Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions
type: Item
instance of: scholarly article
title: Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions
zbMATH Open document ID: 1024.37004
DOI: 10.1007/BF02868480
author: Elon Lindenstrauss
author: Yuval Peres
author: W. Schlag
published in: Journal d'Analyse Mathématique
publication date: 2003-12-01T00:00:00Z
review text: The authors deal with the following question suggested by Ya. G. Sinai, that is: given a probability measure preserving system \(\widetilde X= (X,{\mathcal A},\mu, T)\), what are the possible values of the conditional entropy for \(K\)-partitions in \(X\)? Here the authors give a complete answer to Sinai's question for the case where \(X\) is a Bernoulli system, using certain concrete linear filters.
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 1931234
zbMATH Keywords: probability measure
zbMATH Keywords: conditional entropy
zbMATH Keywords: Bernoulli system
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1931234