A NOTE ON RECURRENT SETS

Citation:

Wen Zhiying,Wu Liming,Zhong Hong liu.A NOTE ON RECURRENT SETS[J].Chinese Annals of Mathematics B,1994,15(3):321~326
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Authors:

Wen Zhiying; Wu Liming;Zhong Hong liu

Foundation:

Project supported by the National Natural Science Foundation of China.
Abstract: The authors determine the HausdorfF and Bouligand dimensions of a class of recurrent sets by using elementary methods and, as a corollary,give a new proof of a conjecture by Dekking which has been proved by Bedford by using the ergodic techniques.

Keywords:

Recurrent set, Hausdorff dimension, Bouligand dimension.

Classification:

03D25.
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