On dynamics of infinitely generated contractive mapping systems on $p\mathbb{Z}_p$

发布时间：2019-01-17 来源：赢咖3 浏览次数：

Speaker:	杨静桦博士	DateTime:	2019年01月18日（周五）上午10:00-11:30
Brief Introduction to Speaker: 杨静桦，上海大学博士。		Place:	六号楼二楼报告厅
Abstract: In this talk, I also show some results on limit sets of semigroups generated by infinitely many contractive maps with open tiling conditions. It is shown that there exists a shift transformation on the limit set of G and the shift transformation is ergodic with respect to the Haar measure on p Zp, if G satisfies the open tiling conditions. Furthermore, we can generalize p-adic Khinchin's Theorem and p-adic Lochs' Theorem to any infinitely generated semigroup by use of the ergodicity of the shift transformation.