A note on entropy of finitely ergodic compact topological dynamical systems

Author(s):

Mehdi Rahimi * , Amir Assari

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, using a map on the product space, we define a linear functional on a Hilbert space and we extract the metric entropy of a system as the operator norm of the linear functional. This follows an approach which considers the entropy of a dynamical system as a linear operator.
Keywords:

Dynamical system , entropy , Riemannian metric

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:2 Issue: 1, Aug 2021
Pages:
141 to 150
https://www.magiran.com/p2314372