Open Access
August 2010 Almost sure absolute continuity of Bernoulli convolutions
Michael Björklund, Daniel Schnellmann
Ann. Inst. H. Poincaré Probab. Statist. 46(3): 888-893 (August 2010). DOI: 10.1214/09-AIHP334

Abstract

We prove an extension of a result by Peres and Solomyak on almost sure absolute continuity in a class of symmetric Bernoulli convolutions.

La continuité absolue, presque sûrement, est démontrée dans une classe de convolutions de Bernoulli symétrique, étendant un résultat de Peres et Solomyak.

Citation

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Michael Björklund. Daniel Schnellmann. "Almost sure absolute continuity of Bernoulli convolutions." Ann. Inst. H. Poincaré Probab. Statist. 46 (3) 888 - 893, August 2010. https://doi.org/10.1214/09-AIHP334

Information

Published: August 2010
First available in Project Euclid: 6 August 2010

zbMATH: 1204.28004
MathSciNet: MR2682271
Digital Object Identifier: 10.1214/09-AIHP334

Subjects:
Primary: 60Exx , 60G50

Keywords: Absolute continuity , Bernoulli convolutions

Rights: Copyright © 2010 Institut Henri Poincaré

Vol.46 • No. 3 • August 2010
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