Abstract
We study the Incipient Infinite Cluster (IIC) of high-dimensional bond percolation on $\mathbb{Z}^d$. We prove that the mass dimension of IIC almost surely equals $4$ and the volume growth exponent of IIC almost surely equals $2$.
Citation
Wouter Cames van Batenburg. "The dimension of the incipient infinite cluster." Electron. Commun. Probab. 20 1 - 10, 2015. https://doi.org/10.1214/ECP.v20-3570
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