Equidistribution of continuous low-lying pairs of horocycles via Ratner's theorem

Claire Burrin

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arXiv · 2408.03348

Equidistribution of continuous low-lying pairs of horocycles via Ratner's theorem

Claire Burrin

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Abstract

We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner's topological rigidity theorem. This approach has the advantage of extending to non-uniform lattices.

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Claire Burrin. 2024-08-05. Equidistribution of continuous low-lying pairs of horocycles via Ratner's theorem. https://arxiv.org/abs/2408.03348

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