强嵌入的一种新方法
A new approach to strong embeddings
摘要：
我们从一个新的角度重新审视强逼近论，最终证明了简单随机游动的Komlós-Major-Tusnády嵌入定理。这个证明几乎完全基于一系列软论证和简单的不等式。这项新技术的灵感来自Stein的法向近似法，适用于Stein方法工作的任何设置。特别是，人们可以希望它超越独立随机变量的总和。
英文摘要：
We revisit strong approximation theory from a new perspective, culminating in a proof of the Komlós-Major-Tusnády embedding theorem for the simple random walk. The proof is almost entirely based on a series of soft arguments and easy inequalities. The new technique, inspired by Stein's method of normal approximation, is applicable to any setting where Stein's method works. In particular, one can hope to take it beyond sums of independent random variables.
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