International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 607-612
doi:10.1155/S0161171295000767
A mixing dynamical system on the cantor set
Applied Mathematical Sciences, Ames Laboratory, Iowa State University, Ames 50011, IA, USA
Received 17 March 1994; Revised 27 June 1994
Copyright © 1995 Jeong H. Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper we give mixing properties (ergodic, weak-mixng and strong-mixing)
to a dynamical system on the Cantor set by showing that the one-sided (12,12)-shift map is isomorphic
to a measure preserving transformation defined on the Cantor set