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On a Family of Symmetric Bernoulli Convolutions

✍ Scribed by P. Erdos


Book ID
121875660
Publisher
John Hopkins University Press
Year
1939
Tongue
English
Weight
301 KB
Volume
61
Category
Article
ISSN
0002-9327

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Let \(\left\{X_{n}\right\}_{n=0}^{\infty}\) be a sequence of i.i.d. Bernoulli random variables (i.e., \(X_{n}\) takes values \(\{0,1\}\) with probability \(\frac{1}{2}\) each), let \(X=\sum_{n=0}^{\infty} \rho^{n} X_{n}\), and let \(\mu\) be the corresponding probability measure. ErdΓΆs-Salem proved