Non-reversibility and self-joinings of higher orders for ergodic flows
| Autor: | Fraczek, K., Kulaga, J., Lemanczyk, M. |
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| Rok vydání: | 2012 |
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| Zdroj: | J. Anal. Math. 122 (2014), 163-227 |
| Druh dokumentu: | Working Paper |
| Popis: | By studying the weak closure of multidimensional off-diagonal self-joinings we provide a criterion for non-isomorphism of a flow with its inverse, hence the non-reversibility of a flow. This is applied to special flows over rigid automorphisms. In particular, we apply the criterion to special flows over irrational rotations, providing a large class of non-reversible flows, including some analytic reparametrizations of linear flows on the two torus, so called von Neumann's flows and some special flows with piecewise polynomial roof functions.. A topological counterpart is also developed with the full solution of the problem of the topological self-similarity of continuous special flows over irrational rotations. This yields examples of continuous special flows over irrational rotations without topological self-similarities and having all non-zero real numbers as scales of measure-theoretic self-similarities. Comment: 49 pages, 2 figure |
| Databáze: | arXiv |
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