报告人：Peter Zeiner（厦门大学马来西亚分校）

时  间：2023年9月8日16:30

地  点：海韵园实验楼105报告厅

内容摘要:

The Thue-Morse chain is a well-known aperiodic sequence and an important model to study aperiodic systems. In this talk, we focus on its autocorrelation function and discuss some generalisations to n-point correlation functions. The correlation function satisfies certain recurrence relations which allow us to derive some explicit formulas for the n-point correlation functions. Furthermore, they allow us to investigate their symmetries and some asymptotic properties. Finally, we derive some bounds for the autocorrelation function and the asymtotic growth rate of its summatory function. This is joint work with Darren Ong, Chang Wen Teng and Tio Ru Chen.

个人简介：

Peter Zeiner, Head of Department at Xiamen University Malaysia. In 1998, he obtained his PhD in physics from TU Vienna and afterwards worked as post-doc at the Institute of Theoretical Physics at the University of Nijmegen (The Netherlands). In 2005, he moved to Bielefeld University (Germany), where he spent more than a decade at the Faculty of Mathematics, where he got his habilitation in mathematics in 2015. Since 2018, he is Associate Professor at XMUM. His research interests is Mathematical Crystallography, Aperiodic Order, Number Theory and Algebra.

联系人：夏超