Entropy dimension for Deterministic Walks in Random Sceneries
Dynamical Systems
2021-07-01 v2
Abstract
Entropy dimension is an entropy-type quantity which takes values in 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.
Cite
@article{arxiv.1809.02086,
title = {Entropy dimension for Deterministic Walks in Random Sceneries},
author = {Dou Dou and Kyewon Koh Park},
journal= {arXiv preprint arXiv:1809.02086},
year = {2021}
}
Comments
18 pages