2015/04/17 by Wang, Menglu, Wu, Hao
#60G60 #60J67 #FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.1504.04606
We study the level lines of GFF starting from interior points. We show that the level line of GFF starting from an interior point turns out to be a sequence of level loops. The sequence of level loops satisfies "target-independent" property. All sequences of level loops starting from interior points give a tree-structure of the plane. We also introduce the continuum exploration process of GFF starting from interior. The continuum exploration process of whole-plane GFF satisfies "reversibility".