Gordon Douglas Slade

Gordon Douglas Slade's AcademicInfluence.com Rankings

Mathematics

#3137

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#4692

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Measure Theory

#3029

World Rank

#3597

Historical Rank

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Mathematics

Why Is Gordon Douglas Slade Influential?

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According to Wikipedia, Gordon Douglas Slade is a Canadian mathematician, specializing in probability theory. Education Slade received in 1977 his bachelor's degree from the University of Toronto and in 1984 his PhD for research supervised by Joel Feldman and Lon Rosen at the University of British Columbia.

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Gordon Douglas Slade's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The self-avoiding walk (1991) (875)
Mean-field critical behaviour for percolation in high dimensions (1990) (280)
Self-avoiding walk in five or more dimensions I. The critical behaviour (1992) (171)
THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS (1992) (139)
The Lace Expansion and its Applications (2006) (139)
Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models (2000) (117)
Mean-Field Behaviour and the Lace Expansion (1994) (101)
Random subgraphs of finite graphs: I. The scaling window under the triangle condition (2004) (99)
Random subgraphs of finite graphs : II. The lace expansion and the triangle condition (2004) (94)
The Scaling Limit of Lattice Trees in High Dimensions (1998) (88)
On the upper critical dimension of lattice trees and lattice animals (1990) (83)
The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion (1999) (82)
Lectures on self-avoiding walks (2012) (82)
Self-avoiding walk enumeration via the lace expansion (2007) (81)
Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions (2006) (79)
Convergence of critical oriented percolation to super-Brownian motion above 4+1 dimensions (2003) (76)
Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis (2014) (71)
A generalised inductive approach to the lace expansion (2000) (71)
Random Subgraphs Of Finite Graphs: III. The Phase Transition For The n-Cube (2004) (66)
The Self-Avoiding-Walk and Percolation Critical Points in High Dimensions (1995) (66)
Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk (2014) (63)
Scaling Limits and Critical Behaviour of the 4-Dimensional n-Component |φ|4 Spin Model (2014) (60)
The diffusion of self-avoiding random walk in high dimensions (1987) (59)
A Renormalisation Group Method. I. Gaussian Integration and Normed Algebras (2014) (55)
The diffusive phase of a model of self-interacting walks (1995) (54)
Functional integral representations for self-avoiding walk ∗ (2009) (52)
A Renormalisation Group Method. V. A Single Renormalisation Group Step (2014) (52)
The Scaling Limit of the Incipient Infinite Cluster in High-Dimensional Percolation. I. Critical Exponents (1999) (52)
A Renormalisation Group Method. III. Perturbative Analysis (2014) (50)
A Renormalisation Group Method. II. Approximation by Local Polynomials (2014) (50)
Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation (1996) (48)
Construction of the Incipient Infinite Cluster for Spread-out Oriented Percolation Above 4 + 1 Dimensions (2002) (47)
Introduction to a Renormalisation Group Method (2019) (42)
A Renormalisation Group Method. IV. Stability Analysis (2014) (41)
Asymptotic expansions in n−1 for percolation critical values on the n‐Cube and ℤn (2005) (41)
The self-avoiding walk: A brief survey (2011) (40)
Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher (2010) (39)
Expansion in $n^{-1}$ for percolation critical values on the $n$-cube and $Z^n$: the first three terms (2004) (39)
Invasion percolation on regular trees (2006) (36)
Self-avoiding walks (1994) (36)
