On concentration properties of disordered Hamiltonians
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- by Antonio Auffinger and Wei-Kuo Chen PDF
- Proc. Amer. Math. Soc. 146 (2018), 1807-1815 Request permission
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 $\beta$, we show that the Hamiltonian concentrates around the energy level $F’(\beta )$ under the free energy and Gibbs average.References
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Additional Information
- Antonio Auffinger
- Affiliation: Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, Illinois 60208
- MR Author ID: 879839
- Email: auffing@math.northwestern.edu
- Wei-Kuo Chen
- Affiliation: School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street SE, Minneapolis, Minnesota 55455
- MR Author ID: 1008839
- Email: wkchen@umn.edu
- Received by editor(s): February 28, 2017
- Received by editor(s) in revised form: June 17, 2017
- Published electronically: January 12, 2018
- Communicated by: Zhen-Qing Chen
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1807-1815
- MSC (2010): Primary 60K35, 60G15, 82B44
- DOI: https://doi.org/10.1090/proc/13864
- MathSciNet review: 3754362