We study global-local mixing for a family of accessible skew products with an exponentially mixing base and non-compact fibers, preserving an infinite measure. For a dense set of almost periodic global observables, we prove rapid mixing, and for a dense set of global observables vanishing at infinity, we prove polynomial mixing. More generally, we relate the speed of mixing to the “low frequency behavior” of the spectral measure associated to our global observables. Our strategy relies on a careful choice of the spaces of observables and on the study of a family of twisted transfer operators.

中文翻译：

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可访问偏斜产品的定量全局-局部混合

我们研究了一系列具有指数混合基础和非致密纤维的可访问偏斜产品的全局-局部混合，保留了无限度量。对于一组密集的几乎周期性的全局可观测值，我们证明了快速混合，对于一组在无穷远处消失的密集全局可观测值，我们证明了多项式混合。更一般地说，我们将混合速度与与我们的全局可观测值相关的频谱测量的“低频行为”联系起来。我们的策略依赖于对可观察空间的仔细选择以及对一系列扭曲传递算子的研究。