The stratum of random mapping classes
2017 ◽
Vol 38
(7)
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pp. 2666-2682
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Keyword(s):
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 Teichmüller 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 Teichmüller geodesics in the principal stratum. This provides an answer to a question of Kapovich and Pfaff [Internat. J. Algebra Comput.25, 2015 (5) 745–798].
2019 ◽
Vol 169
(2)
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pp. 299-305
Keyword(s):
2011 ◽
Vol 156
(3)
◽
pp. 429-468
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2014 ◽
Vol 07
(01)
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pp. 1-21
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Keyword(s):
1995 ◽
Vol 67
(1)
◽
pp. 117-164
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Keyword(s):
2018 ◽
Vol 27
(06)
◽
pp. 1850043
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Keyword(s):