Abstract
We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
Original language | English |
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Pages (from-to) | 193-199 |
Number of pages | 7 |
Journal | Colloquium Mathematicum |
Volume | 110 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2008 |
Externally published | Yes |
Keywords
- Dissipative
- Ergodic
- Exact
- Measure preserving transformation
- Wandering set
ASJC Scopus subject areas
- Mathematics (all)