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Ergodicity and conservativity of products of infinite transformations and their inverses

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Clancy J., Friedberg R., Kasmalkar I., Loh I., Pădurariu T., Silva C., Vasudevan S.

Colloquium Mathematicum

2016

tom 143

nr 2

271-291

We construct a class of rank-one infinite measure-preserving transformations such that for each transformation T in the class, the cartesian product T × T is ergodic, but the product $T × T^{-1}$ is not. We also prove that the product of any rank-one transformation with its inverse is conservative, while there are infinite measure-preserving conservative ergodic Markov shifts whose product with their inverse is not conservative.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Clancy J.

1 Friedberg R.

1 Kasmalkar I.

1 Loh I.

1 Pădurariu T.

1 Silva C.

1 Vasudevan S.

1 2016

Wyniki wyszukiwania

Ergodicity and conservativity of products of infinite transformations and their inverses