A dynamical pairing between two rational maps
A dynamical pairing between two rational maps
Given two rational maps $\varphi$ and $\psi$ on $\mathbb {P}^1$ of degree at least two, we study a symmetric, nonnegative real-valued pairing $\langle \varphi ,\psi \rangle$ which is closely related to the canonical height functions $h_\varphi$ and $h_\psi$ associated to these maps. Our main results show a strong connection between …