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pro vyhledávání: '"Geoffrey R. Grimmett"'
Autor:
Geoffrey R. Grimmett
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783031122439
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7814a7ec7fbdb2f878ed3e5ba2d9cca
https://doi.org/10.1007/978-3-031-12244-6_42
https://doi.org/10.1007/978-3-031-12244-6_42
Autor:
Geoffrey R. Grimmett, Zhongyang Li
Two stochastic models of susceptible/infected/removed (SIR) type are introduced for the spread of infection through a spatially-distributed population. Individuals are initially distributed at random in space, and they move continuously according to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4099c49c4cde6a0aa74b921c849fd277
The existence (or not) of infinite clusters is explored for two stochastic models of intersecting line segments in $d \ge 2$ dimensions. Salient features of the phase diagram are established in each case. The models are based on site percolation on $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6eebc89d354cc7200e3df8b99ca0ebd
http://arxiv.org/abs/1908.07203
http://arxiv.org/abs/1908.07203
Autor:
Geoffrey R Grimmett, Zhongyang Li
The 1-2 model on the hexagonal lattice is a model of statistical mechanics in which each vertex is constrained to have degree either $1$ or $2$. There are three types of edge, and three corresponding parameters $a$, $b$, $c$. It is proved that, when
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e00618a5e65a03ca0bad0a1c03e8f28
https://www.repository.cam.ac.uk/handle/1810/265191
https://www.repository.cam.ac.uk/handle/1810/265191
Autor:
Geoffrey R. Grimmett
Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex phys
Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shape-memory metals, magnetic materials, and electro-rheological fluids are all examples of materials where an understanding
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783540631903
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3115ab21d0e2315f267e423a39925ebc
https://doi.org/10.1007/bfb0092617
https://doi.org/10.1007/bfb0092617
Autor:
Geoffrey R. Grimmett
Therandom-clustermodelwasinventedbyCees[Kees]FortuinandPietKasteleyn around 1969 as a uni?cation of percolation, Ising, and Potts models, and as an extrapolation of electrical networks. Their original motivation was to harmonize the series and parall