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EXACT PACKING MEASURE ON THE BOUNDARY OF A GALTON–WATSON TREE

Published online by Cambridge University Press:  24 May 2004

TOSHIRO WATANABE
TOSHIRO WATANABE
Affiliation:
Center for Mathematical Sciences, University of Aizu, Aizu-Wakamatsu 965-8580, Japant-watanb@u-aizu.ac.jp
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Abstract

A necessary and sufficient condition for the almost sure existence of the exact packing measure on the boundary of a Galton–Watson tree is obtained with an explicit exact packing measure. In the case where the exact packing measure does not exist almost surely, a criterion which classifies functions $\ph$ according to whether the $\ph$ packing measure is zero or infinity is given.

Keywords

60J80 (primary)28A7860G18 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 801 - 816
Copyright
The London Mathematical Society 2004

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