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Derived Sequences and Factor Spectrum of the Period-doubling Sequence - 黄煜可 (北京邮电大学)

题目:Derived Sequences and Factor Spectrum of the Period-doubling Sequence

报告人:黄煜可 (北京邮电大学)

Abstract:

Factor properties and their structures are important themes in combinatorics on words. Let D be the infinite one-sided sequence over alphabet {a,b} generated by the period-doubling substitution σ(a)=ab and σ(b)=aa. For ω a factor of D, we denote the derived sequence over ω by DSω(D). In this paper, we determine the derived sequence DSω(D) for any ω, and study some factor spectra using the structures of derived sequences. We also prove the reflexivity property of derived sequences.

时间:2020年12月14日(周一)  下午15:00-16:00

地点:线上腾讯会议(会议号:398 780 229)

联系人:魏巧玲