Rhombic embeddings of planar quad-graphs

Transactions of the American Mathematical Society

Volumn 357, Issue 9, 2005, Pages 3443-3458

  Kenyon, Richard ^a   Schlenker, Jean Marc ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25144459984     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-04-03545-7     Document Type: Article

References (6)

1. R. J. Duffin, Potential theory on a rhombic lattice. J. Combinatorial Theory 5 (1968) 258-272. MR 38:331
2. Udo Hertrich-Jeromin, Introduction to Möbius Differential Geometry, volume 300 of London Mathematical Society Lecture Note Series. London Mathematical Society, Cambridge, 2003.
3. R. Kenyon, The Laplacian and Dirac operators on critical planar graphs Invent. Math. 150 (2002), 409-439.
4. R. Kenyon, An introduction to the dimer model, Lecture notes of the ICTP, to appear.
5. C. Mercat, Discrete Riemann surfaces and the Ising model, Comm. Math. Phys. 218 (2001), 177-216. MR 2002c:82019
6. C. Mercat, Holomorphie discrète et modèle d'Ising, Ph.D. thesis, Université Louis Pasteur, Strasbourg, France, 1998. http://www-irma.u-strasbg.fr/irma/publications/1998/98014.shtml