In mathematics, a sesquipower or Zimin word is a string over an alphabet with identical prefix and suffix. Sesquipowers are unavoidable patterns, in the sense that all sufficiently long strings contain one.
In mathematics, a sesquipower or Zimin word is a string over an alphabet with identical prefix and suffix. Sesquipowers are unavoidable patterns, in the...
infinitely many times. An infinite word is recurrent if and only if it is a sesquipower. A uniformly recurrent word is a recurrent word in which for any given...
unavoidable patterns sesquipowers are also studied. For some patterns x {\displaystyle x} , y {\displaystyle y} , z {\displaystyle z} , a sesquipower is of the form...
and the elements of C in Mi are conjugate in Mi.[clarification needed] Sesquipower Lothaire (1997) p.64 Lothaire (1997) p.67 Duval, Jean-Pierre (1983)....