Scaling Limits and Critical Behaviour of the $$4$$4-Dimensional $$n$$n-Component $$|\varphi |^4$$|φ|4 Spin Model (2014) (35)
Lattice trees and super-Brownian motion (1997) (35)
Critical behaviour of self-avoiding walk in five or more dimensions. (1991) (35)
A new inductive approach to the lace expansion for self-avoiding walks (1998) (34)
Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point (2012) (33)
The Scaling Limit of Self-Avoiding Random Walk in High Dimensions (1989) (33)
Critical Exponents for Long-Range $${O(n)}$$O(n) Models Below the Upper Critical Dimension (2016) (33)
The number and size of branched polymers in high dimensions (1992) (33)
Lattice Trees, Percolation and Super-Brownian Motion (1999) (31)
Critical Correlation Functions for the 4-Dimensional Weakly Self-Avoiding Walk and n-Component |φ|4 Model (2015) (29)
Convergence of self-avoiding random walk to Brownian motion in high dimensions (1988) (26)
Critical Two-Point Function for Long-Range O(n) Models Below the Upper Critical Dimension (2017) (25)
Mean-field lattice trees (1999) (25)
The survival probability for critical spread-out oriented percolation above 4 + 1 dimensions. I. Induction (2007) (25)
Expansion in ${\boldsymbol{n^{-1}}}$ for Percolation Critical Values on the $n$-cube and ${\boldsymbol{{\mathbb Z}^n}}$: the First Three Terms (2006) (22)
The lace expansion on a tree with application to networks of self-avoiding walks (2003) (21)
The incipient infinite cluster in high-dimensional percolation (1998) (19)
Critical Correlation Functions for the 4-Dimensional Weakly Self-Avoiding Walk and n-Component $${|\varphi|^4}$$|φ|4 Model (2014) (19)
The growth constants of lattice trees and lattice animals in high dimensions (2011) (19)
The strong interaction limit of continuous-time weakly self-avoiding walk (2011) (11)
Self-avoiding walk on the complete graph (2019) (11)
New lower bounds on the self-avoiding-walk connective constant (1993) (10)
High-dimensional near-critical percolation and the torus plateau (2021) (10)
Erratum: New lower bounds on the self-avoiding-walk connective constant (1995) (8)
Four-Dimensional Weakly Self-avoiding Walk with Contact Self-attraction (2016) (8)
Polygons and the Lace Expansion (2009) (8)
Expansion in High Dimension for the Growth Constants of Lattice Trees and Lattice Animals (2012) (8)
High-Dimensional Graphical Networks of Self-Avoiding Walks (2004) (8)
Finite-order correlation length for 4-dimensional weakly self-avoiding walk and $|\varphi|^4$ spins (2015) (8)
Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis (2015) (8)
Gaussian Fields (2019) (7)
An extension of the inductive approach to the lace expansion. (2007) (7)
The triangle condition for percolation (1989) (7)
A simple convergence proof for the lace expansion (2020) (7)
Finite-Order Correlation Length for Four-Dimensional Weakly Self-Avoiding Walk and $${|\varphi|^4}$$|φ|4 Spins (2015) (7)
Finite-Order Correlation Length for Four-Dimensional Weakly Self-Avoiding Walk and | ϕ | 4 Spins (2016) (6)
Self-avoiding walk, spin systems and renormalization (2018) (6)
The scaling limit of the weakly self-avoiding walk on a high-dimensional torus (2021) (6)
Three-dimensional tricritical spins and polymers (2019) (6)
Random subgraphs of finite graphs. Part III: The phase transition for the n-cube (2003) (6)
Spin Systems (2018) (5)
Probabilistic Models of Critical Phenomena (2004) (5)
The near-critical two-point function for weakly self-avoiding walk in high dimensions (2020) (5)
The Near-Critical Two-Point Function and the Torus Plateau for Weakly Self-avoiding Walk in High Dimensions (2020) (5)
The loop expansion for the effective potential in theP(φ)2 quantum field theory (1985) (5)
The effective potential as an energy density: The one phase region (1986) (4)
Mean-field tricritical polymers (2019) (4)
