Parameter-space wake decomposition conjecture for exponential maps

Let $W$ be a hyperbolic component in the parameter space of exponential maps, and let $\mathcal{W}(W)$ denote its wake. A subwake of $W$ is a wake associated with a child component of $W$. Wake decomposition conjecture. $\mathcal{W}(W)$ is the union of $\overline{W}$, the subwakes of $W$, and certain parameter rays. The conjecture describes the expected decomposition of the wake of a hyperbolic component and is presented as equivalent to the conjecture that every repelling periodic point of an exponential map with nonescaping singular value is the landing point of a periodic dynamic ray; no resolution is given in the supplied text.