Thermodynamical Aspects of Classical Lattice Systems
Thermodynamical Aspects of Classical Lattice Systems
复制标题
经典晶格系统的热力学方面
DOI：
10.1007/978-1-4612-0063-5_18
复制
发表时间：
2002
影响因子：
1.6
通讯作者：
C. Pfister
中科院分区：
文献类型：
--
作者：
C. Pfister
讲座的主题是利用统计力学思想的大偏差理论。对于一大类随机场，获得了经验测量的大偏差原理，称为渐近解耦测量。解释了经验测量的大偏差原理的存在与均衡测量和吉布斯测量的概念之间的联系。由于经验测量的大偏差原理，我证明了条件极限定理，扩展了先前的结果。
The main theme of the lectures is large deviations theory using ideas of Statistical Mechanics. A large deviations principle for empirical measures is obtained for a large class of random fields, called asymptotically decoupled measures. The connection between the existence of a large deviations principle for empirical measures and the notions of equilibrium measures and Gibbs measures is explained. As a consequence of the large deviations principle for empirical measures, I prove conditional limit theorems, extending previous results.