广义高斯场的线性大偏差

广义高斯场的线性大偏差 LINEAR LARGE DEVIATION OF GENERALIZED GAUSSIAN FIELD 郑明礼 Zheng Mingli 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 本文考虑广义高斯场的线性大偏差．对平稳遍历广义高斯场，如果谱测度满足一定条件，则大偏差原理成立，并给出了速率函数的表达式． In this paper, we discuss the linear large deviation principle of generalized gaussian field. For stationnary ergodique generalized gaussian field, if the spectrum measuresatisfies a certain condition, then the Large deviation principle is true, and the corresponding rate function is given. 大偏差 广义高斯场 Mackey拓扑 large deviation principle generalized gaussian field Mackey topology O211.4 1994-04-01 2021-04-01 4