Influence and sharp-threshold theorems for monotonic measures

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dc.creatorGraham, B. T.
dc.creatorGrimmett, G. R.
dc.date2005-05-03
dc.date.accessioned2026-07-07T05:19:37Z
dc.date.available2026-07-07T05:19:37Z
dc.descriptionThe influence theorem for product measures on the discrete space {0,1}^N may be extended to probability measures with the property of monotonicity (which is equivalent to `strong positive-association'). Corresponding results are valid for probability measures on the cube [0,1]^N that are absolutely continuous with respect to Lebesgue measure. These results lead to a sharp-threshold theorem for measures of random-cluster type, and this may be applied to box-crossings in the two-dimensional random-cluster model.
dc.identifierhttps://arxiv.org/abs/math/0505057
dc.identifierhttp://arxiv.org/abs/math/0505057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75081
dc.subjectProbability
dc.subject60E15; 60K35
dc.titleInfluence and sharp-threshold theorems for monotonic measures
dc.typetext

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