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math.DG2026
Geodesic Lévy flights on Zoll surfaces
Yann Chaubet, Emanuel József Godfried, Leo Tzou
We study the mean first capture time of isotropic Lévy flights on Zoll surfaces, namely the expected time for a geodesic Lévy process to reach a shrinking geodesic ball. While th…
math.DG2024
Poincaré series for surfaces with boundary
Yann Chaubet
We show that the Poincaré series counting orthogeodesics of a negatively curved surface with totally geodesic boundary extends meromorphically to the whole complex plane, as well…