The dimension of the Incipient Infinite Cluster
Abstract
We study the Incipient Infinite Cluster (IIC) of high-dimensional bond percolation on Zd. We prove that the mass dimension of IIC almost surely equals 4 and the volume growth exponent of IIC almost surely equals 2.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.