On the almost sure spiraling of geodesics in CAT(0) spaces

Harrison Bray; Andrew Zimmer

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arXiv · 2509.10944

On the almost sure spiraling of geodesics in CAT(0) spaces

Harrison Bray·Andrew Zimmer

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Abstract

We prove a logarithm law-type result for the spiraling of geodesics around certain types of compact subsets (e.g. quotients of periodic Morse flats) in quotients of rank one CAT(0) spaces.

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Harrison Bray, Andrew Zimmer. 2025-09-13. On the almost sure spiraling of geodesics in CAT(0) spaces. https://arxiv.org/abs/2509.10944

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