Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation
Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation
复制标题
临界高斯混沌：导数归一化的收敛性和唯一性
DOI：
10.1214/18-ejp157
复制
发表时间：
2017
影响因子：
1.4
通讯作者：
E. Powell
中科院分区：
文献类型：
--
作者：
E. Powell
我们证明了，对于一般卷积近似的一大类对数相关
We show that, for general convolution approximations to a large class of log-correlated
fields, including the 2d Gaussian free field, the critical chaos measures with derivative normalisation converge to a limiting measure µ
This limiting measure does
not depend on the choice of approximation. Moreover, it is equal to the measure
obtained using the Seneta–Heyde renormalisation at criticality, or using a white-noise
approximation to the field.
影响因子：
0.5
作者：
Berestycki, Nathanael
通讯作者：
Berestycki, Nathanael