The ground state energy of the mean field spin glass model
  From the study of a functional equation of Gibbs measures we calculate the limiting free energy of the Sherrington-Kirkpatrick spin glass model at a particular value of (low) temperature. This implies the following lower bound for the ground state energy $\epsilon_0$ \[\epsilon_0\geq -0.7833\cdots,\] close to the replica symmetry breaking and numerical simulations values. 
Flora Koukiou (LPTM)