Annals of Probability
- Ann. Probab.
- Volume 23, Number 4 (1995), 1816-1830.
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 random walk and the biased annihilating branching process to be derived.
Ann. Probab., Volume 23, Number 4 (1995), 1816-1830.
First available in Project Euclid: 19 April 2007
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Sudbury, Aidan; Lloyd, Peter. Quantum Operators in Classical Probability Theory: II. The Concept of Duality in Interacting Particle Systems. Ann. Probab. 23 (1995), no. 4, 1816--1830. doi:10.1214/aop/1176987804. https://projecteuclid.org/euclid.aop/1176987804
- Part I: Peter Lloyd, Aidan Sudbury, Peter Donnelly. Quantum operators in classical probability theory. I. "Quantum spin'' techniques and the exclusion model of diffusion. Stochastic Proccess. Appl., vol. 61, no. 2, 205--221.
- Part IV: Aidan Sudbury, Peter Lloyd. Quantum operators in classical probability theory. IV. Quasi-duality and thinnings of interacting particle systems.