We consider completely irrational nilflows on any nilmanifold of step at least 2. We show that there exists a dense set of smooth time-changes such that any time-change in this class which is not measurably trivial gives rise to a mixing nilflow. This in particular reproves and generalizes to any nilflow (of step at least 2) the main result proved in [3] for the special class of Heisenberg (step 2) nilflows, and later generalized in [58] to a class of nilflows of arbitrary step which are isomorphic to suspensions of higher-dimensional linear toral skew-shifts.

中文翻译：

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混合以实现一般零流量的平稳时间变化

我们认为至少有2个步骤的任何尼尔曼弗勒上的完全非理性nilflows，我们证明存在一组紧密的平滑时间变化，从而此类中任何不可衡量的时间变化都产生了混合nilflow。尤其是，这将证明（3步中至少有2个）nilflow并将其推广到海森堡的特殊类（步骤2）中的[3]中证明的主要结果，随后在[58]中将其推广为任意类型的nilflow。与高维线性线性偏斜移的悬浮体同构的步骤。