Entropy dimension for Deterministic Walks in Random Sceneries

Entropy dimension for Deterministic Walks in Random Sceneries

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 viewe...

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Veröffentlicht in:arXiv.org 2020-12
Hauptverfasser: Dou, Dou, Kyewon Koh Park
Format: Artikel
Sprache:eng
Schlagworte:
Complexity
Entropy
Mathematics - Dynamical Systems
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1809.02086