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math.PR2020
On Conditioning Brownian Particles to Coalesce
Vitalii Konarovskyi, Victor Marx
We introduce the notion of a conditional distribution to a zero-probability event in a given direction of approximation, and prove that the conditional distribution of a family of…
math.PR2020
Stochastic Block Model in a new critical regime and the Interacting Multiplicative Coalescent
Vitalii Konarovskyi, Vlada Limic
This work exhibits a novel phase transition for the classical stochastic block model (SBM). In addition we study the SBM in the corresponding near-critical regime, and find the sca…