论文标题
在某些可能的混合速率组合上，严格固定，可逆的马尔可夫链
On some possible combinations of mixing rates for strictly stationary, reversible Markov chains
论文作者
论文摘要
构建了一类示例，以表明，对于严格固定的马尔可夫链，在某些不可避免的紧密限制中，$ρ$混合的同时混合速率和强烈混合（$α$ - 混合）条件可能是相当任意的。此处构造的示例具有附加的属性，即绝对规律性（$β$ - 混合）条件的混合速率在恒定因素之内，用于强混合。
A class of examples is constructed to show that for strictly stationary Markov chains that are reversible, the simultaneous mixing rates for the $ρ$-mixing and strong mixing ($α$-mixing) conditions can be fairly arbitrary, within certain unavoidable tight restrictions. The examples constructed here have the added property that the mixing rate for the absolute regularity ($β$-mixing) condition is within a constant factor of that for strong mixing.
