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Abstract
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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

Jeong H. Kim

Applied Mathematical Sciences, Ames Laboratory, Iowa State University, Ames 50011, IA, USA

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