Discrete Riemann Maps and the Parabolicity of Tilings
The classical Riemann Mapping Theorem has many discrete analogues. One of these, the Finite Riemann Mapping Theorem of Cannon, Floyd, Parry,and others, describes finite tilings of quadrilaterals and annuli. It relates to several combinatorial moduli, similar in nature to the classical modulus. Th...
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Virginia Tech
2014
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| Online Access: | http://hdl.handle.net/10919/30512 http://scholar.lib.vt.edu/theses/available/etd-41398-14113/ |