arXiv subjects
Publications and source records attributed to Flora Koukiou.
From the study of a functional equation relating the Gibbs measures at two different tempratures we prove that the specific entropy of the Gibbs measure of the Sherrington-Kirkpatrick Spin Glass Model vanishes at the inverse temperature $β=4 \log2$.
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 $ε_0$ \[ε_0\geq -0.7833\cdots,\] close to the replica symmetry breaking and numerical simulations values.