72 citations · 73 across the 2 of their papers we have counts for
4 papers
Structure of large random hypergraphs
R. W. R. Darling, J. R. Norris
The theme of this paper is the derivation of analytic formulae for certain large combinatorial structures. The formulae are obtained via fluid limits of pure jump-type Markov proce…
Strong approximation for the supermarket model
Malwina J. Luczak, James Norris
We prove three strong approximation theorems for the `supermarket' or `join the shortest queue' model -- a law of large numbers, a jump process approximation and a central limit th…
Structure of large random hypergraphs
R. W. R. Darling, J. R. Norris
The theme of this paper is the derivation of analytic formulae for certain large combinatorial structures. The formulae are obtained via fluid limits of pure jump type Markov proce…
Smoluchowski's coagulation equation: uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent
James R. Norris
Sufficient conditions are given for existence and uniqueness in Smoluchowski's coagulation equation, for a wide class of coagulation kernels and initial mass distributions. An exam…