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arxiv: math/0505617 · v2 · submitted 2005-05-27 · 🧮 math.CV · cs.CC

On computational complexity of Riemann mapping

classification 🧮 math.CV cs.CC
keywords boundarycomplexitycomputationalgivenapproximationboundscomputableconsider
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In this paper we consider the computational complexity of uniformizing a domain with a given computable boundary. We give nontrivial upper and lower bounds in two settings: when the approximation of boundary is given either as a list of pixels, or by a Turing Machine.

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