Displaying similar documents to “Refinement equations for generalized translations.”

New Examples of Convolutions and Non-Commutative Central Limit Theorems

Marek Bożejko, Janusz Wysoczański (1998)

Banach Center Publications

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A family of transformations on the set of all probability measures on the real line is introduced, which makes it possible to define new examples of convolutions. The associated central limit theorems are studied, and examples of the limit measures, related to the classical, free and boolean convolutions, are shown.

Almost sure absolute continuity of Bernoulli convolutions

Michael Björklund, Daniel Schnellmann (2010)

Annales de l'I.H.P. Probabilités et statistiques

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