Random walks on random coset spaces with applications to Furstenberg entropy

We determine the range of Furstenberg entropy for stationary ergodic actions of nonabelian free groups by an explicit construction involving random walks on random coset spaces.

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Bibliographic Details
Published in:Inventiones mathematicae 2014-05, Vol.196 (2), p.485-510
Main Author: Bowen, Lewis
Format: Article
Language:English
Subjects:
Construction
Entropy
Ergodic processes
Mathematics
Mathematics and Statistics
Random walk
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Description
Summary:We determine the range of Furstenberg entropy for stationary ergodic actions of nonabelian free groups by an explicit construction involving random walks on random coset spaces.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-013-0473-0