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2020 On Absence of disorder chaos for spin glasses on $\mathbb{Z} ^{d}$
Louis-Pierre Arguin, Jack Hanson
Electron. Commun. Probab. 25: 1-12 (2020). DOI: 10.1214/20-ECP311

Abstract

We identify simple mechanisms that prevent a strong form of disorder chaos for edge overlap of the Ising spin glass model on $\mathbb{Z} ^{d}$. This was first shown by Chatterjee in the case of Gaussian couplings. We present three proofs of the theorem for general couplings with continuous distribution based on the presence in the coupling realization of stabilizing features of positive density.

Citation

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Louis-Pierre Arguin. Jack Hanson. "On Absence of disorder chaos for spin glasses on $\mathbb{Z} ^{d}$." Electron. Commun. Probab. 25 1 - 12, 2020. https://doi.org/10.1214/20-ECP311

Information

Received: 31 October 2019; Accepted: 26 March 2020; Published: 2020
First available in Project Euclid: 24 April 2020

zbMATH: 1434.82038
MathSciNet: MR4092762
Digital Object Identifier: 10.1214/20-ECP311

Subjects:
Primary: 82B44

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