Dhruv Bhasin

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20202024

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math.CO2024

A Cubical Perspective on Complements of Union-Closed Families of Sets

Dhruv Bhasin

Complements of union-closed families of sets, over a finite ground set, are known as simply rooted families of sets. Cubical sets are widely studied topological objects having appl…

math.PR2024

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…

A Cubical Perspective on Complements of Union-Closed Families of Sets

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

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