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Does a Single Zealot Affect an Infinite Group of Voters?
Open accessAbstract
A method for studying the exact properties of a class of inhomogeneous stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a "zealot," an individual allowed to favor an "opinion." We compute exactly the magnetization of this model and find that in one (1D) and two dimensions (2D) it evolves, algebraically ( approximately t(-1/2)) in 1D and much slower ( approximately 1/ln(t) in 2D, towards the unanimity state chosen by the zealot. In higher dimensions the stationary magnetization is no longer uniform: the zealot cannot influence all the individuals. The implications to other physical problems are also pointed out.
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Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
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Metadata
- Authors
- Mobilia, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-07-11
- Volume
- 91
- Issue
- 2
- Pages
- 028701-028701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1969871566
- Cited by
- 334
- References
- 1
- FWCI
- 2.12
- Type
- journal article
- Language
- en
- Open access
- green
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