On concentration properties of disordered Hamiltonians
Probability
2017-06-27 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1706.08337,
title = {On concentration properties of disordered Hamiltonians},
author = {Antonio Auffinger and Wei-Kuo Chen},
journal= {arXiv preprint arXiv:1706.08337},
year = {2017}
}
Comments
9 pages, the first version of the results in this paper appeared in Section 4 of arXiv:1605.01716v1