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math.PR2026
Noise Sensitivity Governed by Continuous-Time Random Walks on the Symmetric Group
Gideon Amir, Subhajit Ghosh
We study the noise sensitivity of Boolean functions on the symmetric group , where noise is induced by running a continuous-time Markov chain on . We investigate the nois…
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…