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\begin{document}
\title{Errata for `The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially}
\author{Ali Aberkane, James D. Currie \& Narad Rampersad}
\maketitle
\noindent There are a couple of typos:
\begin{enumerate}
\item On p. 3, l. 14, read `$v\in h(i-1)$' for `$v\in h(i)$'.
\item On p. 3, l. 15, delete `and $\Sigma = \Sigma'$.
\end{enumerate}
On p. 5, l. 13, one must change `$|3|X_1|+2$' to `$|3|X_1|+6$'. This error propagates:
\begin{enumerate}
\item In Lemma~3.3, change `$|u_1|>17$' to `$|u_1|>20$'. Change all other occurrences of 17 to 21 (on p. 5, l. 10, p. 6, l. 19 \& 22.)
Change all occurrences of 16 to 20 (on p. 6, l. 23, p. 7, l. 4, 9, 14, 15 \& 16.)
\item On p. 7, l. 5 \& 6, change all occurrences of $a_1a_2a_3a_4$ to $a_1a_2a_3a_4a_5$ and change `$a_1,a_2,a_3,a_4$ letters' to `$a_1,a_2,a_3,a_4, a_5$ letters'. On p. 7, Change `length 4', `{\tt length4}', `{\tt Set4}' to `length 5', `{\tt length5}', `{\tt Set5}' wherever they occur. In item 2 change 27 to 37; in item 3 change 80 to 146; in item 4 change 278 to 432.
\item In the second last sentence of Section~4, the total time should be given as about 120 seconds.
\end{enumerate}
The results remain valid, and the online code has been modified to correspond to these adjustments.
\end{document}