Entropy dimension is an entropy-type quantity which takes values in $[0,1]$ and classifies different levels of intermediate growth rate of complexity for dynamical systems. In this paper, we consider the complexity of skew products of irrational rotations with Bernoulli systems, which can be viewed as deterministic walks in random sceneries, and show that this class of models can have any given entropy dimension by choosing suitable rotations for the base system.

中文翻译：

---

随机场景中确定性行走的熵维

熵维是一个熵类型的量，取值在 $[0,1]$ 中，并对动态系统复杂性的不同级别的中间增长率进行分类。在本文中，我们考虑了具有伯努利系统的非理性旋转的斜积的复杂性，可以将其视为随机场景中的确定性行走，并表明通过为基础系统选择合适的旋转，此类模型可以具有任何给定的熵维.