On concentration properties of disordered Hamiltonians
arXiv:1706.08337
Abstract
We present an elementary approach to concentration of disordered Hamiltonians. Assuming differentiability of the limiting free energy with respect to the inverse temperature , we show that the Hamiltonian concentrates around the energy level under the free energy and Gibbs average.
9 pages, the first version of the results in this paper appeared in Section 4 of arXiv:1605.01716v1