve1cxZ0ZGelRKUmhaX0U/edit | ||
| + | * http://mathworld.wolfram.com/DominoTiling.html | ||
| − | + | ||
| + | |||
| + | ==encyclopedia== | ||
* http://en.wikipedia.org/wiki/Aztec_diamond | * http://en.wikipedia.org/wiki/Aztec_diamond | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | ||
| − | + | ==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. | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | ||
| − | + | ==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 | ||
| 100번째 줄: | 95번째 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 |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | ||
| − | + | ==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]. | ||
| + | * 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:[http://dx.doi.org/10.1023/A:1022420103267 10.1023/A:1022420103267]. | ||
| − | + | [[분류:integrable systems]] | |
| + | [[분류:math and physics]] | ||
| + | [[분류:dimer model]] | ||
| + | [[분류:migrate]] | ||
| − | * [ | + | ==메타데이터== |
| − | * [ | + | ===위키데이터=== |
| − | + | * ID : [https://www.wikidata.org/wiki/Q21042776 Q21042776] | |
| − | + | ===Spacy 패턴 목록=== | |
| + | * [{'LOWER': 'domino'}, {'LEMMA': 'tiling'}] | ||
2021년 2월 17일 (수) 02:37 기준 최신판
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.
메타데이터
위키데이터
- ID : Q21042776
Spacy 패턴 목록
- [{'LOWER': 'domino'}, {'LEMMA': 'tiling'}]