论文标题
在D维
On clusters of Brownian loops in d dimensions
论文作者
论文摘要
我们讨论通过与高斯自由场相关的布朗环循环获得的随机几何结构，以及它们的存在和特性如何取决于环境空间的维度。我们为d = 3,4,5的情况制定了许多猜想，并在d> 6时证明了一些结果。
We discuss random geometric structures obtained by percolation of Brownian loops, in relation to the Gaussian Free Field, and how their existence and properties depend on the dimension of the ambient space. We formulate a number of conjectures for the cases d=3,4,5 and prove some results when d > 6.
