S. Lalley

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20042023

most citedStatistical regularities of self-intersection counts for geodesics on negatively curved surfaces

9 citations · 56 across the 26 of their papers we have counts for

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math.DS2011★ 9 cited

Statistical regularities of self-intersection counts for geodesics on negatively curved surfaces

Steven P. Lalley

Let $Υ$ be a compact, negatively curved surface. From the (finite) set of all closed geodesics on $Υ$ of length $\leq L$ , choose one, say $γ_{L}$ , at random and let $N (γ_{L})$ be…

math.DS2009★ 1 cited

Self-Intersections of Random Geodesics on Negatively Curved Surfaces

Steven P. Lalley

We study the fluctuations of self-intersection counts of random geodesic segments of length $t$ on a compact, negatively curved surface in the limit of large $t$ . If the initial di…