64 citations · 799 across the 46 of their papers we have counts for
23 papers · 1 filter
Boundary conditions and universal finite-size scaling for the hierarchical model in dimensions 4 and higher
Emmanuel Michta, Jiwoon Park, Gordon Slade
We analyse and clarify the finite-size scaling of the weakly-coupled hierarchical -component model for all integers in all dimensions , for both free a…
Mean-field tricritical polymers
Roland Bauerschmidt, Gordon Slade
We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the d…
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…
Three-dimensional tricritical spins and polymers
Roland Bauerschmidt, Martin Lohmann, Gordon Slade
We consider two intimately related statistical mechanical problems on : (i) the tricritical behaviour of a model of classical unbounded -component continuous spins…
Self-avoiding walk, spin systems, and renormalization
Gordon Slade
The self-avoiding walk, and lattice spin systems such as the model, are models of interest both in mathematics and in physics. Many of their important mathematical problems r…
Critical two-point function for long-range models below the upper critical dimension
Martin Lohmann, Gordon Slade, Benjamin C. Wallace
We consider the -component lattice spin model () and the weakly self-avoiding walk () on , in dimensions . We study long-range model…