群的圈积上的随机游动
Random walks on wreath products of groups
摘要：
本文证明了完全单项式群G上的某些随机游动的收敛速率一致于群G的\wr S_n.这些结果给出了超八面体群Z_2 \wr S_n、广义对称群Z_m \wr S_n和S_m \wr S_n上随机游动的收敛速度.这些结果提供了基准，许多其他随机游动，建模范围广泛的现象，可以比较使用的比较技术，从而产生的收敛速度的界限，以前棘手的随机游动均匀。
英文摘要：
We bound the rate of convergence to uniformity for certain random walks on the complete monomial groups G \wr S_n for any group G. These results provide rates of convergence for random walks on a number of groups of interest: the hyperoctahedral group Z_2 \wr S_n, the generalized symmetric group Z_m \wr S_n, and S_m \wr S_n. These results provide benchmarks to which many other random walks, modeling a wide range of phenomena, may be compared using the comparison technique, thereby yielding bounds on the rates of convergence to uniformity for previously intractable random walks.
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。
