Stability and bifurcations in projective holomorphic dynamics
Volume 115 / 2018
Banach Center Publications 115 (2018), 37-71
MSC: 32H50, 32U40, 37F45, 37F50, 37H15.
DOI: 10.4064/bc115-2
Abstract
We survey the classical theory of stability for rational maps and give a new proof based on potential and ergodic theoretic tools. We then exploit this approach to present a generalization of this theory which is valid in any dimension. This text is partially based on the lectures given by the first author at IMPAN during the Simons Semester Dynamical Systems held in Banach Center.
