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20072026
most citedOn combinatorial testing problems

106 citations · 431 across the 57 of their papers we have counts for

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math.PR2026

Symmetric Cooperative Motion in Higher Dimensions

Louigi Addario-Berry, Gavin Barill, Hannah Cairns +1

We prove a distributional convergence result for a multidimensional version of symmetric cooperative motion which was introduced and studied in one dimension in \cite{HRW, SCM1}. O…

math.PR2026

What is The Probability That A Random Graph With A Given Degree Sequence is Connected?

Louigi Addario-Berry, Bruce Reed, Dao Chen Yuan

An -tuple is a \emph{feasible degree sequence} if there is a graph on such that has degree . Any such graph will have $m=\sum_{i=…

math.PR2025

On exponentially height-penalized random trees

Louigi Addario-Berry, Benoît Corsini, Neeladri Maitra +1

Given and , a $\textit{$μn$}$ is a random plane tree with vertices with law given by $…

math.PR2025

Kingman's coalescent on a random graph

Louigi Addario-Berry, Caelan Atamanchuk, Maxwell Kaye

We introduce a generalization of Kingman's coalescent on that we call the Kingman coalescent on a graph . Specifically, we generalize a forest valued representat…

math.PR2025

Revisiting scaling limits for critical inhomogeneous random graphs with finite third moments

Louigi Addario-Berry, Sasha Bell, Prabhanka Deka +4

We consider the rank-1 inhomogeneous random graph in the Brownian regime in the critical window. Aldous studied the weights of the components, and showed that this ordered sequence…

math.PR2025

Scaling limits of multitype Bienaymé trees

Louigi Addario-Berry, Philipp Beltran, Benedikt Stufler +1

We consider critical multitype Bienaymé trees that are either irreducible or possess a critical irreducible component with attached subcritical components. These trees are studied…