Masaq Index
arXiv 2016-01-16 0 views

Disjointness between bounded rank-one transformations

Gao, Su · Hill, Aaron

Original · EN

In this paper some sufficient conditions are given for when two bounded rank-one transformations are isomorphic or disjoint. For commensurate, canonically bounded rank-one transformations, isomorphism and disjointness are completely determined by simple conditions in terms of their cutting and spacer parameters. We also obtain sufficient conditions for bounded rank-one transformations to have minimal self-joinings. As an application, we give a proof of Ryzhikov's theorem that totally ergodic, non-rigid, bounded rank-one transformations have minimal self-joinings of all orders.

English translation

This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.

Security check

Type the characters above

Up to 10 translations per person per day.