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REVERSE ITERATED FUNCTION SYSTEM AND DIMENSION OF DISCRETE FRACTALS

REVERSE ITERATED FUNCTION SYSTEM AND DIMENSION OF DISCRETE FRACTALS

Abstract A reverse iterated function system is defined as a family of expansive maps { T 1 , T 2 ,…, T m } on a uniformly discrete set $M\subset \Bbb {R}^d$ . An invariant set is defined to be a nonempty set $F\subseteq M$ satisfying F =⋃ j =1 …