Thomas Budzinski

collaborators

2 papers

math.PR2026

Large deviation principles for pattern-avoiding permutations, and limit shapes for constrained Mallows permutations

Thomas Budzinski, Victor Dubach, Valentin FÃ©ray +2

We study Mallows random permutations conditioned to avoid a given pattern $I^\pm$ of length~ $3$ . When the bias parameter is of the form $e^{I^^{2} / n}$ , we prove that these permutations co…

math.PR2025

The longest increasing subsequence of Brownian separable permutons

Arka Adhikari, Jacopo Borga, Thomas Budzinski +2

We establish a scaling limit result for the length $LIS (I ¨ _{n})$ of the longest increasing subsequence of a permutation $I ¨ _{n}$ of size $n$ sampled from the Brownian se…