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

发布时间:2019-01-17 作者: 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.