Hyperbolic maps in \(p\)-adic dynamics (Q2709587)

This work is concerned with the study of hyperbolic rational mappings over the algebraic closure of a \(p\)-adic field: it belongs to an active area of interdisciplinary research, aimed at developing and applying the theory of non-archimedean dynamical systems. NEWLINENEWLINENEWLINEThe main results are the characterization of hyperbolic rational mappings by the absence of critical points on the Julia set, and a concise proof of the \(p\)-adic equivalent of Sullivan's no wandering domain theorem for such maps. The paper also provides an informative comparison between archimedean and non-archimedean theories.