Distribution of intersection lengths of a random geodesic with a geodesic lamination
classification
🧮 math.GT
math.DS
keywords
distributiongeodesiclaminationlengthsrandomcaseexplicitformula
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We investigate the distribution of lengths obtained by intersecting a random geodesic with a geodesic lamination. We give an explicit formula for the distribution for the case of a maximal lamination and show that the distribution is independent of the surface and lamination. We also show how the moments of the distribution are related to the Riemann zeta function.
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