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Tightness for the interfaces of one-dimensional voter models |
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| Authors: | Belhaouari, S. Mountford, T. Valle, G. |
| Affiliation: | Département de Mathématiques École Polytechnique Fédérale 1015 Lausanne Switzerland thomas.mountford{at}epfl.ch samir.brahim{at}epfl.ch glauco.valle{at}epfl.ch |
| Abstract: | We show that for the voter model on {0, 1}  corresponding toa random walk with kernel p(·) and starting from unanimityto the right and opposing unanimity to the left, a tight interfacebetween zeros and ones exists if p(·) has finite secondmoment but does not if p(·) fails to have finite momentof order  for some < 2. |
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