On the Universality of the Superconcentration in Mixed p-Spin Models

被引：0

作者：

Van Hao Can

Van Quyet Nguyen

Hong Son Vu

机构：

[1] Institute of Mathematics,

[2] Vietnam Academy of Science and Technology,undefined

[3] Hung Vuong High School for the Gifted,undefined

来源：

Journal of Statistical Physics | / 190卷

关键词：

Mixed ; -spin models; Universality; Superconcentration; Free energy;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Consider the mixed p-spin models with general environments such that the covariance of Hamiltonian process is non-negative. In this paper, we prove the universality of the superconcentration phenomenon. Precisely, we show that the variance of the free energy grows sublinearly in the size of its expectation when the disordered random variable satisfies some moment matching conditions. Additionally, we also study the universality of first and second moments of the free energy of a spin glass model on general hypergraphs.

引用

共 26 条

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