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arxiv: 1811.07063 · v1 · pith:6YHQDI5Jnew · submitted 2018-11-16 · 🧮 math.DS · math.CV· math.GT

Extreme points in limit sets

classification 🧮 math.DS math.CVmath.GT
keywords pointslimitaffineboundarycharacterizeconvexdilationsextreme
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Given an iterated function system of affine dilations with fixed points the vertices of a regular polygon, we characterize which points in the limit set lie on the boundary of its convex hull.

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