References
- Agafonov S I Imbedded circle patterns with the combinatorics of the square grid and discrete Painlev equations, Discrete Comput. Geom., 29 (2003), no. 2, 305–319
- Agafonov S I Bobenko A I Discrete Zγ and Painlevé equations, Internat. Math. Res. Notices, 4 (2000), 165–193
- Agafonov S I Bobenko A I Hexagonal circle patterns with constant intersection angles and discrete Painlev and Riccati equations. Integrability, topological solitons and beyond, J. Math. Phys. 44 (2003), no. 8, 3455–3469
- Bobenko A I, Surfaces made from circles, Eurographics/ACM SIGGRAPH Symposium “Geometry Processing”, Nice 2004. (www-version http://www.math.tu-berlin.de/bobenko/visualization.html)
- Bobenko A I Hoffman T Conformally symmetric circle packings: A generalization of Doyle spirals, Experimental Math., 10:1 (2001), 141–150
- Bobenko A I Hoffmann T Springborn B.A. Minimal surfaces from circle patterns: Geometry from combinatorics, arXiv:math.DG/0305184
- Bobenko A I Hoffman T Suris Yu B Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice, Internat. Math. Res. Notices, 3 (2002), 111–164
- Bobenko A I Hoffman T Hexagonal circle patterns and integrable systems: patterns with constant angles, Duke Math. J. 116 (2003), no. 3, 525–566
- Bobenko A I Mercat Ch Suris Yu B Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green function, arXiv:math.DG/0402097
- Bobenko A Pinkall U Discrete isothermic surfaces, J. reine angew. Math. 475 (1996), 187–208
- Bobenko A Pinkall U Discretization of surfaces and integrable systems, in Discrete Integrable Geometry and Physics, Editors: Bobenko A I and Seiler R, Oxford University Press, 1999, 3–58
- Callahan K Rodin B Circle packing immersions form regularly exhaustible surfaces, Complex Variables, 21 (1993), 171–177
- Dubejko T Stephenson K Circle packings: Experiments in discrete analytic function theory, Experimental Math. 4:4, (1995), 307–348
- Fokas A S Its A R Kitaev A V Discrete Painlevé equations and their appearance in quantum gravity, Commun. Math. Phys. 142 (1991), 313–344
- He Z-X Schramm O The C∞ convergence of hexagonal disc packings to the Riemann map, Acta. Math. 180 (1998), 219–245
- He Z-X Rigidity of infinite disk patterns. Annals of Mathematics 149 (1999), 1–33
- Its A R Novokshenov V Y The isomonodromic deformation method in the theory of Painlevé equations, Lect. Notes Math. 1191, Springer, Berlin, 1986
- Kenyon R The Laplacian and Dirac operators on critical planar graphs, Invent. Math. 150 (2002), 409–439
- Marden A Rodin B On Thurston’s formulation and proof of Andreev’s theorem. Lect. Notes Math. 1435 (1990), 103–115
- Nijhoff F On some “Schwarzian” equations and their discrete analogues, in Algebraic aspects of integrable systems, In memory of Irene Dorfman, Editors. Fokas A S and Gelfand I M, Birkhäuser, 1997, 237–260
- Rivin I On geometry of convex ideal polyhedra in hyperbolic 3-space, Topology 32 (1993), 87–92
- Rodin B Sullivan D The convergence of circle packings to Riemann mapping, J. Diff. Geometry 26 (1987), 349–360
- Sullivan D On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference, (1978), Ann. Math. Stud. 97, Princeton University Press, Princeton, N.J., (1981), 465–496
- Schramm O Circle patterns with the combinatorics of the square grid. Duke Math. J. 86 (1997), 347–389
- Schramm O, www-home page, Circle packings and conformal geometry, a survey of selected topics. http://www.math.weizmann.ac.il/∼schramm/talks/
- Thurston W P The finite Riemann mapping theorem. Invited address, International Symposium in Celebration of the Proof of the Bieberbach Conjecture, Purdue University (1985)