ORDERS OF GROWTH AND GENERALIZED ENTROPY-Reference-Cited by-同舟云学术

ORDERS OF GROWTH AND GENERALIZED ENTROPY

Published:2021-09-28 Issue: Volume: Page:1-33
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Correa Javier^ORCID,Pujals Enrique R.

Abstract

Abstract We construct the complete set of orders of growth and define on it the generalized entropy of a dynamical system. With this object, we provide a framework wherein we can study the separation of orbits of a map beyond the scope of exponential growth. We show that this construction is particularly useful for studying families of dynamical systems with vanishing entropy. Moreover, we see that the space of orders of growth in which orbits are separated is wilder than expected. We achieve this with different types of examples.

Funder

National Science Foundation

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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