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math.PR2026
The longest increasing subsequences of Luce permutations and permutons
Jacopo Borga, Victor Dubach
We investigate the longest increasing subsequences (LIS) of random permutations distributed under the Luce model with weights . Our first main r…
math.PR2026
Limits of descent-biased trees
Victor Dubach, Paul Thévenin, Stephan Wagner
We investigate scaling and local limits of random trees biased according to their number of descents. A descent in a rooted labeled tree is a parent-child pair such that the la…
math.PR2026
Large deviation principles for pattern-avoiding permutations, and limit shapes for constrained Mallows permutations
Thomas Budzinski, Victor Dubach, Valentin Féray +2
We study Mallows random permutations conditioned to avoid a given pattern of length~. When the bias parameter is of the form , we prove that these permutations conv…