Zhi-Xiong Wen

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The combinatorial properties of the Fibonacci infinite word are of great interest in some aspects of mathematics and physics, such as number theory, fractal geometry, formal language, computational complexity , quasicrystals etc. In this note, we introduce the singular words of the Fibonacci infinite word and discuss their properties. We establish two(More)
We study the structure of invertible substitutions on three-letter alphabet. We show that there exists a finite set S of invertible substitutions such that any invertible substitution can be written as I w • σ 1 • σ 2 • · · · • σ k , where I w is the inner automorphism associated with w, and σ j ∈ S for 1 ≤ j ≤ k. As a consequence, M is the matrix of an(More)