Hamiltonian structure of the Sabra shell model of turbulence: exact   calculation of an anomalous scaling exponent
  We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. As a consequence we compute exactly a one-parameter family of anomalous scaling exponents associated with 4th order correlation functions. 
Victor S. L'vov, Evgenii Podivilov and Itamar Procaccia, (Department   of Chemical Physics, The Weizmann Institute of Scienc...