Absolutely continuous random power series in reciprocals of Pisot numbers

J. Neunhäuserer

Statistics & Probability Letters, 2013, vol. 83, issue 2, 431-435

Abstract: We construct a continuum of shift invariant Borel probability measures on {−1,1}N such that corresponding random power series in reciprocals of Pisot numbers are absolutely continuous with respect to the Lebesgue measure.

Keywords: Random power series; Absolute continuity; Pisot numbers (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2012.10.024

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