36 citations · 68 across the 4 of their papers we have counts for
5 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…
Dual random fragmentation and coagulation and an application to the genealogy of Yule processes
Jean Bertoin, Christina Goldschmidt
The purpose of this work is to describe a duality between a fragmentation associated to certain Dirichlet distributions and a natural random coagulation. The dual fragmentation and…
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…