Convolutions of Cantor measures without resonance

Details Convolutions of Cantor measures without resonance Convolutions of Cantor measures without resonance

2009-05-23

arxiv.org/abs/0905.3850v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Denote by $\mu_a$ the distribution of the random sum $(1-a) \sum_{j=0}^\infty \omega_j a^j$, where $P(\omega_j=0)=P(\omega_j=1)=1/2$ and all the choices are independent. For $01$ and $\log (1/3) /\log (1/4)$ is irrational.

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