JIPAM

Free and Classical Entropy Over the Circle  
 
  Authors: Gordon Blower,  
  Keywords: Transportation inequality; Free probability; Random matrices.  
  Date Received: 15/09/06  
  Date Accepted: 17/02/07  
  Subject Codes:

60E15; 46L54.

  
  Editors: Frank Hansen,  
 
  Abstract:

Relative entropy with respect to normalized arclength on the circle is greater than or equal to the negative logarithmic energy (Voiculescu's negative free entropy) and is greater than or equal to the modified relative free entropy. This note contains proofs of these inequalities and related consequences of the first Lebedev-Milin inequality.;


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