标题： 自同构群的零流和适度流的不动点 显示英文标题

标题： Fixed points on null and tame flows for groups of automorphisms

摘要： 使用Nguyen Van Thé提出的Kechris-Pestov-Todorčević对应关系的推广，我们得到了形式为$\mathrm{Aut}(\mathcal F)$的群的null和tame作用的不动点定理，其中$\mathcal{F}$是一个Fraïssé结构。特别地，我们证明如果$\mathrm{Age}(\mathcal F)$是一个自由联合嵌入类，那么每个null流$\mathrm{Aut}(\mathcal F)\curvearrowright X$都有一个不动点，而如果$\mathrm{Age}(\mathcal F)$是一个自由融合类，那么每个tame流$\mathrm{Aut}(\mathcal F)\curvearrowright X$都有一个不动点。 显示英文摘要

摘要： Using a generalization of the Kechris-Pestov-Todor\v{c}evi\'{c} correspondence due to Nguyen Van Th\'{e} we obtain fixed point theorems for null and tame actions of groups of the form $\mathrm{Aut}(\mathcal F)$, where $\mathcal{F}$ is a Fra\"{i}ss\'{e} structure. In particular we show that if $\mathrm{Age}(\mathcal F)$ is a free joint embedding class, then every null flow $\mathrm{Aut}(\mathcal F)\curvearrowright X$ has a fixed point, while if $\mathrm{Age}(\mathcal F)$ is a free amalgamation class, then every tame flow $\mathrm{Aut}(\mathcal F)\curvearrowright X$ has a fixed point.