Almost sure absolute continuity of Bernoulli convolutions

Almost sure absolute continuity of Bernoulli convolutions

Michael Björklund and Daniel Schnellmann

Source: Ann. Inst. H. Poincaré Probab. Statist. Volume 46, Number 3 (2010), 888-893.

Abstract

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

Résumé

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

First Page: Show

Primary Subjects: 60Exx, 60G50

Keywords: Bernoulli convolutions; Absolute continuity

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aihp/1281100403
Digital Object Identifier: doi:10.1214/09-AIHP334
Mathematical Reviews number (MathSciNet): MR2682271
Zentralblatt MATH identifier: 1204.28004

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JSTOR: links.jstor.org

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JSTOR: links.jstor.org

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JSTOR: links.jstor.org

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Digital Object Identifier: doi:10.1090/S0002-9904-1935-06035-5

Project Euclid: euclid.bams/1183498023

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