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MULTIFRACTAL DECOMPOSITION OF CERTAIN RECURSIVE SETS WITHOUT THE OPEN SET CONDITION
Authors:Guo Hongwen
Institution:Guo Hongwen Department of Mathematics,Wuhan University,Wuhan 430071,China Department of Mathematics,Henan Normal University,Deng Aijiao Department of Mathematics,Wuhan University,Wuhan,430071,China
Abstract:The open set condition is the weakest condition hitherto in multifractal de- composition on the recursive sets. This paper deals with certain recursive fractals which have no relevence to the separation condition and gives their multifractal decomposition.
Keywords:Random measure  multifractal  dimension
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