Souvik Roy

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math.PR2025

Generalized percolation games on the $2$ -dimensional square lattice, and ergodicity of associated probabilistic cellular automata

Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1

Each vertex of the infinite $2$ -dimensional square lattice graph is assigned, independently, a label that reads trap with probability $p$ , target with probability $q$ , and open wit…

math.PR2025

Percolation games on rooted, edge-weighted random trees

Sayar Karmakar, Moumanti Podder, Souvik Roy +1

Consider a rooted Galton-Watson tree $T$ , to each of whose edges we assign, independently, a weight that equals $+ 1$ with probability $p_{1}$ , $0$ with probability $p_{0}$ and $- 1$ …

Generalized percolation games on the 2-dimensional square lattice, and ergodicity of associated probabilistic cellular automata

Percolation games on rooted, edge-weighted random trees

Generalized percolation games on the $2$ -dimensional square lattice, and ergodicity of associated probabilistic cellular automata