Gadre, V. and Matheus, C. (2022) Cusp excursions of random geodesics in Weil-Petersson type metrics. Journal of Differential Geometry, 121(1), pp. 31-55. (doi: 10.4310/jdg/1656005495)
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Abstract
We analyse cusp excursions of random geodesics for Weil--Petersson type incomplete metrics on orientable surfaces of finite type: in particular, we give bounds for maximal excursions. We also give similar bounds for cusp excursions of random Weil--Petersson geodesics on non-exceptional moduli spaces of Riemann surfaces conditional on the assumption that the Weil--Petersson flow is polynomially mixing. Moreover, we explain how our methods can be adapted to understand almost greasing collisions of typical trajectories in certain slowly mixing billiards.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Gadre, Dr Vaibhav |
Authors: | Gadre, V., and Matheus, C. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Differential Geometry |
Publisher: | International Press |
ISSN: | 0022-040X |
ISSN (Online): | 1945-743X |
Published Online: | 24 June 2022 |
Copyright Holders: | Copyright © 2022 The Authors |
First Published: | First published in Journal of Differential Geometry 121(1):31-55 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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