中科院数学与系统科学研究院

数学研究所

复动力系统研讨班

报告人：Prof. Mitsuhiro Shishikura（日本京都大学）

题  目：Oscillating wandering domain for a transcendental entire function of class B

时  间：2018.05.16（星期三），14 :30-16:30

地  点：数学院南楼N902室

摘  要：C. Bishop has introduced a technique called quasiconformal folding, and as an application, constructed a transcendental entire function of class B (with bounded singular values) having an oscillating wandering domain. However there are several issues in the proof, so we propose a new construction which uses quasiconformal mappings but not Bishop’s quasiconformal folding. With our method we can show that the obtained function has finite order. We use an estimate on the variation of cross-ratio under quasiconformal mappings, which lead to a new proof of Teichmueller-Wittich-Belinskii’ s theorem on the conformality at a point.  This is a joint work with David Marti Pete.