"Domino tiling"의 두 판 사이의 차이

수학노트
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1번째 줄: 1번째 줄:
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<h5>introduction</h5>
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==introduction==
  
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Aztec diamond random
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<h5>Airy kernel</h5>
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==domino tilings of the Aztec diamond==
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* tilings with boundary conditions
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* [[Aztec diamond]]
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* arctic circle phenomenon
  
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* [[random matrix]]
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* [[random processes]]
 
  
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==amoeba==
  
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<h5>problem</h5>
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* [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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http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx
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http://domino.research.ibm.com/Comm/wwwr_ponder.nsf/challenges/June2006.html
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==Airy kernel==
  
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<h5>history</h5>
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* [[random matrix]]
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* [[random processes]]
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
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<h5>related items</h5>
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* [[non-intersecting paths]]
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==character identities==
  
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* http://www.springerlink.com/content/k6350823632p86v2/
  
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
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* http://en.wikipedia.org/wiki/Aztec_diamond
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* http://en.wikipedia.org/wiki/
 
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* http://www.scholarpedia.org/
 
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* http://www.proofwiki.org/wiki/
 
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
  
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==introductory problems==
  
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* http://2000clicks.com/mathhelp/PuzzleDominoTilingAnswer.aspx
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* http://domino.research.ibm.com/Comm/wwwr_ponder.nsf/challenges/June2006.html
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* http://gurmeet.net/puzzles/tiling-with-calissons/
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* Fibonacci numbers and 2xn rectangle domino tiling
  
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<h5>books</h5>
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* [[2010년 books and articles]]<br>
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==history==
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* http://gigapedia.info/1/
 
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* http://gigapedia.info/1/
 
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
  
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
  
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<h5>expositions</h5>
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* [http://www.ams.org/programs/students/wwtbam/arl2009 ]http://www.ams.org/programs/students/wwtbam/arl2009
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==related items==
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* [http://www.lif.univ-mrs.fr/%7Efernique/info/slides_csr.pdf Planar Dimer Tilings]<br>
 
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*  
 
  
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* [[non-intersecting paths]]
  
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5>
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==computational resource==
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* https://docs.google.com/file/d/0B8XXo8Tve1cxZ0ZGelRKUmhaX0U/edit
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* http://mathworld.wolfram.com/DominoTiling.html
  
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* [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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* http://www.ams.org/mathscinet
 
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* http://www.zentralblatt-math.org/zmath/en/
 
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* http://arxiv.org/
 
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* http://www.pdf-search.org/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
 
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* http://dx.doi.org/10.1023/A:1022420103267
 
  
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==encyclopedia==
  
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* http://en.wikipedia.org/wiki/Aztec_diamond
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<h5>question and answers(Math Overflow)</h5>
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
  
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<h5>blogs</h5>
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==books==
  
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* 구글 블로그 검색<br>
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* Winkler, Peter. 2003. <em>Mathematical Puzzles: A Connoisseur’s Collection</em>. A K Peters/CRC Press, 12월 26.
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**  http://blogsearch.google.com/blogsearch?q=<br>
 
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** http://blogsearch.google.com/blogsearch?q=
 
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* http://ncatlab.org/nlab/show/HomePage
 
  
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<h5>experts on the field</h5>
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==expositions==
  
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* http://arxiv.org/
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* http://ocw.mit.edu/courses/mathematics/18-312-algebraic-combinatorics-spring-2009/readings-and-lecture-notes/MIT18_312S09_Lecture32-36.pdf Musiker
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* [http://www.math.brown.edu/%7Eschhita/Nonmathpresent.pdf Cool Pictures in Probability] , Sunil Chhita, September 18, 2008
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* David, Guy, 와/과Carlos Tomei. 1989. “The Problem of the Calissons”. <em>The American Mathematical Monthly</em> 96 (5) (5월 1): 429-431. doi:10.2307/2325150.
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* [http://www.math.harvard.edu/%7Epropp/192/topics.html Math 192 lectures, topic by topic], J. Propp
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* [http://algo.inria.fr/pf60/program_files/Baryshnikov.pdf arctic phenomena in diamonds, groves and fortresses, or generating functions at work] ,2008
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* http://www.ams.org/programs/students/wwtbam/arl2009
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* [http://www.lif.univ-mrs.fr/%7Efernique/info/slides_csr.pdf Planar Dimer Tilings]
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* [http://www-math.mit.edu/%7Erstan/transparencies/tilings3.pdf Plane Tilings]  Richard P. Stanley
  
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==articles==
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* Tom Oakes, Juan P. Garrahan, Stephen Powell, Emergence of cooperative dynamics in fully packed classical dimers, http://arxiv.org/abs/1509.08476v3
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* 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].
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* 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.
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* 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].
  
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<h5>links</h5>
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[[분류:integrable systems]]
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[[분류:math and physics]]
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[[분류:dimer model]]
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[[분류:migrate]]
  
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
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==메타데이터==
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
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===위키데이터===
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
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* ID :  [https://www.wikidata.org/wiki/Q21042776 Q21042776]
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* http://functions.wolfram.com/
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===Spacy 패턴 목록===
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* [{'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



history



related items


computational resource


encyclopedia



books

  • Winkler, Peter. 2003. Mathematical Puzzles: A Connoisseur’s Collection. A K Peters/CRC Press, 12월 26.



expositions


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

Spacy 패턴 목록

  • [{'LOWER': 'domino'}, {'LEMMA': 'tiling'}]
원본 주소 "https://wiki.mathnt.net/index.php?title=Domino_tiling&oldid=51797"