Bernoullicity of solenoidal automorphisms and global fields
type: Item
instance of: scholarly article
title: Bernoullicity of solenoidal automorphisms and global fields
zbMATH Open document ID: 0809.28012
DOI: 10.1007/BF02772981
author: Douglas Lind
author: Klaus Schmidt
published in: Israel Journal of Mathematics
publication date: 1994-09-27T00:00:00Z
review text: The authors show that ergodic automorphisms of solenoids are isomorphic to Bernoulli shifts by using the product formula for global fields. A previous result of Katznelson showed that ergodic automorphisms of finite-dimensional tori are measurably isomorphic to Bernoulli shifts, using Fourier approximations and Diophantine ideas.
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 11R04
zbMATH DE Number: 645143
zbMATH Keywords: ergodic automorphisms
zbMATH Keywords: solenoids
zbMATH Keywords: Bernoulli shifts
Wikidata QID: Q101247068
reviewed by: Sophia L. Kalpazidou
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02772981
OpenAlex ID: W1990465374
description: scientific article; zbMATH DE number 645143