4 papers · 1 filter
Scaling limit of the range of tree-valued branching random walks in random environmen
Thomas Duquesne, Robin Khanfir
We study a branching random walk (BRW) taking its values in a random tree $\bT$ (seen as a family tree) with an infinite line of ancestors that is a variant of a supercritical Galt…
The largest common subtree of two random trees
Omer Angel, Caelan Atamanchuk, Anna Brandenberger +2
We study the size and structure of the largest common subtree (LCS) between two independent Bienaymé trees conditioned to have size . When the trees are critical with finite …
Tight universal bounds on the height times the width of random trees
Serte Donderwinkel, Robin Khanfir
We obtain assumption-free, non-asymptotic, uniform bounds on the product of the height and the width of uniformly random trees with a given degree sequence, conditioned Bienaymé tr…
Time and place of the maximum for one-dimensional diffusion bridges and meanders
Robin Khanfir
For three constrained Brownian motions, the excursion, the meander, and the reflected bridge, the densities of the maximum and of the time to reach it were expressed as double seri…