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Quantum Operators in Classical Probability Theory: II. The Concept of Duality in Interacting Particle Systems

Quantum Operators in Classical Probability Theory: II. The Concept of Duality in Interacting Particle Systems

Duality has proved to be a powerful tool in the theory of interacting particle systems. The approach in this paper is algebraic rather than via Harris diagrams. A form of duality is found which includes coalescing and annihilating duality as special cases. This enables new results for the branching annihilating …