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math.PR2026
Coupling some conditioned L{é}vy trees with the Kesten tree
Romain Abraham, Jean-François Delmas
We consider locally compact L{é}vy trees conditioned to be large, with respect to different criterion: its height, its maximal ''size'' vertex and its total ''mass''. In the criti…
math.PR2026
The -th nearest neighbor random walk on a Poisson point process gets trapped
Anne-Laure Basdevant, David Coupier, Jean-Baptiste Gouéré +1
The -th nearest neighbor random walk on a homogeneous Poisson point process on (), starts at the origin and at each step picks its next P…