17 citations · 28 across the 19 of their papers we have counts for
4 papers · 1 filter
The coalescent structure of uniform and Poisson samples from multitype branching processes
Samuel G. G. Johnston, Amaury Lambert
We introduce a Poissonization method to study the coalescent structure of uniform samples from branching processes. This method relies on the simple observation that a uniform samp…
Berry-Esseen bounds for random projections of -balls
Samuel G. G. Johnston, Joscha Prochno
In this work we study the rate of convergence in the central limit theorem for the Euclidean norm of random orthogonal projections of vectors chosen at random from an -ba…
Scaling limits for non-intersecting polymers and Whittaker measures
Samuel G. G. Johnston, Neil O'Connell
We study the partition functions associated with non-intersecting polymers in a random environment. By considering paths in series and in parallel, the partition functions carry na…
Faà di Bruno's formula and inversion of power series
Samuel G. G. Johnston, Joscha Prochno
Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued functions. In this paper we prove a multivariate and synthesized version of Faà…