106 citations · 431 across the 57 of their papers we have counts for
7 papers · 1 filter
High degrees of random recursive trees
Louigi Addario-Berry, Laura Eslava
For , let be a random recursive tree on the vertex set . Let be the degree of vertex in , that is, the number of…
Random walks colliding before getting trapped
Louigi Addario-Berry, Roberto I. Oliveira, Yuval Peres +1
Let be the transition matrix of a finite, irreducible and reversible Markov chain. We say the continuous time Markov chain has transition matrix and speed if it jum…
Exceptional rotations of random graphs: a VC theory
Louigi Addario-Berry, Shankar Bhamidi, Sébastien Bubeck +3
In this paper we explore maximal deviations of large random structures from their typical behavior. We introduce a model for a high-dimensional random graph process and ask analogo…
Diameter and Stationary Distribution of Random -out Digraphs
Louigi Addario-Berry, Borja Balle, Guillem Perarnau
Let be a random -out regular directed multigraph on the set of vertices . In this work, we establish that for every , there exists such…
A probabilistic approach to block sizes in random maps
Louigi Addario-Berry
We present a probabilistic approach to the core-size in random maps, which yields straightforward and singularity analysis-free proofs of some results of Banderier, Flajolet, Schae…
Joint convergence of random quadrangulations and their cores
Louigi Addario-Berry, Yuting Wen
We show that a uniform quadrangulation, its largest 2-connected block, and its largest simple block jointly converge to the same Brownian map in distribution for the Gromov-Hausdor…
The front location in BBM with decay of mass
Louigi Addario-Berry, Sarah Penington
We augment standard branching Brownian motion by adding a competitive interaction between nearby particles. Informally, when particles are in competition, the local resources are i…