A Generalized Variational Principle for Gaussian Random Fields

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Koukiou, Flora^1

Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, 2, av. A. Chauvin, Cergy-Pontoise

95302, France^1

关键词: Gaussian random fields;    Gaussians;    Generalized variational principle;    Gibbs measure;    Mean field;    Random energy models;    Variational principles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012007/pdf
DOI  :  10.1088/1742-6596/738/1/012007

来源: IOP

【 摘 要 】

The freezing property for a family of models involving Gaussian Random Fields is studied in a unified manner and it is related to the behaviour of the entropy of the Gibbs measure in terms of the variational principle. The analysis includes the Gaussian Multiplicative Chaos, Random Energy Model, Spin Glass Mean-Field, and the Random Polymers models.