A Morita Type Proof of the Replica-Symmetric Formula for SK

A Morita Type Proof of the Replica-Symmetric Formula for SK
复制标题

SK复制对称公式的森田型证明

DOI:
10.1007/978-3-030-29077-1_4
复制
发表时间:
2018
期刊:
Statistical Mechanics of Classical and Disordered Systems
影响因子:
--
通讯作者:
E. Bolthausen
E. Bolthausen
中科院分区:
--
文献类型:
--
作者:
E. Bolthausen

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在TAP公式的基础上,给出了高温下谢林顿-柯克帕特里克模型自由能的复制对称公式的证明。这是通过表明条件退火自由能等于淬火自由能来实现的,其中条件是由一个适当的{\sigma}场给出的,相对于这个场,TAP解是可测量的。
We give a proof of the replica symmetric formula for the free energy of the Sherrington-Kirkpatrick model in high temperature which is based on the TAP formula. This is achieved by showing that the conditional annealed free energy equals the quenched one, where the conditioning is given by an appropriate {\sigma}-field with respect to which the TAP solutions are measurable.
DOI: 10.1214/18-aop1307
发表时间: 2019-07-01
影响因子: 2.3
作者:
Auffinger, Antonio;Jagannath, Aukosh
通讯作者: Jagannath, Aukosh