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Rigidity of infinite (circle) packings
Author(s):
Oded
Schramm
Journal:
J. Amer. Math. Soc.
4
(1991),
127-149.
MSC:
Primary 52C15;
Secondary 30C65
MathSciNet review:
1076089
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Additional information
References:
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- [An1]
- E. M. Andreev, On convex polyhedra in Lobačevskií spaces, Mat. Sb. (N.S.) 81 (1970), 445-478; English transl. in Math. USSR Sb. 10 (1970), 413-440. MR 0259734 (41:4367)
- [An2]
- -, On convex polyhedra of finite volume in Lobačevskií space, Mat. Sb. (N.S.) 83 (1970), 256-260; English transl. in Math. USSR Sb. 12 (1970), 255-259. MR 0273510 (42:8388)
- [BFP]
- I. Bárány, Z. Füredi, and J. Pach, Discrete convex functions and proof of the six circle conjecture of Fejes Tóth, Canad. J. Math. 36-3 (1984), 569-576. MR 752985 (85k:52009)
- [CR]
- I. Carter and B. Rodin, An inverse problem for circle packing and conformal mapping, preprint. MR 1081937 (93b:52019)
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- B. Rodin, Schwartz's lemma for circle packings, Invent. Math. 89 (1987), 271-289. MR 894380 (88h:11043)
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- [Sch1]
- O. Schramm, Packing two-dimensional bodies with prescribed combinatorics and applications to the construction of conformal and quasiconformal mappings, Ph.D. thesis, Princeton, 1990.
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- -, Uniqueness and existence of packings with specified combinatorics, Israel J. Math. (to appear).
- [Ste]
- K. Stephenson, Circle packings in the approximation of conformal mappings, Bull. Amer. Math. Soc. 23 (1990), 407-415. MR 1049434 (92c:30009)
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- W. P. Thurston, The geometry and topology of
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- -, The finite Riemann mapping theorem, invited talk at the International Symposium in Celebration of the Proof of the Bieberbach Conjecture, Purdue University, March 1985.
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Additional Information:
DOI:
10.1090/S0894-0347-1991-1076089-9
PII:
S0894-0347-1991-1076089-9
Copyright of article:
Copyright
1991,
American Mathematical Society
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