- Home
- Best Scientists - Mathematics
- David C. Brydges

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
31
Citations
3,593
101
World Ranking
2623
National Ranking
109

2007 - Fellow of the Royal Society of Canada Academy of Science

1982 - Fellow of Alfred P. Sloan Foundation

- Quantum mechanics
- Mathematical analysis
- Quantum field theory

David C. Brydges mainly focuses on Mathematical physics, Quantum mechanics, Statistical mechanics, Statistical physics and Coulomb. His study in Mathematical physics is interdisciplinary in nature, drawing from both Connection, Gaussian and Singularity. His Gaussian research is multidisciplinary, incorporating elements of Order, Scaling limit, Heterogeneous random walk in one dimension and Implicit function theorem.

David C. Brydges has included themes like Simple, Series and Quantum statistical mechanics in his Statistical mechanics study. His work deals with themes such as Upper and lower bounds, Lattice, Self-avoiding walk and Ferromagnetism, which intersect with Statistical physics. The various areas that he examines in his Coulomb study include Quantum electrodynamics, Quantum, Exponential decay and Exponential function.

- The random-walk representation of classical spin systems and correlation inequalities (281 citations)
- Self-Avoiding Walk in 5 or More Dimensions (190 citations)
- Mayer expansions and the Hamilton-Jacobi equation (159 citations)

Mathematical physics, Self-avoiding walk, Lattice, Renormalization group and Quantum mechanics are his primary areas of study. In his study, Spin model is inextricably linked to Coupling constant, which falls within the broad field of Mathematical physics. He combines subjects such as Critical dimension, Heterogeneous random walk in one dimension, Critical phenomena, Statistical physics and Function with his study of Self-avoiding walk.

His research in Lattice intersects with topics in Fermion, Boson and Combinatorics. The study incorporates disciplines such as Dimension, Renormalization, Supersymmetry, Gaussian measure and Differential form in addition to Renormalization group. His Quantum mechanics study which covers Theoretical physics that intersects with Introduction to gauge theory, Quantum gauge theory and Lattice field theory.

- Mathematical physics (34.31%)
- Self-avoiding walk (21.57%)
- Lattice (21.57%)

- Lattice (21.57%)
- Mathematical physics (34.31%)
- Self-avoiding walk (21.57%)

David C. Brydges spends much of his time researching Lattice, Mathematical physics, Self-avoiding walk, Pure mathematics and Boson. The Lattice study combines topics in areas such as Theoretical physics, Gaussian and Combinatorics. His Gaussian study combines topics in areas such as Statistical physics and Perturbation.

With his scientific publications, his incorporates both Mathematical physics and Exponent. His Self-avoiding walk research incorporates elements of Critical dimension, Renormalization group, Critical phenomena, Function and Continuous-time random walk. His work in Renormalization group covers topics such as Lattice field theory which are related to areas like Renormalization and Differential form.

- Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis (59 citations)
- Scaling Limits and Critical Behaviour of the 4-Dimensional n-Component |arphi |^4 Spin Model (51 citations)
- A Renormalisation Group Method. I. Gaussian Integration and Normed Algebras (47 citations)

- Quantum mechanics
- Mathematical analysis
- Quantum field theory

The scientist’s investigation covers issues in Self-avoiding walk, Mathematical physics, Lattice, Critical phenomena and Renormalization group. His Self-avoiding walk research is multidisciplinary, incorporating perspectives in Function, Critical dimension, Critical exponent and Coupling constant. His Mathematical physics study deals with Spin model intersecting with Renormalization and Perturbation theory.

In his study, which falls under the umbrella issue of Lattice, Fermion and Pure mathematics is strongly linked to Boson. David C. Brydges has included themes like Logarithm, Critical point and Scaling in his Critical phenomena study. His Renormalization group research focuses on subjects like Lattice field theory, which are linked to Differential form and Gaussian integral.

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 random-walk representation of classical spin systems and correlation inequalities

David Brydges;Jürg Fröhlich;Thomas Spencer.

Communications in Mathematical Physics **(1982)**

392 Citations

Self-Avoiding Walk in 5 or More Dimensions

David Brydges;Thomas Spencer.

Communications in Mathematical Physics **(1985)**

239 Citations

Mayer expansions and the Hamilton-Jacobi equation

D. C. Brydges;T. Kennedy.

Journal of Statistical Physics **(1987)**

170 Citations

Coulomb Systems at Low Density: A Review

David C. Brydges;Ph. A. Martin.

Journal of Statistical Physics **(1999)**

160 Citations

On the construction of quantized gauge fields. I. General results

David Brydges;Jürg Fröhlich;Erhard Seiler.

Annals of Physics **(1979)**

160 Citations

A rigorous approach to Debye screening in dilute classical coulomb systems

David C. Brydges.

Communications in Mathematical Physics **(1978)**

152 Citations

A new proof of the existence and nontriviality of the continuum ϕ 2 4 and ϕ 3 4 quantum field theories

David C. Brydges;Jürg Fröhlich;Alan D. Sokal.

Communications in Mathematical Physics **(1983)**

150 Citations

A new form of the Mayer expansion in classical statistical mechanics

David Brydges;Paul Federbush.

Journal of Mathematical Physics **(1978)**

136 Citations

Grad ø perturbations of massless Gaussian fields

David Brydges;Horng-Tzer Yau.

Communications in Mathematical Physics **(1990)**

130 Citations

Coulomb systems at low density

David C. Brydges;Ph. A. Martin.

arXiv: Statistical Mechanics **(1999)**

128 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of British Columbia

ETH Zurich

New York University

Eindhoven University of Technology

Harvard University

University of California, Berkeley

University of Copenhagen

Cornell University

Australian National University

K.N.Toosi University of Technology

University of California, Los Angeles

Wellcome Sanger Institute

University of Georgia

National Institutes of Health

Centre national de la recherche scientifique, CNRS

Aix-Marseille University

Northwestern University

San Diego State University

Stony Brook University

University of Cambridge

New York University

Saarland University

University of Toledo

Something went wrong. Please try again later.