Tightness for the interfaces of one-dimensional voter models

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dc.creatorBelhaouari, Samir
dc.creatorMountford, Thomas
dc.creatorValle, Glauco
dc.date2006-08-28
dc.date.accessioned2026-07-07T07:22:15Z
dc.date.available2026-07-07T07:22:15Z
dc.descriptionWe show that for the voter model on $\{0,1\}^{\mathbb{Z}}$ corresponding to a random walk with kernel $p(\cdot)$ and starting from unanimity to the right and opposing unanimity to the left, a tight interface between 0's and 1's exists if $p(\cdot)$ has finite second moment but does not if $p(\cdot)$ fails to have finite moment of order $α$ for some $α<2$.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0608690
dc.identifierhttp://arxiv.org/abs/math/0608690
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115589
dc.subjectProbability
dc.subject60G60; 60G17; 60G15
dc.titleTightness for the interfaces of one-dimensional voter models
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