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arXiv · 1810.00765

Bisectors and pinned distances

Ben Lund·Giorgis Petridis
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Abstract

We prove, under suitable conditions, a lower bound on the number of pinned distances determined by small subsets of two-dimensional vector spaces over fields. For finite subsets of the Euclidean plane we prove an upper bound for their bisector energy.

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Ben Lund, Giorgis Petridis. 2018-10-01. Bisectors and pinned distances. https://doi.org/10.1007/s00454-019-00122-w

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