6 papers
Gaussian and non-Gaussian fluctuations in mean field stable matchings
Daniel Ahlberg, Maria Deijfen, Tiffany Y. Y. Lo
Two sets of objects of size are to be matched to each other based on i.i.d.\ costs associated to every pair of objects. Objects prefer to be matched as cheaply as possible, and…
Isolated vertices in two duplication-divergence models with edge deletion
Tiffany Y. Y. Lo, Gesine Reinert, Ruihua Zhang
Duplication-divergence models are a popular model for the evolution of gene and protein interaction networks. However, existing duplication-divergence models often neglect realisti…
Properties of the `friend of a friend' model for network generation
Tiffany Y. Y. Lo, Watson Levens, David J. T. Sumpter
The way in which a social network is generated, in terms of how individuals attach to each other, determines the properties of the resulting network. Here we study an intuitively a…
On the rate of normal approximation for Poisson continuum percolation
Tiffany Y. Y. Lo, Aihua Xia
It is known that the number of points in the largest cluster of a percolating Poisson process restricted to a large finite box is asymptotically normal. In this note, we establish…
The expected degree distribution in transient duplication divergence models
A. D. Barbour, Tiffany Y. Y. Lo
We study the degree distribution of a randomly chosen vertex in a duplication--divergence graph, under a variety of different generalizations of the basic model of Bhan, Galas and…
Weak local limit of preferential attachment random trees with additive fitness
Tiffany Y. Y. Lo
We consider linear preferential attachment random trees with additive fitness, where fitness is defined as the random initial vertex attractiveness. We show that when the fitness d…