The first correction term in the mean first capture time of shrinking geodesic balls by isotropic Lévy flights on Zoll surfaces is determined by the degree of the conjugate point.
and Melrose, Richard B
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Geodesic L\'evy flights on Zoll surfaces
The first correction term in the mean first capture time of shrinking geodesic balls by isotropic Lévy flights on Zoll surfaces is determined by the degree of the conjugate point.