A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Strictly ergodic models for dynamical systems

1985
*
Bulletin of the American Mathematical Society
*

The action of a group G by homeomorphisms of a compact metric space X is said to be strictly ergodic if there is a unique Borel probability measure JJL fixed by the action, and /i(f/) > 0 for every nonempty open set U C X. For commutative groups G (as well as for general amenable groups) this implies that the action is minimal, since if Xo ^ X is closed and G-invariant there would exist a G-invariant measure supported by Xo which would necessarily be different from fi. Analogously one sees that

doi:10.1090/s0273-0979-1985-15399-6
fatcat:iigwom3t7bgvfjs25zs7xceeom