Furstenberg entropy realizations for virtually free groups and lamplighter groups
نویسندگان
چکیده
منابع مشابه
Furstenberg Entropy Realizations for Virtually Free Groups and Lamplighter Groups
Let (G, μ) be a discrete group with a generating probability measure. Nevo shows that if G has property (T) then there exists an ε > 0 such that the Furstenberg entropy of any (G, μ)-stationary space is either zero or larger than ε. Virtually free groups, such as SL2(Z), do not have property (T). For these groups, we construct stationary actions with arbitrarily small, positive entropy. This co...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2015
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-015-0016-2