Lattice trees , percolation and super-Brownian motion

@inproceedings{SladeLatticeT,
  title={Lattice trees , percolation and super-Brownian motion},
  author={Gordon Slade}
}
This paper surveys the results of recent collaborations with Eric Derbez and with Takashi Hara, which show that integrated superBrownian excursion (ISE) arises as the scaling limit of both lattice trees and the incipient infinite percolation cluster, in high dimensions. A potential extension to oriented percolation is also mentioned.