Scaling Entropy of Unstable Systems
Dynamical Systems
2020-10-13 v1
Abstract
In this work, we study the slow entropy type invariant of a dynamical system proposed by A. M. Vershik. We provide an explicit construction of a system whose class of scaling entropy sequences is empty. For this unstable case, we introduce an upgraded notion of the invariant, generalize subadditivity results, and provide a complete series of examples.
Keywords
Cite
@article{arxiv.2010.05742,
title = {Scaling Entropy of Unstable Systems},
author = {Georgii Veprev},
journal= {arXiv preprint arXiv:2010.05742},
year = {2020}
}
Comments
10 pages