4 papers · 1 filter
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…