关于举行华中科技大学文志雄教授和武汉工程大学张杰萌博士学术报告会的通知

报告题目1：On the sum-free sets of generated by some substitution sequences
报 告 人：文志雄 教授  （华中科技大学）
报告时间：2017年04月25日（星期二）下午14:30-15:30

报告题目2：Morphisms on infinite alphabets, countable states automata and regular sequences
报 告 人： 张杰萌 博士 （武汉工程大学）
报告时间：2017年04月25日（星期二）下午15:30-16:30

报告地点：4号楼4135室

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                                                                        数学学院
                                                                   2017年04月21日
报告1摘要：
    Cameron introduced a bijection between the set of sum-free sets and the set of all zero–one sequences. We study the sum-free sets of natural numbers corresponding to certain zero–one sequences which contain the Cantor-like sequences, the generalization of the period-doubling sequences and some invertible substitution sequences, etc. Such sum-free sets considered as integer sequences are regular sequences (whose difference sequences are automatic) or their difference sequences are substitution sequences (maybe they are not automatic).

报告2摘要：
    k-regular sequences are the generalization of k-automatic sequences. We prove that a class of regular sequences can be viewed as projections of fixed points of uniform morphisms on a countable alphabet, and also can be generated by countable states automata. Moreover, we prove that the regularity of some regular sequences is invariant under some coding.