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Self-avoiding walk on the complete graph

Journal of the Mathematical Society of Japan, 2020, Vol.72 (4)

SLADE, Gordon

2020

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Critical Exponents for Long-Range O(n) Models Below the Upper Critical Dimension

Communications in mathematical physics, 2018-02, Vol.358 (1), p.343-436

Slade, Gordon

2018

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Self-avoiding walk, spin systems and renormalization

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2019-01, Vol.475 (2221), p.20180549-20180549

Slade, Gordon

2019

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Self-avoiding walk, spin systems and renormalization

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2019-01, Vol.475 (2221), p.1-21

Slade, Gordon

2019

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Weakly self-avoiding walk on a high-dimensional torus

Probability and mathematical physics (Berkeley, Calif. : Online), 2023-05, Vol.4 (2), p.331-375

2023

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Asymptotic behaviour of the lattice Green function

Alea (2006), 2022, Vol.19 (1), p.957

2022

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Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions

Communications in mathematical physics, 2008-03, Vol.278 (2), p.385-431

2008

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Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis

Communications in mathematical physics, 2015-07, Vol.337 (2), p.817-877

2015

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Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk

Communications in mathematical physics, 2015-08, Vol.338 (1), p.169-193

2015

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High-dimensional near-critical percolation and the torus plateau

The Annals of probability, 2023-03, Vol.51 (2)

2023

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Critical Two-Point Functions and the Lace Expansion for Spread-Out High-Dimensional Percolation and Related Models

The Annals of probability, 2003-01, Vol.31 (1), p.349-408

2003

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Mean-field tricritical polymers

Probability and mathematical physics (Berkeley, Calif. : Online), 2020-11, Vol.1 (1), p.167-204

2020

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Critical Correlation Functions for the 4-Dimensional Weakly Self-Avoiding Walk and n-Component |φ|4 Model

Communications in mathematical physics, 2016-03, Vol.342 (2), p.675-737

2016

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The Scaling Limit of Lattice Trees in High Dimensions

Communications in mathematical physics, 1998-04, Vol.193 (1), p.69-104

1998

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Construction of the incipient infinite cluster for spread-out oriented percolation above 4 + 1 dimensions

Communications in mathematical physics, 2002-12, Vol.231 (3), p.435-461

2002

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An extension of the inductive approach to the lace expansion

Electronic communications in probability, 2008-01, Vol.13 (none)

2008

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The diffusion of self-avoiding random walk in high dimensions

Communications in mathematical physics, 1987-12, Vol.110 (4), p.661-683

SLADE, G

1987

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Random Subgraphs of Finite Graphs. II. The Lace Expansion and the Triangle Condition

The Annals of probability, 2005-09, Vol.33 (5), p.1886-1944

2005

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Invasion Percolation on Regular Trees

The Annals of probability, 2008-03, Vol.36 (2), p.420-466

2008

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The growth constants of lattice trees and lattice animals in high dimensions

Electronic communications in probability, 2011-01, Vol.16 (none)

2011

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Functional integral representations for self-avoiding walk

Probability surveys, 2009-01, Vol.6 (none)

2009

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Mean-field critical behaviour for percolation in high dimensions

Communications in mathematical physics, 1990-03, Vol.128 (2), p.333-391

1990

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Self-avoiding walk in five or more dimensions. I : the critical behaviour

Communications in mathematical physics, 1992-06, Vol.147 (1), p.101-136

1992

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Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation

Communications in mathematical physics, 1996-12, Vol.182 (2), p.485-504

1996

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The lace expansion on a tree with application to networks of self-avoiding walks

Advances in applied mathematics, 2003-04, Vol.30 (3), p.471-528

2003

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Self-avoiding walk on the complete graph

Critical Exponents for Long-Range O(n) Models Below the Upper Critical Dimension

Self-avoiding walk, spin systems and renormalization

Self-avoiding walk, spin systems and renormalization

Weakly self-avoiding walk on a high-dimensional torus

Asymptotic behaviour of the lattice Green function

Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions

Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis

Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk

High-dimensional near-critical percolation and the torus plateau

Critical Two-Point Functions and the Lace Expansion for Spread-Out High-Dimensional Percolation and Related Models

Mean-field tricritical polymers

Critical Correlation Functions for the 4-Dimensional Weakly Self-Avoiding Walk and n-Component |φ|4 Model

The Scaling Limit of Lattice Trees in High Dimensions

Construction of the incipient infinite cluster for spread-out oriented percolation above 4 + 1 dimensions

An extension of the inductive approach to the lace expansion

The diffusion of self-avoiding random walk in high dimensions

Random Subgraphs of Finite Graphs. II. The Lace Expansion and the Triangle Condition

Invasion Percolation on Regular Trees

The growth constants of lattice trees and lattice animals in high dimensions

Functional integral representations for self-avoiding walk

Mean-field critical behaviour for percolation in high dimensions

Self-avoiding walk in five or more dimensions. I : the critical behaviour

Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation

The lace expansion on a tree with application to networks of self-avoiding walks

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