セミナー

発表言語 英語
開催日 2012年07月13日 14時00分
終了日 2012年07月13日 17時00分
開催場所京都大学理学部6号館609号室
セミナー名京都力学系セミナー
タイトル Trajectories of complex quadratic polynomials with an irrationally indifferent fixed point 
分野 解析
その他
講演者名Davoud Cheraghi
講演者所属University of Warwick
概要The local, semi-local, and global dynamics of the complex
quadratic polynomials



, for irrational values of , have been extensively
studied through various methods. The main source of difficulty is the
interplay between the tangential movement created by the fixed point and
the radial movement caused by the critical point. This naturally brings the
arithmetic nature of into play.
Using a renormalization technique developed by H. Inou and M. Shishikura,
we analyze this interaction, and in particular, describe the topological
behavior of the orbit of typical points under these maps.
リンクhttps://www.math.kyoto-u.ac.jp/dynamics/