报告人: Charlene Kalle（荷兰莱顿大学）

日  期: 2019年10月18日

时  间: 15:00

地  点: 理科楼 LD302

摘  要: In this talk we consider a one-parameter family of dynamical systems that generate binary expansion of numbers using digits -1, 0 and 1. By the Birkhoff Ergodic Theorem the frequency of the digit 0 in typical expansions can be determined from an invariant measure that is equivalent to the Lebesgue measure. We use a surprising relation between this family of maps and Nakada's continued fraction maps to obtain an explicit expression for the density of such a measure. Then we identify the region in the parameter space where the frequency of the digit 0 in typical signed binary expansions is as large as possible.

报告人简介：Charlene Kalle博士，现为荷兰莱顿大学数学研究所的tenure track研究员，曾获得荷兰国家科学基金委的Top Grant。2009年博士毕业于荷兰乌特勒支大学数学系，后得到欧洲“玛丽居里学者”基金资助到英国Warwick大学和奥地利维也纳大学从事博士后研究。Charlene Kalle博士的研究方向：动力系统与遍历理论。到目前为止，在Trans AMS， ETDS，Nonlinearity等一流数学杂志发表SCI论文十多篇。

公司联系人:孔德荣

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