Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Mitsuhiro Shishikura, 日本京都大学
Inviter:
Title:
Oscillating wandering domain for a transcendental entire function of class B
Time & Venue:
2018.5.16 14:30-16:30 N902
Abstract:
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.