3 papers
math.PR2026
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.…
math.PR2025
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…
math.PR2025
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…