129 citations · 642 across the 21 of their papers we have counts for
22 papers
Introduction to a renormalisation group method
Roland Bauerschmidt, David C. Brydges, Gordon Slade
This book provides an introduction to a renormalisation group method in the spirit of that of Wilson. It starts with a concise overview of the theory of critical phenomena and the…
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…
Renormalisation group analysis of 4D spin models and self-avoiding walk
Roland Bauerschmidt, David C. Brydges, Gordon Slade
We give an overview of results on critical phenomena in 4 dimensions, obtained recently using a rigorous renormalisation group method. In particular, for the -component …
Scaling limits and critical behaviour of the 4-dimensional n-component spin model
Roland Bauerschmidt, David C. Brydges, Gordon Slade
We consider the -component spin model on , for all , with small coupling constant. We prove that the susceptibility has a logarithmic correction…
On the Virial Series for a Gas of Particles with Uniformly Repulsive Pairwise Interaction
David Brydges, Domingos H. U. Marchetti
The pressure of a gas of particles with a uniformly repulsive pair interaction in a finite container is shown to satisfy (exactly as a formal object) a "viscous" Hamilton-Jacobi (H…
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
Roland Bauerschmidt, David C. Brydges, Gordon Slade
We prove that the susceptibility of the continuous-time weakly self-avoiding walk on , in the critical dimension , has a logarithmic correction to mean-field sca…