Mean-field Behaviour and the Lace Expansion

@inproceedings{Hara2013MeanfieldBA,
  title={Mean-field Behaviour and the Lace Expansion},
  author={Takashi Hara and Gordon Slade},
  year={2013}
}
These lectures describe the lace expansion and its role in proving mean-field critical b ehaviour for selfavoiding walks , lattice trees and animals , and percolation, above their upper cr it ical dimensions. Diagrammatic con dit ions for m ean-field behaviour are also outlined. 
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