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Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model
Open accessAbstract
A theorem exhibiting the duality between certain infinite systems of interacting stochastic processes and a type of branching process is proved. This duality is then used to study the ergodic properties of the infinite system. In the case of the vector model a complete understanding of the ergodic behavior is obtained.
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Cited by
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Metadata
- Authors
- Holley, R. A., & Liggett, T. M.
- Venue
- The Annals of Probability
- Publisher
- Institute of Mathematical Statistics
- Published
- 1975-08-01
- Volume
- 3
- Issue
- 4
- ISSN
- 0091-1798 (ISSN-L)
- OpenAlex
- W1971842701
- Cited by
- 1,109
- References
- 0
- FWCI
- 6.40
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Holley, R. A., & Liggett, T. M. (1975). Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model. The Annals of Probability. https://doi.org/10.1214/aop/1176996306
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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