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Riemann map between two different domains

asked 2018-12-16 11:54:53 -0600

ajd gravatar image

Sage has the RiemannMap functions which allow you to plot the Riemann map from a circle to a domain. Is there a way to compose two of these to plot the Riemann map between two different arbitrary domains?

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answered 2018-12-16 19:16:19 -0600

nbruin gravatar image

If you have two RiemannMap objects A and B, then at least you have easy access to the point-wise map via composing one with the inverse of the other:

BtoA = lambda(z): B.riemann_map(A.inverse_riemann_map(z))

be careful, though: the computation of these maps only seem to have a few digits of precision, so you'll quickly see numerical artifacts.

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Asked: 2018-12-16 11:54:53 -0600

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Last updated: Dec 16 '18