Optimization and majorization of invariant measures
نویسندگان
چکیده
منابع مشابه
Optimization and Majorization of Invariant Measures
The set of ×2-invariant measures can be equipped with the partial order of majorization, describing relative dispersion. The minimal elements for this order are precisely the Sturmian measures of Morse and Hedlund. This yields new characterisations of Sturmian measures, and has applications to the ergodic optimization of convex functions.
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 2007
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-07-00170-9