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math.PR2025
Scaling Limit of a Stochastic Clustering Model on
Partha S. Dey, S. Rasoul Etesami, Aditya S. Gopalan
We consider an infinite-dimensional stochastic clustering model on . In discrete time, each point of a unit-intensity simple point process moves halfway toward either o…
math.PR2024
Network evolution with mesoscopic delay
Sayan Banerjee, Shankar Bhamidi, Partha Dey +1
Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these syste…
math.PR2024
Network evolution with Macroscopic Delays: asymptotics and condensation
Sayan Banerjee, Shankar Bhamidi, Partha Dey +1
Preferential attachment models typically assume that each arriving vertex observes the current network before choosing its connection. Motivated by distributed systems and social n…