#### Title

#### Document Type

Article

#### Publication Date

7-1-1997

#### Published In

Proceedings Of The American Mathematical Society

#### Abstract

The authors generalize the dynamical system constructed by J. Auslander in 1959, resulting in perhaps the simplest family of examples of minimal but not strictly ergodic systems. A characterization of unique ergodicity and mean-L-stability is given. The new systems are also shown to have zero topological entropy and fail to be weakly rigid. Some results on the set of idempotents in the enveloping semigroup are also achieved.

#### Recommended Citation

K. N. Haddad and Aimee S. A. Johnson.
(1997).
"Auslander Systems".
*Proceedings Of The American Mathematical Society*.
Volume 125,
Issue 7.
2161-2170.

http://works.swarthmore.edu/fac-math-stat/63

## Comments

This work is freely available courtesy of the American Mathematical Society.