We study the random conductance model on ${\mathbb{Z}}^d$ with ergodic, unbounded conductances. We prove a Gaussian lower bound on the heat kernel given a polynomial moment condition and some additional assumptions on the correlations of the conductances. The proof is based on the well-established chaining technique. We also obtain bounds on the Green’s function.

中文翻译：

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退化遍历环境中随机电导模型的下高斯热核边界

我们研究随机电导模型 ${\mathbb{Z}}^d$具有遍历的无界电导。在给定多项式矩条件和有关电导相关性的一些附加假设的情况下，我们证明了热核的高斯下界。该证明基于完善的链接技术。我们还获得了格林函数的边界。