Ergodic theorems and weak mixing for Markov processes
ジャーナル
フリー
1973 年 25 巻 2 号 p. 257-264
詳細
- Published: 1973 Received: 1972/02/09 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) J. R. Blum, A note on mixing transformations, Israel J. Math., 9 (1971), 464-465.
2) A. Brunel and M. Keane, Ergodic theorems for operator sequences, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 12 (1969), 231-240.
3) J. W. England and N. F. G. Martin, On weak mixing metric automorphisms, Bull. Amer. Math. Soc., 74 (1968), 505-507.
4) S. R. Foguel, The ergodic theory of Markov processes, Van Nostrand, New York, 1969.
5) D. L. Hanson and G. Pledger, On the mean ergodic theorem for weighted averages, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 13 (1969), 141-149.
6) U. Krengel and L. Sucheston, On mixing in infinite measure spaces, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 13 (1969), 150-164.
7) M. Lin, Mixing for Markov operators, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 19 (1971), 231-242.
8) R. Sato, On the individual ergodic theorem for subsequences, Studia Math., (to appear).
9) R. Sato, On a decomposition of transformations in infinite measure spaces, Pacific J. Math., (to appear).
10) R. Sato, Abel-ergodic theorems for subsequences, Pacific J. Math., (to appear).
11) K. Yosida, Functional analysis, Springer, Berlin-Göttingen-Heidelberg, 1965.
Right : [1] J. R. Blum, A note on mixing transformations, Israel J. Math., 9 (1971), 464-465.
[2] A. Brunel and M. Keane, Ergodic theorems for operator sequences, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 12 (1969), 231-240.
[3] J. W. England and N. F. G. Martin, On weak mixing metric automorphisms, Bull. Amer. Math. Soc., 74 (1968), 505-507.
[4] S. R. Foguel, The ergodic theory of Markov processes, Van Nostrand, New York, 1969.
[5] D. L. Hanson and G. Pledger, On the mean ergodic theorem for weighted averages, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 13 (1969), 141-149.
[6] U. Krengel and L. Sucheston, On mixing in infinite measure spaces, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 13 (1969), 150-164.
[7] M. Lin, Mixing for Markov operators, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 19 (1971), 231-242.
[8] R. Sato, On the individual ergodic theorem for subsequences, Studia Math., (to appear).
[9] R. Sato, On a decomposition of transformations in infinite measure spaces, Pacific J. Math., (to appear).
[10] R. Sato, Abel-ergodic theorems for subsequences, Pacific J. Math., (to appear).
[11] K. Yosida, Functional analysis, Springer, Berlin-Göttingen-Heidelberg, 1965.
訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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