On the ratio ergodic theorem for group actions
نویسندگان
چکیده
منابع مشابه
On the ratio ergodic theorem for group actions
We study the ratio ergodic theorem (RET) of Hopf for group actions. Under a certain technical condition, if a sequence of sets {Fn} in a group satisfy the RET, then there is a finite set E such that {EFn} satisfies the Besicovitch covering property. Consequently for the abelian group G = ⊕n=1Z there is no sequence Fn ⊆ G along which the RET holds, and in many finitely generated groups, includin...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2013
ISSN: 0024-6107
DOI: 10.1112/jlms/jdt022