Convergence Rates in the Implicit Renewal Theorem on Trees
Convergence Rates in the Implicit Renewal Theorem on Trees
We consider possibly nonlinear distributional fixed-point equations on weighted branching trees, which include the well-known linear branching recursion. In Jelenković and Olvera-Cravioto (2012), an implicit renewal theorem was developed that enables the characterization of the power-tail asymptotics of the solutions to many equations that fall into this category. In this …