4 papers · 1 filter
Non-equilibrium coagulation processes and subcritical percolation on evolving networks
Sayan Banerjee, Shankar Bhamidi, Remco van der Hofstad +1
We investigate percolation on growing networks where the evolution of connected components resembles a non-equilibrium version of the multiplicative coalescent. The supercritical $…
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…
Attribute network models, stochastic approximation, and network sampling and ranking algorithms
Nelson Antunes, Sayan Banerjee, Shankar Bhamidi +1
We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by th…
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…