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Article overview
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Disjointness between bounded rank-one transformations | Su Gao
; Aaron Hill
; | Date: |
16 Jan 2016 | Abstract: | 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. | Source: | arXiv, 1601.4119 | Services: | Forum | Review | PDF | Favorites |
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