Growth of attraction rates for iterates of a superattracting germ in dimension two William GignacMatteo Ruggiero 32h5013a1837p50complex dynamicssuperattracting germsattraction ratesalgebraic stabilityvaluative tree We study the sequence of attraction rates of iterates of a dominant superattracting holomorphic fixed point germ $f\colon(\mathbb{C}^2,0)\to(\mathbb{C}^2,0)$. By using valuative techniques similar to those developed by Favre-Jonsson, we show that this sequence eventually satisfies an integral linear recursion relation, which, up to replacing $f$ by an iterate, can be taken to have order at most two. In addition, when the germ $f$ is finite, we show the existence of a bimeromorphic model of $(\mathbb{C}^2,0)$ where $f$ satisfies a weak local algebraic stability condition. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5286 10.1512/iumj.2014.63.5286 en Indiana Univ. Math. J. 63 (2014) 1195 - 1234 state-of-the-art mathematics http://iumj.org/access/