3 papers
math.PR2026
Subordination of discrete snakes
Antoine Aurillard, Mathieu Mourichoux
Motivated by applications in random geometry, we investigate the notion of subordination of snakes in the discrete setup. More precisely, given a random walk indexed by a tree…
math.PR2026
Recurrence and capacity of stable branching random walks
Antoine Aurillard
We study the linear growth rate of the range of size-conditioned Branching Random Walks (BRW) when the offspring distribution is critical and attracted to an -stable law. Th…
math.PR2024
Rotating random trees with Skorokhod's topology
Antoine Aurillard
We extend the classical coding of measured -trees by continuous excursion-type functions to càdlàg excursion-type functions through the notion of parametric representati…