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math.PR2007
Random graphs with forbidden vertex degrees
Geoffrey Grimmett, Svante Janson
We study the random graph G_{n,λ/n} conditioned on the event that all vertex degrees lie in some given subset S of the non-negative integers. Subject to a certain hypothesis on S,…
math.PR2007
Space-time percolation
Geoffrey Grimmett
The contact model for the spread of disease may be viewed as a directed percolation model on $\ZZ \times \RR$ in which the continuum axis is oriented in the direction of increasing…