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- W2000410176 abstract "Thurston conjectured that the Riemann mapping function from a simply connected region onto the unit disk can be approximated by regular hexagonal packings. Schramm introduced circle patterns with combinatorics of the square grid (SG) and showed that SG circle patterns converge to meromorphic functions. He and Schramm proved that hexagonal disk packings converge in C∞ to the Riemann mapping. In this paper we show a similar C∞-convergence for SG circle patterns." @default.
- W2000410176 created "2016-06-24" @default.
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- W2000410176 date "2007-08-01" @default.
- W2000410176 modified "2023-09-24" @default.
- W2000410176 title "The <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mi>C</mml:mi><mml:mo>∞</mml:mo></mml:msup></mml:math>-convergence of SG circle patterns to the Riemann mapping" @default.
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- W2000410176 doi "https://doi.org/10.1016/j.jmaa.2006.11.027" @default.
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