Antoine Aurillard

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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 $W$ 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 $μ$ is critical and attracted to an $α$ -stable law. Th…

math.PR2024

Rotating random trees with Skorokhod's $M_{1}$ topology

Antoine Aurillard

We extend the classical coding of measured $R$ -trees by continuous excursion-type functions to càdlàg excursion-type functions through the notion of parametric representati…

Subordination of discrete snakes

Recurrence and capacity of stable branching random walks

Rotating random trees with Skorokhod's M1​ topology

Rotating random trees with Skorokhod's $M_{1}$ topology