A Simple Approach to Chaos For p-Spin Models

We prove that, in mixed p -spin models of spin glasses, the location of the ground state is chaotic under small Gaussian perturbations. For the case of even p -spin models, this was shown by Chen et al. (Probab. Theory Related Fields 171(1–2):53–95, 2018). We rely on a different approach which only...

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Veröffentlicht in:	Journal of statistical physics 2020-11, Vol.181 (4), p.1266-1276
1. Verfasser:	Eldan, Ronen
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Spin glasses Statistical Physics and Dynamical Systems Theoretical
Online-Zugang:	Volltext
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Zusammenfassung:	We prove that, in mixed p -spin models of spin glasses, the location of the ground state is chaotic under small Gaussian perturbations. For the case of even p -spin models, this was shown by Chen et al. (Probab. Theory Related Fields 171(1–2):53–95, 2018). We rely on a different approach which only uses the Parisi formula as a black box.
ISSN:	0022-4715 1572-9613
DOI:	10.1007/s10955-020-02626-9