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 rescalin...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.展开更多
基金supported by the National Natural Science Foundation of China (Grant number 19771008)Doctoral Program Foundation of Institution of Higher Education (Grant number 96002704)
文摘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.
