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- Gordon Slade

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
38
Citations
5,084
131
World Ranking
1602
National Ranking
63

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Quantum mechanics
- Geometry

Gordon Slade mainly focuses on Combinatorics, Self-avoiding walk, Lattice, Critical exponent and Discrete mathematics. His Combinatorics study frequently links to other fields, such as Upper and lower bounds. His study in Self-avoiding walk is interdisciplinary in nature, drawing from both Statistical mechanics, Statistical physics, Gaussian and Connective constant.

The study incorporates disciplines such as Critical dimension and Mean field theory in addition to Lattice. His Critical exponent research includes elements of Fourier transform, Mathematical analysis, Critical point and Scaling limit. His Discrete mathematics study incorporates themes from Phase transition and Torus.

- The self-avoiding walk (668 citations)
- Mean-Field Critical Behaviour for Percolation in High Dimensions (196 citations)
- Self-avoiding walk in five or more dimensions I. The critical behaviour (129 citations)

Gordon Slade spends much of his time researching Combinatorics, Lattice, Self-avoiding walk, Critical exponent and Discrete mathematics. His Combinatorics research incorporates themes from Phase transition, Upper and lower bounds and Statistical physics. His research in Lattice intersects with topics in Critical dimension, Boson, Gaussian and Pure mathematics.

The Self-avoiding walk study combines topics in areas such as Renormalization group, Mathematical physics, Heterogeneous random walk in one dimension, Function and Scaling. His Critical exponent study deals with Scaling limit intersecting with Critical point, Brownian motion and Percolation critical exponents. His studies in Percolation integrate themes in fields like Continuum percolation theory and Cluster.

- Combinatorics (41.29%)
- Lattice (29.68%)
- Self-avoiding walk (29.68%)

- Lattice (29.68%)
- Mathematical physics (16.77%)
- Self-avoiding walk (29.68%)

Gordon Slade mostly deals with Lattice, Mathematical physics, Self-avoiding walk, Pure mathematics and Mathematical analysis. His Lattice study integrates concerns from other disciplines, such as Gaussian free field, Statistical physics and Critical exponent. As part of one scientific family, he deals mainly with the area of Statistical physics, narrowing it down to issues related to the Perturbation, and often Gaussian integral.

The study incorporates disciplines such as Renormalization group, Mathematical problem and Renormalization in addition to Critical exponent. His Self-avoiding walk research is multidisciplinary, incorporating elements of Theoretical physics and Torus. Gordon Slade has researched Mathematical analysis in several fields, including Scaling limit and Mean field theory.

- Critical Exponents for Long-Range $${O(n)}$$ O ( n ) Models Below the Upper Critical Dimension (23 citations)
- Introduction to a Renormalisation Group Method (19 citations)
- Three-dimensional tricritical spins and polymers (4 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

Gordon Slade mainly investigates Phase transition, Complete graph, Self-avoiding walk, Torus and Tricritical point. His Phase transition research incorporates elements of Discrete mathematics, Hypercube, Incomplete gamma function and Scaling. His studies link Upper and lower bounds with Self-avoiding walk.

The various areas that Gordon Slade examines in his Gaussian study include Spin model and Mathematical physics. He interconnects Fixed point, Combinatorics, Renormalization group, Spins and Critical point in the investigation of issues within Spin model. His Mathematical physics study combines topics in areas such as Critical point, Elementary proof, Integer lattice and Square root.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The self-avoiding walk

Neal Noah Madras;Gordon Douglas Slade.

**(1991)**

1171 Citations

Mean-Field Critical Behaviour for Percolation in High Dimensions

Takashi Hara;Gordon Slade.

Communications in Mathematical Physics **(1990)**

315 Citations

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

Takashi Hara;Gordon Slade.

Communications in Mathematical Physics **(1992)**

212 Citations

The Lace Expansion and its Applications

École d'été de probabilités de Saint-Flour;Gordon Douglas Slade;Jean Picard.

**(2006)**

172 Citations

THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS

Takashi Hara;Gordon Slade;Gordon Slade.

Reviews in Mathematical Physics **(1992)**

150 Citations

Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models

T Takashi Hara;RW Remco van der Hofstad;RW Remco van der Hofstad;G Gordon Slade.

Annals of Probability **(2003)**

116 Citations

Random subgraphs of finite graphs: I. The scaling window under the triangle condition

Christian Borgs;Jennifer T. Chayes;Remco van der Hofstad;Gordon Slade.

Random Structures and Algorithms **(2005)**

107 Citations

Mean-Field Behaviour and the Lace Expansion

Takashi Hara;Gordon Slade.

**(1994)**

106 Citations

Self-avoiding walk enumeration via the lace expansion

Nathan Clisby;Richard Liang;Gordon Slade.

Journal of Physics A **(2007)**

99 Citations

Random subgraphs of finite graphs : II. The lace expansion and the triangle condition

Christian Borgs;Jennifer T. Chayes;Remco van der Hofstad;Gordon Slade.

Annals of Probability **(2005)**

97 Citations

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