TY - JOUR
T1 - A Simple Approach to Chaos For p-Spin Models
AU - Eldan, Ronen
N1 - I am grateful to Eliran Subag and Wei-Kuo Chen for a very useful comments and for suggesting a simpler proof for Lemma 4. I would also like to thank Dmitry Panchenko for pointing out to me the Ref. [10] shortly after this paper appeared on the Arxiv, and Jian Ding for telling me about this subject back in 2013. This research was supported by a European Research Council Starting Grant (ERC StG) and by an Israel Science Foundation (ISF) Grant No. 715/16.
PY - 2020/11/1
Y1 - 2020/11/1
N2 - We prove that, in mixedp-spin models of spin glasses, the location of the ground state is chaotic under small Gaussian perturbations. For the case of evenp-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.
AB - We prove that, in mixedp-spin models of spin glasses, the location of the ground state is chaotic under small Gaussian perturbations. For the case of evenp-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.
UR - http://www.scopus.com/inward/record.url?scp=85089920583&partnerID=8YFLogxK
U2 - https://doi.org/10.1007/s10955-020-02626-9
DO - https://doi.org/10.1007/s10955-020-02626-9
M3 - مقالة
SN - 0022-4715
VL - 181
SP - 1266
EP - 1276
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
ER -