# Aleksandra Dimitrijevic Blagojevic

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A k-fan in the plane is a point x ∈ R 2 and k halflines starting from x. There are k angular sectors σ 1 ,. .. , σ k between consecutive halflines. The k-fan is convex if every sector is convex. A (nice) probability measure μ is equipartitioned by the k-fan if μ(σ i) = 1/k for every sector. One of our results: Given a nice probability measure μ and a… (More)

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