An approach to chaos in some mixed p-spin models

Wei Kuo Chen; Dmitry Panchenko

doi:10.1007/s00440-012-0460-1

An approach to chaos in some mixed p-spin models

Wei Kuo Chen, Dmitry Panchenko

Mathematics

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13 Scopus citations

Abstract

We consider the problems of chaos in disorder and temperature for coupled copies of the mixed p-spin models. Under certain assumptions on the parameters of the models, first we prove a weak form of chaos by showing that the overlap is concentrated around its Gibbs average depending on the disorder and then obtain several results toward strong chaos by providing control of the overlap between two systems in terms of their Parisi measures.

Original language	English (US)
Pages (from-to)	389-404
Number of pages	16
Journal	Probability Theory and Related Fields
Volume	157
Issue number	1-2
DOIs	https://doi.org/10.1007/s00440-012-0460-1
State	Published - Oct 2013

Bibliographical note

Funding Information:
Partially supported by NSF grant.

Keywords

Chaos
Spin glass models
Stability

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KW - Spin glass models

KW - Stability

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An approach to chaos in some mixed p-spin models

Abstract

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Keywords

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