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.

中文翻译：

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悬浮流最大熵的测度

我们研究了在具有连续屋顶函数的有限类型的子位移上定义的悬浮流。我们证明悬浮流的存在具有无数的最大熵遍历测度。更一般地说，我们证明了在有限类型的子位移上定义的任何悬浮流都可以被扰动（通过任意小的扰动），因此产生的流具有无数的最大熵遍历测度，并且可以这样安排新流具有唯一的最大熵度量。