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math.PR1999
Lattice trees, percolation and super-Brownian motion
Gordon Slade
This paper surveys the results of recent collaborations with Eric Derbez and with Takashi Hara, which show that intergrated super-Brownian excursion (ISE) arises as the scaling lim…
math-ph1999
The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents
Takashi Hara, Gordon Slade
This is the first of two papers on the critical behaviour of bond percolation models in high dimensions. In this paper, we obtain strong joint control of the critical exponents eta…