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math.PR2025
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 $…
math.PR2025
Ising model on preferential attachment models
Remco van der Hofstad, Rounak Ray
We study the Ising model on affine preferential attachment models with general parameters. We identify the thermodynamic limit of several quantities, arising in the large graph lim…
math.PR2024
Stochastic processes on preferential attachment models
Rounak Ray
In real life, networks are dynamic in nature; they grow over time and often exhibit power-law degree sequences. To model the evolving structure of the internet, Barabási and Albert…