Continuity of the Green function in meromorphic families of polynomials
Dynamical Systems
2018-10-17 v2 Complex Variables
Abstract
We prove that along any marked point the Green function of a meromorphic family of polynomials parameterized by the punctured unit disk explodes exponentially fast near the origin with a continuous error term.
Cite
@article{arxiv.1706.04676,
title = {Continuity of the Green function in meromorphic families of polynomials},
author = {Charles Favre and Thomas Gauthier},
journal= {arXiv preprint arXiv:1706.04676},
year = {2018}
}
Comments
Modified references. Added a corollary about the adelic metric associated with an algebraic family endowed with a marked point