Banff International Research Station for Mathematical Innovation and Discovery
Abstract
We present an optimal estimate on the Fatou coordinates that plays a key role in the study of the dynamics of holomorphic maps near irrationally indifferent fixed points. The estimates have been established using quasi-confrormal techniques, and are a major improvement over known estimates obtained using classical methods of complex analysis. Time permitting, we discuss some of the applications of the new estimates.Non UBCUnreviewedAuthor affiliation: Imperial College LondonPostdoctora
