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{\bf James D. Currie and Narad Rampersad}
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{\bf For each $\alpha > 2$ there is an Infinite Binary Word with Critical Exponent $\alpha$}
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The critical exponent of an infinite word ${\bf w}$ is the supremum of
all rational numbers $\alpha$ such that ${\bf w}$ contains an
$\alpha$-power. We resolve an open question of Krieger and Shallit by
showing that for each $\alpha > 2$ there is an infinite binary word
with critical exponent $\alpha$.
\bye