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Gordon Slade - The scaling limit of the incipient infinite cluster in high-dimensional percolation



GORDON SLADE, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario  L8S 4K1, Canada
The scaling limit of the incipient infinite cluster in high-dimensional percolation


We describe recent joint work with Takashi Hara proving that, for independent bond percolation in high dimensions, the scaling limits of the incipient infinite cluster's two-point and three-point functions are those of integrated super-Brownian excursion ( ISE).



 

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