A****y 发帖数: 2467 | | A****y 发帖数: 2467 | | z***c 发帖数: 102 | 3 this may work: let T: X \to X be such that T is invariant, T^2 is ergodic
with respect to measure m. Let S:{0,1}*X \to {0,1}*X be defined as S(0,x)=(1
,Tx) and S(1,x)=(0,Tx), measure on {0,1}*X is m on (0,X) and (1,X)
respectively. Then S is ergodic, but S^2 is not. |
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