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- Geoffrey Grimmett

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
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
39
Citations
12,808
178
World Ranking
1432
National Ranking
103

2014 - Fellow of the Royal Society, United Kingdom

- Quantum mechanics
- Mathematical analysis
- Combinatorics

His primary scientific interests are in Combinatorics, Statistical physics, Percolation, Discrete mathematics and Stochastic process. The various areas that he examines in his Combinatorics study include Distribution, Potts model, Probability theory and Uniqueness. His research in Statistical physics intersects with topics in Multivariate random variable, Marginal distribution, Critical probability, Random function and Random element.

The Percolation study combines topics in areas such as Mathematical analysis, Continuum percolation theory, Percolation critical exponents, Almost surely and Random walk. His studies deal with areas such as Limit set, Ball and Random variable as well as Discrete mathematics. His work carried out in the field of Stochastic process brings together such families of science as Probability and statistics, Algebra of random variables, Markov process and Ising model.

- Probability and random processes (2189 citations)
- Probability and Random Processes (1074 citations)
- The Random-Cluster Model (356 citations)

Geoffrey Grimmett mainly investigates Combinatorics, Discrete mathematics, Percolation, Statistical physics and Ising model. Vertex, Cayley graph, Connective constant, Graph and Vertex are the primary areas of interest in his Combinatorics study. In his research, Directed percolation is intimately related to Continuum percolation theory, which falls under the overarching field of Discrete mathematics.

His Percolation study combines topics in areas such as Lipschitz continuity, Pure mathematics, Surface, Phase and Cluster. His Statistical physics research is multidisciplinary, incorporating perspectives in Stochastic process, Critical probability, Random walk and Critical exponent. His Ising model research includes elements of Phase transition, Quantum, Quantum entanglement and Hexagonal lattice.

- Combinatorics (52.63%)
- Discrete mathematics (33.77%)
- Percolation (17.98%)

- Combinatorics (52.63%)
- Cayley graph (9.65%)
- Discrete mathematics (33.77%)

The scientist’s investigation covers issues in Combinatorics, Cayley graph, Discrete mathematics, Connective constant and Ising model. Combinatorics is closely attributed to Stochastic modelling in his study. His Cayley graph research incorporates themes from Cubic graph, Vertex-transitive graph and Self-avoiding walk.

He studied Connective constant and Height function that intersect with Weight function, Finitely-generated abelian group and Continuity theorem. His work investigates the relationship between Ising model and topics such as Hexagonal lattice that intersect with problems in Correlation function and Vertex. His Work research focuses on Statistical physics and how it connects with Probability theory.

- Probability on Graphs (24 citations)
- Bounds on connective constants of regular graphs (22 citations)
- Lipschitz Percolation (14 citations)

- Quantum mechanics
- Mathematical analysis
- Combinatorics

His main research concerns Combinatorics, Connective constant, Graph, Cayley graph and Vertex. Geoffrey Grimmett interconnects Statistical mechanics and Lattice in the investigation of issues within Combinatorics. His Graph study is concerned with the field of Discrete mathematics as a whole.

In his study, Higman group, Regular graph and Elementary amenable group is strongly linked to Self-avoiding walk, which falls under the umbrella field of Cayley graph. His work in Vertex addresses subjects such as Cubic graph, which are connected to disciplines such as Transitive relation, Golden ratio and Betti number. He has included themes like Height function, Exponential growth, Ball and Amenable group in his Unimodular matrix study.

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.

Probability and random processes

Geoffrey R. Grimmett;David Stirzaker.

**(1982)**

6159 Citations

Probability and Random Processes

David Applebaum;Geoffrey Grimmett;David Stirzaker;Marek Capiński.

The Mathematical Gazette **(2002)**

1724 Citations

The Random-Cluster Model

Geoffrey Grimmett.

**(2006)**

478 Citations

On colouring random graphs

G. R. Grimmett;C. J. H. McDiarmid.

Mathematical Proceedings of the Cambridge Philosophical Society **(1975)**

465 Citations

The Critical Contact Process Dies Out

Carol Bezuidenhout;Geoffrey Grimmett.

Annals of Probability **(1990)**

370 Citations

THE SHORTEST-PATH PROBLEM FOR GRAPHS WITH RANDOM ARC-LENGTHS

Alan M. Frieze;Geoffrey R. Grimmett.

Discrete Applied Mathematics **(1985)**

329 Citations

Probability: An Introduction

Geoffrey Grimmett;D. J. A Welsh.

**(1986)**

328 Citations

A THEOREM ABOUT RANDOM FIELDS

G. R. Grimmett.

Bulletin of The London Mathematical Society **(1973)**

279 Citations

The supercritical phase of percolation is well behaved

Geoffrey Richard Grimmett;J. M. Marstrand.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1990)**

273 Citations

Weak limits for quantum random walks

Geoffrey Grimmett;Svante Janson;Petra F. Scudo;Petra F. Scudo.

Physical Review E **(2004)**

247 Citations

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