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.
|Number of pages||7|
|State||Published - 1 Jan 2008|
- Measure preserving transformation
- Wandering set
ASJC Scopus subject areas
- Mathematics (all)