Weighted graphs and complex Gaussian free fields

Electronic Communications in Probability

Gregory F. Lawler¹ 

关键词: Gaussian free field;    random walk loop soup;    isomorphism theorem;   

DOI  :  10.1214/19-ECP225

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

We prove a combinatorial statement about the distribution of directed currents in a complex “loop soup” and use it to give a new proof of the isomorphism, which relates loop measures and complex Gaussian free fields.

【 授权许可】

CC BY