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arXiv · 1502.03801

Chaos in temperature in generic 2p-spin models

Dmitry Panchenko
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Abstract

We prove chaos in temperature for even $p$-spin models which include sufficiently many $p$-spin interaction terms. Our approach is based on a new invariance property for coupled asymptotic Gibbs measures, similar in spirit to the invariance property that appeared in the proof of ultrametricity in arXiv:1112.1003, used in combination with Talagrand's analogue of Guerra's replica symmetry breaking bound for coupled systems.

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Dmitry Panchenko. 2015-02-12. Chaos in temperature in generic 2p-spin models. https://doi.org/10.1007/s00220-016-2585-z

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