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math.PR2024
Local weak convergence and its applications
Sayan Banerjee, Shankar Bhamidi, Jianan Shen +1
Motivated in part by understanding average case analysis of fundamental algorithms in computer science, and in part by the wide array of network data available over the last decade…
math.PR2023
PageRank Nibble on the sparse directed stochastic block model
Sayan Banerjee, Prabhanka Deka, Mariana Olvera-Cravioto
We present new results on community recovery based on the PageRank Nibble algorithm on a sparse directed stochastic block model (dSBM). Our results are based on a characterization…
math.PR2022
Long Time Behavior of Finite and Infinite Dimensional Reflected Brownian Motions
Sayan Banerjee, Amarjit Budhiraja
This article presents a review of some old and new results on the long time behavior of reflected diffusions. First, we present a summary of prior results on construction, ergodici…