Uniqueness of the Infinite Open Cluster for High-density Percolation on Lattice Sierpinski Carpet

Authors
Wu, Xian Yuan
Citation
Wu, Xian Yuan, Uniqueness of the Infinite Open Cluster for High-density Percolation on Lattice Sierpinski Carpet, Acta mathematica Sinica. English series (Print) , 17(1), 2000, pp. 141-146
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
1
Year of publication
2000
Pages
141 - 146
Database
ACNP
SICI code
Abstract
We prove the uniqueness of infinite open cluster for high-density bond percolation on lattice Sierpinski Carpet; forthermore, an alternative proof of the existence of phase transition of the model is given. A rescaling technique is developed and used as the main tool of our proofs.