The complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. We study infinite binary words $\bf w$ that avoid sufficiently large complementary factors; that is, if $x$ is a factor of $\bf w$ then $\overline{x}$ is not a factor of $\bf w$. In particular, we classify such words according to their critical exponents.
翻译:二进制词$x$的补$\overline{x}$通过将$x$中的每个$0$变为$1$,每个$1$变为$0$得到。我们研究避免足够大补因子的无限二进制词$\bf w$,即若$x$是$\bf w$的一个因子,则$\overline{x}$不是$\bf w$的因子。特别地,我们根据这些词的关键指数对其进行分类。