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.
Original language | English (US) |
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Pages (from-to) | 1807-1815 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 146 |
Issue number | 4 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2017 American Mathematical Society.