DIMENSION FOR A CANTOR-LIKE SET WITH OVERLAPS

Lee, Mi-Ryeong;Park, Jung-Ju;Lee, Hung-Hwan

• Published : 2004.10.01
• 45 8

Abstract

In this paper we define a Cantor-like set K with overlaps in R$^1$. We find the correlation dimension of the set K without two conditions: the control of placements of basic sets constructing K and the thickness of K being greater than 1.

Keywords

correlation dimension;Cantor-like set;overlaps

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