"Dimer model"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | * | + | * Gaussian free field |
| − | * | + | * http://arxiv.org/abs/math/0312099 |
| 28번째 줄: | 28번째 줄: | ||
| − | <h5> | + | <h5>Termperley equivalence</h5> |
spanning trees on \gamma rooted at x | spanning trees on \gamma rooted at x | ||
| 64번째 줄: | 64번째 줄: | ||
| − | <h5>related items</h5> | + | <h5>related items[[Schramm–Loewner evolution (SLE)|]]</h5> |
| + | * [[basic thermodynamics & statistical mechanics|basic thermodynamics & statistical mechanics]] | ||
* [[Schramm–Loewner evolution (SLE)]] | * [[Schramm–Loewner evolution (SLE)]] | ||
| − | |||
2010년 10월 1일 (금) 11:20 판
introduction
- Gaussian free field
- http://arxiv.org/abs/math/0312099
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
Termperley 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
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://members.unine.ch/beatrice.detiliere/Cours/Ecole_Doctorale.pdf
articles
- Dimers, Tilings and Trees
- 2000
- 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/10.1214/aop/1019160260
question and answers(Math Overflow)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field