Gadre, V. and Maher, J. (2018) The stratum of random mapping classes. Ergodic Theory and Dynamical Systems, 38(7), pp. 2666-2682. (doi: 10.1017/etds.2016.132)
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Abstract
We consider random walks on the mapping class group that have finite first moment with respect to the word metric, whose support generates a non-elementary subgroup and contains a pseudo-Anosov map whose invariant Teichmuller geodesic is in the principal stratum. For such random walks, we show that mapping classes along almost every infinite sample path are eventually pseudo-Anosov, with invariant Teichmuller geodesics in the principal stratum. This provides an answer to a question of Kapovich-Pfaff.
Item Type: | Articles |
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Additional Information: | The first author acknowledges support from the GEAR Network (U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 ‘RNMS: GEometric structures And Representation varieties’). The second author acknowledges support from the Simons Foundation and PSC-CUNY. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Gadre, Dr Vaibhav |
Authors: | Gadre, V., and Maher, J. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Ergodic Theory and Dynamical Systems |
Publisher: | Cambridge University Press |
ISSN: | 0143-3857 |
ISSN (Online): | 1469-4417 |
Published Online: | 02 May 2017 |
Copyright Holders: | Copyright © 2017 Cambridge University Press |
First Published: | First published in Ergodic Theory and Dynamical Systems 38(7):2666-2682 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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