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math.PR2023
How fast do rumours spread?
Rishideep Roy, Kumarjit Saha
We study a rumour propagation model along the lines of \cite{lebensztayn2008disk} as a long-range percolation model on . We begin by showing a sharp phase transition-type behav…
math.PR2023
Scaling limit of a drainage network model on perturbed lattice
Rahul Roy, Kumarjit Saha, Anish Sarkar
Study of random networks generally requires the nodes to be independently and uniformly distributed such as a Poisson point process. In this work, we venture beyond this standard p…