Auslander Systems
Auslander Systems
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奥斯兰德系统公司
DOI：
10.1090/s0002-9939-97-03768-4
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
M. Rees
中科院分区：
文献类型：
--
作者：
K. N. Haddad;Aimee S. A. Johnson;K. N. Haddad;Auslander Systems;K. N. Haddad;Aimee S. A. Johnson;M. Rees
。作者概括了 J. Auslander 于 1959 年构建的动力系统，产生了可能是最简单的最小但非严格遍历系统示例家族。给出了独特的遍历性和平均 L 稳定性的表征。新系统还被证明具有零拓扑熵并且不是弱刚性的。关于包络半群的幂等集也得到了一些结果。
. 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.