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- Zhi-Xiong Wen, Jie-Meng Zhang, Wen Wu
- Eur. J. Comb.
- 2015

- Jie-Meng Zhang, Jin Chen, Yingjun Guo, Zhi-Xiong Wen
- ArXiv
- 2016

In this paper, 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 codings.

- Jie-Meng Zhang, Yingjun Guo, Zhi-Xiong Wen
- ArXiv
- 2015

- Jie-Meng Zhang, Zhi-Xiong Wen, Wen Wu
- Electr. J. Comb.
- 2017

The infinite Fibonacci sequence F, which is an extension of the classic Fibonacci sequence to the infinite alphabet N, is the fixed point of the morphism φ: (2i) 7→ (2i)(2i+ 1) and (2i+ 1) 7→ (2i+ 2) for all i ∈ N. In this paper, we study the growth order and digit sum of F, and give several decompositions of F using singular words.

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