Article ID Journal Published Year Pages File Type
1156901 Stochastic Processes and their Applications 2009 19 Pages PDF
Abstract

We study the scaling limit for the height one field of the two-dimensional Abelian sandpile model. The scaling limit for the covariance having height one at two macroscopically distant sites, more generally the centred height one joint moment of a finite number of macroscopically distant sites, is identified and shown to be conformally covariant. The result is based on a representation of the height one joint intensities that is close to a block-determinantal structure.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
,