129 citations · 642 across the 21 of their papers we have counts for
4 papers · 1 filter
The continuous-time lace expansion
David C. Brydges, Tyler Helmuth, Mark Holmes
We derive a continuous-time lace expansion for a broad class of self-interacting continuous-time random walks. Our expansion applies when the self-interaction is a sufficiently nic…
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…
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
David Brydges, Gordon Slade
We outline a proof, by a rigorous renormalisation group method, that the critical two-point function for continuous-time weakly self-avoiding walk on Z^d decays as |x|^{-(d-2)} in…
Functional integral representations for self-avoiding walk
David C. Brydges, John Z. Imbrie, Gordon Slade
We give a survey and unified treatment of functional integral representations for both simple random walk and some self-avoiding walk models, including models with strict self-avoi…