再论弱相关的强大数律
The weakly dependent strong law of large numbers revisited
摘要：
我们给出了一个简短的，自足的，和初步的证明下的联合二阶矩的幂律衰减假设的强大数律。这个结果与Lyons的经典结果是一致的。然而，我们也提供了一个收敛速率。我们的证明没有使用极大不等式，而是受到了构造性量子场论中多尺度大与小场分解方法的启发。
英文摘要：
We give a short, self-contained, and elementary proof of the strong law of large numbers under a power law decay hypothesis for joint second moments. The result is related to the classical one by Lyons. However, we also provide a rate of convergence. Our proof does not use maximal inequalities and is instead inspired by the method of multiscale large versus small field decompositions in constructive quantum field theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
