On concentration properties of disordered Hamiltonians
classification
🧮 math.PR
math-phmath.MP
keywords
energybetaconcentrationdisorderedfreehamiltoniansapproacharound
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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.
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