4 papers
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 …
Flimsy Spaces
Robin Khanfir, Béranger Seguin
We study -flimsy spaces, which are the topological spaces that remain connected when removing fewer than points but become disconnected when removing exactly points. We…
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…