On inhomogeneous Bernoulli convolutions and random power series
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Authors
We extend the results of Peres and Solomyak on absolute continu- ity and singularity of homogeneous Bernoulli convolutions to inhomo- geneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erdös-Salem type theorem for inhomogeneous Bernoulli convolutions.
| Original language | English |
|---|---|
| Journal | Real Analysis Exchange |
| Volume | 36 |
| Issue number | 1 |
| Pages (from-to) | 213-222 |
| Number of pages | 10 |
| ISSN | 0147-1937 |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
- Mathematics
- Absolute continuity, Inhomogeneous bernoulli convolution, Pisot numbers, Random power series, Singularity