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math.PR2026
Locally finite fixed points of branching Brownian motion
Xinxin Chen, Arnab Chowdhury, Atul Shekhar +1
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 fin…
math.PR2026
Asymptotics of the Number of Components of Random Polynomial Lemniscates
Subhajit Ghosh, Koushik Ramachandran, Atul Shekhar
Consider a sequence of random polynomials , where are i.i.d. random variables distributed uniformly on the unit disc . Le…