论文标题
等级轮廓和随机步行在某些由分段动作定义的组上
Isoperimetric profiles and random walks on some groups defined by piecewise actions
论文作者
论文摘要
我们研究了通过在标记的Schreier图和简单的{\ em Gluing}上定义的有限生成组的某些族的等等和光谱曲线。在我们最简单的构造之一中---组的$ g $ ----这导致研究完整置换组$ \ mathbb s（g \ cup \ cup \ {*\}）$的某些有限生成的子组的研究。获得了一些尖锐的估计，而仍然存在许多具有挑战性的问题。
We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple {\em gluing} of such. In one of our simplest constructions---the {\em pocket-extension} of a group $G$---this leads to the study of certain finitely generated subgroups of the full permutation group $\mathbb S(G\cup \{*\})$. Some sharp estimates are obtained while many challenging questions remain.
