1 citations · 1 across the 6 of their papers we have counts for
7 papers
Network evolution with self-reinforcement
Shankar Bhamidi, Remco van der Hofstad, Frank den Hollander +1
We study a new class of preferential attachment trees with \emph{self-reinforcement}. At each time, each vertex is assigned a weight equal to the cumulative sum over past times of…
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 $…
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…
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…
Percolation on preferential attachment models
Rajat Subhra Hazra, Remco van der Hofstad, Rounak Ray
We study the percolation phase transition on preferential attachment models, in which vertices enter with edges and attach proportionally to their degree plus . We identify…
Universality of the local limit of preferential attachment models
Alessandro Garavaglia, Rajat Subhra Hazra, Remco van der Hofstad +1
We study preferential attachment models where vertices enter the network with i.i.d. random numbers of edges that we call the out-degree. We identify the local limit of such models…
Maximum of the membrane model on regular trees
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra +1
The discrete membrane model is a Gaussian random interface whose inverse covariance is given by the discrete biharmonic operator on a graph. In literature almost all works have con…