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Seminar

Logarithm laws on the almost sure spiraling of geodesics March 16, 2026 (11:10 AM PDT - 12:10 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Harrison Bray (George Mason University)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Logarithm laws on the almost sure spiraling of geodesics

Abstract/Media

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I will present two logarithm laws describing the spiraling of geodesics around certain subsets N of a quotient space M. Two cases of interest are: 1) when the universal cover of M is \delta-hyperbolic and N is a cusp, and 2) when M is a rank one locally CAT(0) space and N is the compact quotient of a convex subset. Case 1) includes certain higher rank applications arising from Hilbert geometry. Although Case 2) does not, I will discuss briefly natural opportunities to explore this question in higher rank.

This talk is based on joint works with Giulio Tiozzo and Andrew Zimmer.

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Logarithm laws on the almost sure spiraling of geodesics