Abstract
We prove that for a generic measure-preserving transformation T, the closed group generated by T is a continuous homomorphic image of a closed linear subspace of L0(λ R}, where λ is the Lebesgue measure, and that the closed group generated by T contains an increasing sequence of finite-dimensional tori whose union is dense.
Original language | English (US) |
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Pages (from-to) | 1011-1017 |
Number of pages | 7 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 34 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2014 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics