Abstract
The symbolic dynamics of the inverse itinerary sequences has been proposed in the present paper. For the 1-dimensional mapping we provide a rule of superorder left-handed multiplication, by which the order of 2~j-equally lengthy words can be generated. It is interesting to find the rigorous self-similar structure of letters embedded in the adjacentordered words, therefore we can give the highly approximate analytic results of the Hausdorff dimension for the disconnected Julia set. This symbolic method for the 1-dimensional mapping is universal.
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Schedule a callMore From: Science in China Series A-Mathematics, Physics, Astronomy & Technological Science
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