probability measures with entropy equal to nonnegative number - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T19:08:09Z http://mathoverflow.net/feeds/question/112223 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/112223/probability-measures-with-entropy-equal-to-nonnegative-number probability measures with entropy equal to nonnegative number Ivy 2012-11-12T21:08:38Z 2013-05-23T07:56:20Z <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#131569 Answer by FF for probability measures with entropy equal to nonnegative number FF 2013-05-23T07:56:20Z 2013-05-23T07:56:20Z <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>