Given a countable discrete amenable virtually orderable group G acting by translations on a G-subshift X ⊆ S^G and an absolutely summable potential Φ, we present a set of conditions to obtain a special integral representation of pressure P(Φ). The approach is based on a Shannon–McMillan–Breiman (SMB) type theorem for Gibbs measures due to Gurevich–Tempelman (2007), and generalizes results from Gamarnik–Katz (2009), Helvik–Lindgren (2014), and Marcus–Pavlov (2015) by extending the setting to other groups besides ℤ^d, by relaxing the assumptions on X and Φ, and by using sufficient convergence conditions in a mean–instead of a uniform–sense. Under the fairly general context proposed here, these same conditions turn out to be also necessary.

给定一个数离散amenable几乎可订购组ģ由翻译作用的ģ -subshift X⊆小号^ģ和绝对可潜在Φ，我们提出一组条件以获得压力P（Φ）的一种特殊的积分表示。该方法基于Gurevich–Tempelman（2007）的Gibbs测度的Shannon–McMillan–Breiman（SMB）类型定理，并概括了Gamarnik–Katz（2009），Helvik–Lindgren（2014）和Marcus–Pavlov的结果（2015）通过将设置扩展到to ^d以外的其他组，放宽对X的假设和Φ，并通过使用均值而非均匀感的足够收敛条件。在这里提出的相当普遍的背景下，这些相同的条件也被证明是必要的。