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On concentration properties of disordered Hamiltonians
Antonio Auffinger, Wei-Kuo Chen · 2017-06-26 · via math.PR updates on arXiv.org

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.

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