985 citations · 4k across the 51 of their papers we have counts for
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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…
Compactly Supported Wannier Functions and Strictly Local Projectors
Pratik Sathe, Fenner Harper, Rahul Roy
Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponen…
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…
Asymptotically optimal test for dependent multiple testing set up
Rahul Roy, Subir Kumar Bhandari
In this paper we explore the behaviour of dependent test statistics for testing of multiple hypothesis . To keep simplicity, we have considered a mixture normal model with equicorr…