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Dimensions for random self–conformal sets

✍ Scribed by Yan–Yan Liu; Jun Wu


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
177 KB
Volume
250
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

A set is called regular if its Hausdorff dimension and upper box–counting dimension coincide. In this paper, we prove that the random self–conformal set is regular almost surely. Also we determine the dimensions for a class of random self–conformal sets.


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