6533b7d5fe1ef96bd1264f47

RESEARCH PRODUCT

Equidistribution of Common Perpendicular Arcs

Anne Broise-alamichelFrédéric PaulinJouni Parkkonen

subject

CombinatoricsTerminal (electronics)Covering spaceMetric (mathematics)Regular polygonPerpendicularMathematics::Differential GeometryMathematics

description

In this chapter, we prove the equidistribution of the initial and terminal vectors of common perpendiculars of convex subsets, at the universal covering space level, for Riemannian manifolds and for metric and simplicial trees.

https://doi.org/10.1007/978-3-030-18315-8_11