4 papers
math.PR2026
Local times in critical generations of a random walk in random environment on trees
Alexis Kagan
We consider a null-recurrent randomly biased walk on a Galton-Watson tree in the (sub)-diffusive regime and we prove that properly renormalized, the local time in a cr…
math.PR2026
The leftmost particle of branching subordinators
Alexis Kagan, Grégoire Véchambre
We define a family of continuous-time branching particle systems on the non-negative real line, called branching subordinators, where particles move as independent subordinators. E…
math.PR2025
Coalescence in small generations for the diffusive randomly biased walk on Galton-Watson trees
Alexis Kagan
We investigate the range of the diffusive biased walk on a Galton-Watson tree in random environment, that is to say the sub-tree of $\math…
math.PR2024
Genealogy in critical generations of a diffusive random walk in random environment on trees
Alexis Kagan
We consider the range , the tree made up of visited vertices by a diffusive null-recurrent randomly biased walk on a Galton-Watson tree up to the…