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math.PR2022
Ergodicity of a generalized probabilistic cellular automaton with parity-based neighbourhoods
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
We study a one-dimensional generalized probabilistic cellular automaton with universe , alphabet , parameters and such that $0…
math.PR2022
On a class of probabilistic cellular automata with size- neighbourhood and their applications in percolation games
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
Different versions of percolation games on , with parameters and that indicate, respectively, the probability with which a site in is label…
math.PR2022
Combinatorial games on Galton-Watson trees involving several-generation-jump moves
Moumanti Podder, Dhruv Bhasin
We study the -jump normal and -jump misère games on rooted Galton-Watson trees, expressing the probabilities of various outcomes of these games as specific fixed points of ce…