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This paper is concerned with palindromes occurring in characteristic Sturmianwords $c_\alpha$ of slope $\alpha$, where $\alpha \in (0,1)$ is an irrational.As $c_\alpha$ is a uniformly recurrent infinite word, any (palindromic) factorof $c_\alpha$ occurs infinitely many times in $c_\alpha$ with bounded gaps. Ouraim is to completely describe where palindromes occur in $c_\alpha$. Inparticular, given any palindromic factor $u$ of $c_\alpha$, we shall establisha decomposition of $c_\alpha$ with respect to the occurrences of $u$. Such adecomposition shows precisely where $u$ occurs in $c_\alpha$, and this isdirectly related to the continued fraction expansion of $\alpha$.

Occurrences of palindromes in characteristic Sturmian words