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TITLE Entropy dimension for deterministic walks in random sceneries
KIAS AUTHORS Park, Kyewon Koh
JOURNAL ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022
ARCHIVE  
ABSTRACT 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.
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