probability measures with entropy equal to nonnegative number - MathOverflow most recent 30 from http://mathoverflow.net2013-05-23T19:08:09Zhttp://mathoverflow.net/feeds/question/112223http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/112223/probability-measures-with-entropy-equal-to-nonnegative-numberprobability measures with entropy equal to nonnegative numberIvy2012-11-12T21:08:38Z2013-05-23T07:56:20Z
<p>Is it true that for a given nonnegative number, there exists a measure-theoretical entropy value (supremum of entropies of all partitions under a measure-preserving transformation) that equals this number?</p>
http://mathoverflow.net/questions/112223/probability-measures-with-entropy-equal-to-nonnegative-number/131569#131569Answer by FF for probability measures with entropy equal to nonnegative numberFF2013-05-23T07:56:20Z2013-05-23T07:56:20Z<p>There is also a paper of Grillenberger, where You can find the construction <a href="http://link.springer.com/article/10.1007%2FBF00537161?LI=true" rel="nofollow">http://link.springer.com/article/10.1007%2FBF00537161?LI=true</a></p>