2014 - Fellow of the Royal Society, United Kingdom
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.
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.
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.
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.
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Probability and random processes
Geoffrey R. Grimmett;David Stirzaker.
Probability and Random Processes
David Applebaum;Geoffrey Grimmett;David Stirzaker;Marek Capiński.
The Mathematical Gazette (2002)
The Random-Cluster Model
On colouring random graphs
G. R. Grimmett;C. J. H. McDiarmid.
Mathematical Proceedings of the Cambridge Philosophical Society (1975)
The Critical Contact Process Dies Out
Carol Bezuidenhout;Geoffrey Grimmett.
Annals of Probability (1990)
THE SHORTEST-PATH PROBLEM FOR GRAPHS WITH RANDOM ARC-LENGTHS
Alan M. Frieze;Geoffrey R. Grimmett.
Discrete Applied Mathematics (1985)
Probability: An Introduction
Geoffrey Grimmett;D. J. A Welsh.
A THEOREM ABOUT RANDOM FIELDS
G. R. Grimmett.
Bulletin of The London Mathematical Society (1973)
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)
Weak limits for quantum random walks
Geoffrey Grimmett;Svante Janson;Petra F. Scudo;Petra F. Scudo.
Physical Review E (2004)
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