Measures of maximal entropy for suspension flows
Measures of maximal entropy for suspension flows
复制标题
悬浮液流最大熵的测量
DOI：
10.1007/s00209-020-02565-x
复制
发表时间：
2019
影响因子：
0.8
通讯作者：
A. Velozo
中科院分区：
文献类型：
--
作者：
G. Iommi;A. Velozo
我们研究定义在具有连续屋顶函数的有限型子移位上的悬浮流。我们证明了具有无数个最大熵遍历测度的悬浮流的存在性。更一般地，我们证明了定义在有限型子移位上的任何悬浮流都可以被扰动(被任意小的扰动)，使得所得到的流具有无数个最大熵的遍历度量，并且可以对它们进行排列，使得新的流具有唯一的最大熵度量。
We study suspension flows defined over sub-shifts of finite type with continuous roof functions. We prove the existence of suspension flows with uncountably many ergodic measures of maximal entropy. More generally, we prove that any suspension flow defined over a sub-shift of finite type can be perturbed (by an arbitrarily small perturbation) so that the resulting flow has uncountably many ergodic measures of maximal entropy, and that the same can be arranged so that the new flow has a unique measure of maximal entropy.