ON THE ZERO-ONE LAWS FOR THE ERGODIC QUASI-INVARIANT MEASURES
Citation：
Yang Yali.ON THE ZERO-ONE LAWS FOR THE ERGODIC QUASI-INVARIANT MEASURES[J].Chinese Annals of Mathematics B,1983,4(2):145~152
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Authors：
Yang Yali;
Abstract：
Many zero-one laws for the quasi-additive functional and quasi-additive operator are proved. The results may be especially applied to the abstract Wiener measure space. As an application, we give a generalization of a remarkable result of the $\[\sigma \]$-additivity of a Gaussian cylinder probability due to L. Gross.
