- Implications among
- unique ergodicity
- entropy zero plus ergodicity
- Simple or semi-simple case
- Which one-parameter subgroups are unstable/stable foliations for some ergodic affine?
- Try a).
- Relate dynamical properties to representations of the group.
- K-property implies Bernoull?
- Weak mixing plus center s.s. implies Bernoulli? [For parts d and e, try nilmanifolds first]
- Ergodic implies there is a unique measure of maximal entropy?