On concentration properties of disordered Hamiltonians

Antonio Auffinger, Wei Kuo Chen

Research output: Contribution to journalArticlepeer-review

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.

MSC Codes 60K35, 60G15, 82B44

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Jun 26 2017
Externally publishedYes

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