论文标题

二聚体配置的一部分是否确定其定义域?

Does a portion of dimer configuration determines its domain of definition?

论文作者

Bannier, Antoine, Laslier, Benoit

论文摘要

从定义上讲,临界模型几乎应该具有相关性的缓慢衰减,即使在宏观观察物中保留一些混合。后一种属性的强大版本是,变化的边界条件不能对远离边界的模型具有单数(理论意义上)的影响,即使是渐近的。在本文中,我们证明了有线统一树和templeyan二聚体模型的说法。

Critical models are, almost by definition, supposed to feature both slow decay of correlations for local observables while retaining some mixing even for macroscopic observables. A strong version of the latter property is that changing boundary conditions cannot have a singular (in the measure theoretic sense) effect on the model away from the boundary, even asymptotically. In this paper we prove that statement for the wired uniform spanning tree and temperleyan dimer model.

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