QUANTUM OPERATORS IN CLASSICAL PROBABILITY-THEORY .2. THE CONCEPT OF DUALITY IN INTERACTING PARTICLE-SYSTEMS

Authors
SUDBURY A LLOYD P
Citation
A. Sudbury et P. Lloyd, QUANTUM OPERATORS IN CLASSICAL PROBABILITY-THEORY .2. THE CONCEPT OF DUALITY IN INTERACTING PARTICLE-SYSTEMS, Annals of probability, 23(4), 1995, pp. 1816-1830
Citations number
10
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
23
Issue
4
Year of publication
1995
Pages
1816 - 1830
Database
ISI
SICI code
0091-1798(1995)23:4<1816:QOICP.>2.0.ZU;2-F
Abstract
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 coalesc ing and annihilating duality as special cases. This enables new result s for the branching annihilating random walk and the biased annihilati ng branching process to be derived.