Quantum operators in classical probability theory .2. The concept of duality in interacting particle systems

成果类型:
Article
署名作者:
Sudbury, A; Lloyd, P
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/aop/1176987804
发表日期:
1995
页码:
1816-1830
关键词:
摘要:
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.