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The noisy voter-exclusion process

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  • Jung, Paul

Abstract

The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant measures. Adding spontaneous births and deaths to the two processes still allows one to use the dual process to obtain information concerning the original process. This paper introduces the noisy voter-exclusion process which generalizes these processes by allowing for all of these interactions to take place. The dual process is used to characterize its invariant measures under various circumstances. Finally, an ergodic theorem for a related process is proved using the coupling method.

Suggested Citation

  • Jung, Paul, 2005. "The noisy voter-exclusion process," Stochastic Processes and their Applications, Elsevier, vol. 115(12), pages 1979-2005, December.
  • Handle: RePEc:eee:spapps:v:115:y:2005:i:12:p:1979-2005
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    References listed on IDEAS

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    1. Granovsky, Boris L. & Madras, Neal, 1995. "The noisy voter model," Stochastic Processes and their Applications, Elsevier, vol. 55(1), pages 23-43, January.
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