Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156901 | Stochastic Processes and their Applications | 2009 | 19 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Maximilian Dürre,