Teichmüller dynamics and unique ergodicity via currents and Hodge theory
Abstract We present a cohomological proof that recurrence of suitable Teichmüller geodesics impliesunique ergodicity of their terminal foliations.This approach also yields concrete estimates for periodic foliations andnew results for polygonal billiards.
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- Award ID(s):
- 1903764
- NSF-PAR ID:
- 10220154
- Date Published:
- Journal Name:
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Volume:
- 2020
- Issue:
- 768
- ISSN:
- 0075-4102
- Page Range / eLocation ID:
- 39 to 54
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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