Author:
Berend Daniel,Bergelson Vitaly
Abstract
AbstractThe notions of ergodicity, strong mixing and weak mixing are defined and studied for arbitrary sequences of measure-preserving transformations of a probability space. Several results, notably ones connected with mean ergodic theorems, are generalized from the case of the sequence of all powers of a single transformation to this case. The conditions for ergodicity, strong mixing and weak mixing of sequences of affine transformations of compact groups are investigated.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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