William da Silva

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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 $LIS (σ_{n})$ of the longest increasing subsequence of a permutation $σ_{n}$ of size $n$ sampled from the Brownian sepa…

math.PR2025

Growth-fragmentations, Brownian cone excursions and SLE(6) explorations of a quantum disc

William Da Silva, Ellen Powell, Alexander Watson

The aim of this article is to present a growth-fragmentation process naturally embedded in a Brownian excursion from boundary to apex in a cone of angle $2 π /3$ . This growth-fragmen…