On concentration properties of disordered Hamiltonians

2017/06/26 by Antonio Auffinger, Wei-Kuo Chen, Auffinger, Antonio +1 · 1 citation
Mathematics · Physics and Astronomy · #60G15 #60K35 #82B44 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR #msc:60G15 #msc:60K35 #msc:82B44

paper · pdf · doi:10.48550/arxiv.1706.08337

9 pages, the first version of the results in this paper appeared in Section 4 of arXiv:1605.01716v1

arxiv created 2017/06/26 · arxiv updated 2017/06/27

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.

Citations

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