Publications (38)
A renormalisation group method. II. Approximation by local polynomials
David C. Brydges, Gordon Slade
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
Roland Bauerschmidt, David C. Brydges, Gordon Slade
New Lower Bounds on the Self-Avoiding-Walk Connective Constant
Takashi Hara, Gordon Slade, Alan D. Sokal
Invasion percolation on regular trees
Omer Angel, Jesse Goodman, Frank den Hollander +1
The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion
Takashi Hara, Gordon Slade
An extension of the inductive approach to the lace expansion
Remco van der Hofstad, Mark Holmes, Gordon Slade
The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents
Takashi Hara, Gordon Slade
Self-avoiding walk, spin systems, and renormalization
Gordon Slade
Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models
Takashi Hara, Remco van der Hofstad, Gordon Slade
Extension of the generalised inductive approach to the lace expansion: Full proof
Remco van der Hofstad, Mark Holmes, Gordon Slade
Asymptotic expansions in $n^{-1}$ for percolation critical values on the $n$-cube and $\mathbb{Z}^n$
Remco van der Hofstad, Gordon Slade
A renormalisation group method. III. Perturbative analysis
Roland Bauerschmidt, David C. Brydges, Gordon Slade
A renormalisation group method. I. Gaussian integration and normed algebras
David C. Brydges, Gordon Slade
Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees
Akira Sakai, Gordon Slade
Random subgraphs of finite graphs: II. The lace expansion and the triangle condition
Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
David Brydges, Gordon Slade
Critical two-point function for long-range $O(n)$ models below the upper critical dimension
Martin Lohmann, Gordon Slade, Benjamin C. Wallace
A generalised inductive approach to the lace expansion
Remco van der Hofstad, Gordon Slade
The strong interaction limit of continuous-time weakly self-avoiding walk
David C. Brydges, Antoine Dahlqvist, Gordon Slade
Critical correlation functions for the 4-dimensional weakly self-avoiding walk and n-component $|Ï|^4$ model
Gordon Slade, Alexandre Tomberg
Lattice trees, percolation and super-Brownian motion
Gordon Slade
Random subgraphs of finite graphs: III. The phase transition for the $n$-cube
Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2
Scaling limits and critical behaviour of the 4-dimensional n-component $|Ï|^4$ spin model
Roland Bauerschmidt, David C. Brydges, Gordon Slade
Structural stability of a dynamical system near a non-hyperbolic fixed point
Roland Bauerschmidt, David C. Brydges, Gordon Slade
Functional integral representations for self-avoiding walk
David C. Brydges, John Z. Imbrie, Gordon Slade
A renormalisation group method. V. A single renormalisation group step
David C. Brydges, Gordon Slade
The incipient infinite cluster in high-dimensional percolation
Takashi Hara, Gordon Slade
Mean-field lattice trees
Christian Borgs, Jennifer Chayes, Remco van der Hofstad +1
Renormalisation group analysis of 4D spin models and self-avoiding walk
Roland Bauerschmidt, David C. Brydges, Gordon Slade
Lectures on Self-Avoiding Walks
Roland Bauerschmidt, Hugo Duminil-Copin, Jesse Goodman +1
Expansion in $n^{-1}$ for percolation critical values on the $n$-cube and $Z^n$: the first three terms
Remco van der Hofstad, Gordon Slade
The growth constants of lattice trees and lattice animals in high dimensions
Yuri Mejia Miranda, Gordon Slade
Random walk on the incipient infinite cluster for oriented percolation in high dimensions
Martin T. Barlow, Antal A. Jarai, Takashi Kumagai +1
Random subgraphs of finite graphs: I. The scaling window under the triangle condition
Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2
Critical two-point function of the 4-dimensional weakly self-avoiding walk
Roland Bauerschmidt, David C. Brydges, Gordon Slade
Expansion in high dimension for the growth constants of lattice trees and lattice animals
Yuri Mejia Miranda, Gordon Slade
Critical exponents for long-range O(n) models below the upper critical dimension
Gordon Slade
A renormalisation group method. IV. Stability analysis
David C. Brydges, Gordon Slade