Conformal covariance of the Abelian sandpile height one field

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:119

Article

Duerre, Maximilian

关键词: Abelian sandpile model;    Scaling limit;    Determinantal process;    Conformal covariance;   

DOI  :  10.1016/j.spa.2009.02.002

来源: Elsevier

【 摘 要 】

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 oil a representation of the height one joint intensities that is close to a block-determinantal structure. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

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