Tightness of voter model interfaces

  title={Tightness of voter model interfaces},
  author={Anja Sturm and Jan M. Swart},
  • Anja Sturm, Jan M. Swart
  • Published 2007
Consider a long-range, one-dimensional voter model started with all zeroes on the negative integers and all ones on the positive integers. If the process obtained by identifying states that are translations of each other is positively recurrent, then it is said that the voter model exhibits interface tightness. In 1995, Cox and Durrett proved that one-dimensional voter models exhibit interface tightness if their infection rates have a finite third moment. Recently, Belhaouari, Mountford, and… CONTINUE READING

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Publications referenced by this paper.

Tightness for the interfaces of onedimensional voter models

  • S. Belhaouari, T. Mountford, G. Valle
  • Proc. Lond. Math. Soc
  • 2007

The complete convergence theorem for coexistent threshold voter models

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  • Ann. Probab
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Hybrid zones and voter model interfaces

  • J. T. Cox, R. Durrett
  • Zbl 0849.60088
  • 1995

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