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

 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.