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arxiv: 1406.1269 · v1 · pith:7VDQD5VZnew · submitted 2014-06-05 · 🧮 math.MG

Doubling measures on uniform Cantor sets

classification 🧮 math.MG
keywords doublingcantormeasuremeasuresuniformarbitrarilycompleteconsidered
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We obtain a complete description for a probability measure to be doubling on an arbitrarily given uniform Cantor set. The question of which doubling measures on such a Cantor set can be extended to a doubling measure on [0; 1] is also considered.

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