Slow entropy and variational dynamical systems
Minhua Cheng1; Carlos Ospina1; Kurt Vinhage1; Yibo Zhai1
1 Department of Mathematics, University of Utah, Salt Lake City, UT 84112
Mathematics Research Reports, Volume 6 (2025), pp. 17-49.

We define variational properties for dynamical systems with subexponential complexity, and study these properties in certain specific examples. By computing the value of slow entropy directly, we show that some subshifts are not variational, while a class of interval exchange transformations are variational.

Received:
Published online:
DOI: 10.5802/mrr.22
Classification: 37A35, 37D35
Keywords: entropy, complexity, slow entropy, subshifts, interval exchange transformations (IETs)

Minhua Cheng 1; Carlos Ospina 1; Kurt Vinhage 1; Yibo Zhai 1

1 Department of Mathematics, University of Utah, Salt Lake City, UT 84112
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Minhua Cheng; Carlos Ospina; Kurt Vinhage; Yibo Zhai. Slow entropy and variational dynamical systems. Mathematics Research Reports, Volume 6 (2025), pp. 17-49. doi : 10.5802/mrr.22. https://mrr.centre-mersenne.org/articles/10.5802/mrr.22/

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