Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Entropy operator for continuous dynamical systems of finite topological entropy

Document Type : Research Paper

Authors
Amirkabir University of technology
Abstract
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
Keywords
Subjects

Volume 38, Issue 4 - Serial Number 4
December 2012
Pages 883-892

  • Receive Date 09 October 2011
  • Revise Date 05 March 2011
  • Accept Date 05 March 2011