Math 2.0

Functions of a complex variable Concept

Conformal radius

Summary

The conformal radius of a simply connected domain at a point measures the size of the domain as seen from that point. It is the factor by which the Riemann map from the unit disc stretches lengths at the centre. It is comparable to the distance to the boundary, up to a factor 44. It also appears as the constant term of the Green's function at its pole.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Conformal_radius
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