18 citations · 35 across the 7 of their papers we have counts for
7 papers
The critical percolation window in growing random graphs
Joost Jorritsma, Pascal Maillard, Peter Mörters
We describe the critical window for percolation in the universality class of sparse growing random graphs. In our models, vertices arrive sequentially and connect independently to…
Generalised principal eigenvalues and global survival of branching Markov processes
Pascal Maillard, Oliver Tough
We study necessary and sufficient criteria for global survival of discrete or continuous-time branching Markov processes. We relate these to several definitions of generalised prin…
Time-inhomogeneous N-particle Branching Brownian Motion and the continuous random energy model
Alexandre Legrand, Pascal Maillard
The -particle branching Brownian motion (-BBM) is a branching Markov process which describes the evolution of a population of particles undergoing reproduction and selection.…
The all-time maximum for branching Brownian motion with absorption conditioned on long-time survival
Pascal Maillard, Jason Schweinsberg
We consider branching Brownian motion in which initially there is one particle at , particles produce a random number of offspring with mean at the time of branching event…
Moment conditions for random coefficient AR() under non-negativity assumptions
Pascal Maillard, Olivier Wintenberger
We consider random coefficient autoregressive models of infinite order (AR()) under the assumption of non-negativity of the coefficients. We develop novel methods yielding…
Point-to-point distance in first passage percolation on (tree) x Z
Itai Benjamini, Pascal Maillard
We consider first passage percolation (FPP) on T_d x Z, where T_d is the d-regular tree (d>=3). It is shown that for a fixed vertex v in the tree, the fluctuation of the distance i…
A note on stable point processes occurring in branching Brownian motion
Pascal Maillard
We call a point process on \emph{exp-1-stable} if for every with , is equal in law to , where is an independent co…