MULTIFRACTAL ANALYSIS OF A CODING SPACE OF THE CANTOR SET

  • Baek, In Soo (Department of Mathematics Pusan University of Foreign Studies)
  • Received : 2003.11.05
  • Published : 2004.02.28

Abstract

We study Hausdorff and packing dimensions of subsets of a coding space with an ultra metric from a multifractal spectrum induced by a self-similar measure on a Cantor set using a function satisfying a H$\ddot{o}$lder condition.

Keywords