Domino tiling

domino tilings of the Aztec diamond

• tilings with boundary conditions
• Aztec diamond
• arctic circle phenomenon

amoeba

• http://www.cs.auckland.ac.nz/~mcw/Research/mvGF/asymultseq/Pema2010.pdf

Airy kernel

• random matrix
• random processes

character identities

• http://www.springerlink.com/content/k6350823632p86v2/

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

• http://www.google.com/search?hl=en&tbs=tl:1&q=

related items

• 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

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 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.