Dimer model

introduction

• gaussian free field

 

 

basic notions

• dimer configurations
• set of dimer configurations
• partition function

 

 

physics motivation

Dimer configuration can be considered as the covering of the graph by pairs of fermions connected by an edge

 

 

 

Temperley equivalence

spanning trees on \gamma rooted at x

Dimers on D(\gamma)

 

 

Domino tiling and height function

bipartite graph

 

 

weight systems

define a weight function on the edges of the graph \gamma

 

 

 

history

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

 

 

related items

• Schramm–Loewner evolution (SLE)
• basic thermodynamics & statistical mechanics

 

 

encyclopedia

• http://en.wikipedia.org/wiki/Domino_tiling
• http://en.wikipedia.org/wiki/Lozenge
• http://en.wikipedia.org/wiki/Gaussian_free_field
• http://en.wikipedia.org/wiki/
• http://www.scholarpedia.org/
• http://www.proofwiki.org/wiki/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

books

 

• 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

• Lozenge Tiling
• pictures
  
  • http://research.microsoft.com/en-us/um/people/cohn/randomtilings.html
• http://members.unine.ch/beatrice.detiliere/Cours/Ecole_Doctorale.pdf
  

 

 

articles

• Dimers, Tilings and Trees
• Conformal invariance of domino tiling
• 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/

 

 

question and answers(Math Overflow)

• http://mathoverflow.net/search?q=dimer
• http://mathoverflow.net/search?q=

 

 

blogs

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=dimer+model
• http://ncatlab.org/nlab/show/HomePage

 

 

experts on the field

• http://arxiv.org/

 

 

links

• http://ipht.cea.fr/statcomb2009/dimers/abstracts.html
• Detexify2 - LaTeX symbol classifier
• 수식표현 안내
• The On-Line Encyclopedia of Integer Sequences
• http://functions.wolfram.com/