10 citations · 16 across the 3 of their papers we have counts for
3 papers
math.PR2004★ 1 cited
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…
math.PR2004★ 5 cited
Essential edges in Poisson random hypergraphs
Christina Goldschmidt, James Norris
Consider a random hypergraph on a set of N vertices in which, for k between 1 and N, a Poisson(N beta_k) number of hyperedges is scattered randomly over all subsets of size k. We c…
math.PR2003★ 10 cited
Continuous and discontinuous phase transitions in hypergraph processes
R. W. R. Darling, D. A. Levin, J. R. Norris
Let V denote a set of N vertices. To construct a "hypergraph process", create a new hyperedge at each event time of a Poisson process; the cardinality K of this hyperedge is random…