36 citations · 68 across the 4 of their papers we have counts for
4 papers
Preservation of log-concavity on summation
Oliver Johnson, Christina Goldschmidt
We extend Hoggar's theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still…
Random recursive trees and the Bolthausen-Sznitman coalescent
Christina Goldschmidt, James B. Martin
We describe a representation of the Bolthausen-Sznitman coalescent in terms of the cutting of random recursive trees. Using this representation, we prove results concerning the fin…
Critical random hypergraphs: The emergence of a giant set of identifiable vertices
Christina Goldschmidt
We consider a model for random hypergraphs with identifiability, an analogue of connectedness. This model has a phase transition in the proportion of identifiable vertices when the…
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…