985 citations · 4k across the 51 of their papers we have counts for
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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…
A drainage network with dependence and the Brownian web
Azadeh Parvaneh, Afshin Parvardeh, Rahul Roy
We study a system of coalescing random walks on the integer lattice in which the walk is oriented in the -th direction and follows certain specified rules. We f…
Voter and Majority Dynamics with Biased and Stubborn Agents
Arpan Mukhopadhyay, Ravi R. Mazumdar, Rahul Roy
We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An…
On a model of evolution of subspecies
Rahul Roy, Hideki Tanemura
Ben-Ari and Schinazi (2016) introduced a stochastic model to study `virus-like evolving population with high mutation rate'. This model is a birth and death model with an individua…
Criticality and covered area fraction in confetti and Voronoi percolation
Partha Pratim Ghosh, Rahul Roy
Using the randomized algorithm method developed by Duminil-Copin, Raoufi and Tassion (2019b), we exhibit sharp phase transition for the confetti percolation model. This provides an…
Hack's law in a drainage network model: A Brownian web approach
Rahul Roy, Kumarjit Saha, Anish Sarkar
Hack [Studies of longitudinal stream profiles in Virginia and Maryland (1957). Report], while studying the drainage system in the Shenandoah valley and the adjacent mountains of Vi…