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math.PR2011
The strong interaction limit of continuous-time weakly self-avoiding walk
David C. Brydges, Antoine Dahlqvist, Gordon Slade
The strong interaction limit of the discrete-time weakly self-avoiding walk (or Domb--Joyce model) is trivially seen to be the usual strictly self-avoiding walk. For the continuous…
math.PR2011
The growth constants of lattice trees and lattice animals in high dimensions
Yuri Mejia Miranda, Gordon Slade
We prove that the growth constants for nearest-neighbour lattice trees and lattice (bond) animals on the integer lattice Zd are asymptotic to 2de as the dimension goes to infinity,…