Mathematical Research Letters

Volume 15 (2008)

Number 5

A partial order on $\times2$-invariant measures

Pages: 893 – 900

DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n5.a6

Author

Oliver Jenkinson (University of London)

Abstract

We introduce a partial order on the set of $\times 2$-invariant probability measures, describing relative dispersion, and show that the minimal elements for this order are the Sturmian measures of Morse \& Hedlund.

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Published 1 January 2008