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
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经典概率论中的量子算子：II。
DOI：
10.1214/aop/1176987804
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发表时间：
1995
影响因子：
2.3
通讯作者：
Peter Lloyd
中科院分区：
文献类型：
--
作者：
Aidan Sudbury;Peter Lloyd
对偶性已被证明是相互作用粒子系统理论中的一个有力工具。本文采用的方法是代数方法，而非通过哈里斯图。我们发现了一种对偶形式，它将聚并对偶和湮灭对偶作为特殊情况包含在内。这使得能够推导出分支湮灭随机游走和有偏湮灭分支过程的新结果。
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.