次临界Ising模型有限期望编码体积的有限编码
Finitary coding for the sub-critical Ising model with finite expected coding volume
摘要：
van den Berg和Steif证明了$\mathbb{Z}^d$上的亚临界Ising模型是有限值i.i.d.的有限因子。过程我们加强这一点，表明因子映射可以有有限的预期编码量（事实上，拉伸指数尾），回答了范登伯格和Steif的问题。结果在临界温度以上的任何温度下都成立。一个类似的结果适用于马尔可夫随机场满足高噪声的假设和适当的着色与大量的颜色。
英文摘要：
It has been shown by van den Berg and Steif that the sub-critical Ising model on $\mathbb{Z}^d$ is a finitary factor of a finite-valued i.i.d. process. We strengthen this by showing that the factor map can be made to have finite expected coding volume (in fact, stretched-exponential tails), answering a question of van den Berg and Steif. The result holds at any temperature above the critical temperature. An analogous result holds for Markov random fields satisfying a high-noise assumption and for proper colorings with a large number of colors.
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