An elementary approach to Gaussian multiplicative chaos
An elementary approach to Gaussian multiplicative chaos
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DOI：
10.1214/17-ecp58
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发表时间：
2017-01-01
影响因子：
0.5
通讯作者：
Berestycki, Nathanael
中科院分区：
文献类型：
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作者：
Berestycki, Nathanael
给出了高斯乘法混沌收敛性的一个完全初等的自包含证明。论证进一步表明，极限随机测度在整个次临界阶段（γ <根2d）是非平凡的，并且极限是全称的（即，极限测度与底层场的正则化无关）。
A completely elementary and self-contained proof of convergence of Gaussian multiplicative chaos is given. The argument shows further that the limiting random measure is nontrivial in the entire subcritical phase (gamma < root 2d) and that the limit is universal (i.e., the limiting measure is independent of the regularisation of the underlying field).