The generalized Boole's transofrmation is ergodic.
Manuscripta mathematica, Tome 25 (1978), pp. 161-168.

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@article{MM2_1978__25_154563,
     author = {Fritz Schweiger and Tien-Yien Li},
     title = {The generalized {Boole's} transofrmation is ergodic.},
     journal = {Manuscripta mathematica},
     pages = {161--168},
     publisher = {mathdoc},
     volume = {25},
     year = {1978},
     zbl = {0389.28009},
     url = {http://geodesic.mathdoc.fr/item/MM2_1978__25_154563/}
}
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Fritz Schweiger; Tien-Yien Li. The generalized Boole's transofrmation is ergodic.. Manuscripta mathematica, Tome 25 (1978), pp. 161-168. http://geodesic.mathdoc.fr/item/MM2_1978__25_154563/