1/2+1)/2, fn the n-th Fibonacci
finite
word and f the Fibonacci infinite word. Let r be a
rational number
greater than (2+Φ)/2 and u
a nonempty word. If ur is a factor of f, then
there exists n≥1 such that u
is a conjugate of fn and, moreover, each occurrence
of ur is contained in
a maximal one of (fn)s for some
s in [2, 2 + Φ). Several known results on
the Fibonacci infinite word follow from this.
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