Abstract
We present an elementary approach to concentration of disordered Hamiltonians. Assuming differentiability of the limiting free energy F with respect to the inverse temperature β, we show that the Hamiltonian concentrates around the energy level F'(β) under the free energy and Gibbs average.
MSC Codes 60K35, 60G15, 82B44
| Original language | English (US) |
|---|---|
| Journal | Unknown Journal |
| State | Published - Jun 26 2017 |
| Externally published | Yes |