Asymptotic behaviour of the lattice Green function (2021) (4)
The Critical Behavior of Random Systems (1995) (4)
Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk (2015) (3)
An extension of the generalised inductive approach to the lace expansion (2007) (3)
A Renormalisation Group Method. V. A Single Renormalisation Group Step (2015) (2)
Analysis of Monte Carlo methods (1996) (2)
Renormalisation group analysis of 4D spin models and self-avoiding walk (2016) (2)
The survival probability for riti al spread-out orientedper olation above 4 + 1 dimensions (2005) (2)
Self‐avoiding walk on the hypercube (2021) (2)
Book Review: Random walks and random environments (1998) (2)
Asymptotic expansions in $n^{-1}$ for percolation critical values on the $n$-cube and $\mathbb{Z}^n$ (2004) (2)
Self-Avoiding Walk and Supersymmetry (2019) (1)
Kotani’s Theorem and the Lace Expansion (2020) (1)
Decay of the two-point function (1996) (1)
N ov 2 01 4 A renormalisation group method . IV . Stability analysis (2014) (1)
Extension of the generalised inductive approach to the lace expansion : full proof (2007) (1)
26p-J-1 Self-Avoiding Walk in Five Dimensions (1991) (1)
PR ] 4 J un 2 00 9 Functional integral representations for self-avoiding walk (2009) (1)
Kotani's Theorem for the Fourier Transform (2020) (1)
Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees (2018) (1)
Critical Two-Point Function for Long-Range O(n) Models Below the Upper Critical Dimension (2017) (1)
The Renormalisation Group Map (2019) (1)
A collapse transition for self-attracting walks (1994) (1)
Appendix B: Solutions to Exercises (2019) (0)
The Hierarchical Model (2019) (0)
NEW LOWER BOUNDS ON THE SELF-AVOIDING-WALK CONNECTIVE CONSTANT (VOL 72, PG 479, 1993) (1995) (0)
An asymptotic loop extension for the effective potential in the p(ø)₂ quantum field theory (1984) (0)
The s aling limit of the in ipient in nite luster in high-dimensional per olation . II . Integrated super-Brownian ex ursion (2021) (0)
Four-Dimensional Weakly Self-avoiding Walk with Contact Self-attraction (2017) (0)
A Renormalisation Group Method. III. Perturbative Analysis (2015) (0)
Mean unknotting times of random knots and embeddings (2007) (0)
Nonperturbative Contribution to Φ + U $$\varPhi _+^U$$ : Proof of Theorem 8.2.5 (2019) (0)
IV.25 Probabilistic Models of Critical Phenomena (2010) (0)
The lace expansion (1996) (0)
The T z-Seminorm (2019) (0)
The Phase Transition for Random Subgraphs of the ncube (2004) (0)
Global Flow: Proof of Theorem 4.2.1 (2019) (0)
Flow Equations and Main Result (2019) (0)
Critical Exponents for Long-Range O(n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${O(n)}$$\end{document} Models Be (2017) (0)
A Renormalisation Group Method. IV. Stability Analysis (2015) (0)
Bounds on Φ + K $$\varPhi _+^K$$ : Proof of Theorem 8.2.4 (2019) (0)
N ov 2 01 4 A renormalisation group method . III . Perturbative analysis (2021) (0)
Renormalisation group analysis of critical models at and below the upper critical dimension (2016) (0)
Polygons, slabs, bridges and knots (1996) (0)
A ug 2 00 6 Invasion percolation on regular trees (2006) (0)
A Renormalisation Group Method. II. Approximation by Local Polynomials (2015) (0)
Some combinatorial bounds (1996) (0)
Scaling, polymers and spins (1996) (0)
A Renormalisation Group Method. I. Gaussian Integration and Normed Algebras (2015) (0)
Finite-Range Decomposition (2019) (0)
Above four dimensions (1996) (0)
FLA CONVERGENCE OF CRITICAL ORIENTED PERCOLATION TO SUPER-BROWNIAN MOTION ABOVE 4 + 1 DIMENSIONS CONVERGENCE DE LA PERCOLATION ORIENTÉE CRITIQUE VERS LE SUPER MOUVEMENT BROWNIEN EN DIMENSION SUPÉRIEURE À 4 + 1 (2003) (0)
Appendix A: Extension to Euclidean Models (2019) (0)
Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point (2014) (0)
MSR-TR-98-47 Mean-field lattice trees (1999) (0)

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