Dynamic Symmetries and Entropic Inequalities in the Probability   Representation of Quantum Mechanics
  The probability representation of quantum and classical statistical mechanics is discussed. Symplectic tomography, center-of-mass tomography, and spin tomography are studied. The connection of tomographic probabilities with dynamic symmetries like symplectic group is considered. Entropic uncertainty relations and inequalities for spin tomograms are reviewed. 
Margarita A. Man'ko and Vladimir I. Man'ko
quant-ph