Convex Shapes and Harmonic Caps
نویسنده
چکیده
Any planar shape P ⊂ C can be embedded isometrically as part of the boundary surface S of a convex subset of R such that ∂P supports the positive curvature of S. The complement Q = S \P is the associated cap. We study the cap construction when the curvature is harmonic measure on the boundary of (Ĉ\P,∞). Of particular interest is the case when P is a filled polynomial Julia set and the curvature is proportional to the measure of maximal entropy.
منابع مشابه
Convex Shapes and Planar Caps
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تاریخ انتشار 2016