On computational complexity of Riemann mapping

Ilia A. Binder, Mark Braverman, Michael Yampolsky · arXiv (Cornell University) · 2005

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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