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math.PR2026

Scaling limits of critical FK-decorated random planar maps with

William Da Silva, Xingjian Hu, Ellen Powell +1

We establish the first scaling limit for FK()-weighted planar maps in the critical case , resolving a problem that has remained open since Sheffield's seminal work arXiv:11…

math.PR2025

Fluctuations for diameter and perimeter of convex hulls of multiple random walks

Wojciech Cygan, Tomislav Kralj, Nikola Sandrić +3

We study the diameter and perimeter of the convex hull generated by finitely many independent planar random walks whose increments have finite second moments. The large-time fluctu…