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math.PR2024
Percolation games on rooted, edge-weighted random trees
Sayar Karmakar, Moumanti Podder, Souvik Roy +1
Consider a rooted Galton-Watson tree , to each of whose edges we assign, independently, a weight that equals with probability , with probability and …
math.PR2024
Generalized percolation games on the -dimensional square lattice, and ergodicity of associated probabilistic cellular automata
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
Each vertex of the infinite -dimensional square lattice graph is assigned, independently, a label that reads trap with probability , target with probability , and open wit…
math.PR2020
Uniqueness of communities in regular stochastic block models
Sayar Karmakar, Moumanti Podder
This paper studies the regular stochastic block model comprising \emph{several} communities: each of the non-overlapping communities, for , possesses vertice…