随机场景中确定性游动的熵维数
Entropy dimension for Deterministic Walks in Random Sceneries
摘要：
熵维数是一个熵型量，它取$[0,1]$中的值，并对动力系统的复杂性的不同水平的中间增长率进行分类。本文考虑了Bernoulli系统无理旋转斜积的复杂性，这类模型可以看作是随机环境中的确定性游动，并证明了通过选择适当的旋转基系统，这类模型可以具有任意给定的熵维数.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
