论文标题
瓦拉丹（Varadhan
Varadhan's decomposition of shift-invariant closed uniform forms for large scale interacting systems on general crystal lattices
论文作者
论文摘要
我们证明了与一般晶体晶格上的大型相互作用系统相关的偏移不变的闭合均匀形式的瓦拉丹分解版的均匀版本。特别是，该结果包括欧几里得晶格上的翻译不变过程的情况，$ \ mathbf {z}^d $具有有限范围。我们的结果概括了Arxiv：2009.04699的结果，该结果对于可传输图上的系统有效。在随后的研究中，我们将使用本文的结果来证明Varadhan在通用晶格上大规模交互系统的封闭$ l^2 $形式的分解。
We prove a uniform version of Varadhan decomposition for shift-invariant closed uniform forms associated to large scale interacting systems on general crystal lattices. In particular, this result includes the case of translation invariant processes on Euclidean lattices $\mathbf{Z}^d$ with finite range. Our result generalizes the result of arXiv:2009.04699 which was valid for systems on transferable graphs. In subsequent research, we will use the result of this article to prove Varadhan's decomposition of closed $L^2$-forms for large scale interacting systems on general crystal lattices.
