报告人 ：Charlene Kalle（Leiden University）

时间：2023年04月13日 15:30--

Zoom Meeting：879 2298 3624  Key: 314159

摘要：In integer base expansions normal numbers are numbers with expansions in which all possible combinations of digits appear with the expected frequency: if the base is N, then each block of m digits should appear with frequency 1/N^m. It was proven by Borel in 1909 that Lebesgue almost all numbers are normal with respect to each integer base N larger than 1. Also for other types of number expansions one can define a concept of normal numbers. In this talk we introduce a family of numbers for which the Lüroth expansion is normal. This is joint work with Aafko Boonstra.

简介：Charlene Kalle，荷兰莱顿大学数学研究所副教授，研究方向为动力系统与遍历理论。在Trans.AMS, Comm. Math. Phys., Ergodic Theory Dynam. Systems等学术期刊上发表论文20余篇。

邀请人：孔德荣

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