有效浓度界限的玩具示例
Toy examples for effective concentration bounds
摘要：
本文证明了各种泛函空间上各种马尔可夫链的谱间隙。虽然证明谱隙存在是相对常见的，但显式估计似乎有些罕见。这些估计然后被用于应用“具有谱隙的马尔可夫链的有效极限定理”的浓度不等式（目前的大部分材料是该文章第3节的一部分，在已出版的版本中已减少到其核心）。
英文摘要：
In this note we prove a spectral gap for various Markov chains on various functional spaces. While proving that a spectral gap exists is relatively common, explicit estimates seems somewhat rare.These estimates are then used to apply the concentration inequalities of "Effective limit theorems for Markov chains with a spectral gap" (most of the present material was part of Section 3 of that article, which has been reduced to its core in the published version).
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。
