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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
Affiliation:
Center for Mathematical Sciences, University of Aizu, Aizu-Wakamatsu 965-8580, [email protected]
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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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

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