Arnab Chowdhury | Searcharxiv

arXiv2026

Locally finite fixed points of branching Brownian motion

We give a full characterization of the fixed points of Branching Brownian motion with critical and supercritical drifts under no additional assumptions besides it being locally finite almost surely. In particular, we do not assume finite intensity (Kabluchko, 2012) or the finite top particle (Chen-Garban-Shekhar, 2023) conditions. We also give a full characterization of the domain of attraction of the fixed points of BBM.

math.PR↗

arXiv2023

Large Deviation Principle for complex solution to squared Bessel SDE

Complex solutions to squared Bessel SDEs appear naturally in relation to Schramm-Loewner evolutions. We prove a large deviation principle for such solutions as the dimension parameter tends to $-\infty$.

math.PR↗