On concentration properties of disordered hamiltonians

Antonio Auffinger, Wei Kuo Chen

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1807-1815
Number of pages9
JournalProceedings of the American Mathematical Society
Volume146
Issue number4
DOIs
Publication statusPublished - Jan 1 2018

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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