On concentration properties of disordered hamiltonians

Antonio Auffinger; Wei Kuo Chen

doi:10.1090/proc/13864

On concentration properties of disordered hamiltonians

Antonio Auffinger, Wei Kuo Chen

School of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	1807-1815
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	4
DOIs	https://doi.org/10.1090/proc/13864
State	Published - 2018

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© 2017 American Mathematical Society.

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title = "On concentration properties of disordered hamiltonians",

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{\textquoteright}(β) under the free energy and Gibbs average.",

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AU - Chen, Wei Kuo

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On concentration properties of disordered hamiltonians

Abstract

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