Antonio Auffinger, Wei-Kuo Chen
Published 2017-06-26Version 1
We present an elementary approach to concentration of disordered Hamiltonians. Assuming differentiability of the limiting free energy $F$ with respect to the inverse temperature $\beta$, we show that the Hamiltonian concentrates around the energy level $F'(\beta)$ under the free energy and Gibbs average.
Comments: 9 pages, the first version of the results in this paper appeared in Section 4 of arXiv:1605.01716v1
Coexistence, enhancements and short loops in random walk loop soups
Absence of weak disorder for directed polymers on supercritical percolation clusters
Contributions to Random Energy Models
![QR code for arXiv:1706.08337 [math.PR]](http://oss.arxitics.com/images/favicon.svg)