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)|
|State||Published - Jun 26 2017|
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