2ND-ORDER ERGODIC-THEOREMS FOR ERGODIC TRANSFORMATIONS OF INFINITE MEASURE-SPACES

被引:17
作者
AARONSON, J
DENKER, M
FISHER, AM
机构
[1] UNIV GOTTINGEN,INST MATH STOCHAST,W-3400 GOTTINGEN,GERMANY
[2] MEMPHIS STATE UNIV,DEPT MATH SCI,MEMPHIS,TN 38152
关键词
D O I
10.2307/2159790
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For certain pointwise dual ergodic transformations T we prove almost sure convergence of the log-averages [GRAPHICS] and the Chung-Erdos averages [GRAPHICS] towards integral f, where a(n) denotes the return sequence of T.
引用
收藏
页码:115 / 127
页数:13
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