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A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of P k
Author(s) -
Berteloot François,
Dupont Christophe
Publication year - 2019
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12163
Subject(s) - endomorphism , holomorphic function , iterated function , mathematics , inverse , distortion (music) , pure mathematics , mathematical analysis , computer science , geometry , amplifier , bandwidth (computing) , computer network
We linearize the inverse branches of the iterates of holomorphic endomorphisms of P k and thus overcome the lack of Koebe Distortion theorem in this setting when k ⩾ 2 . We review several applications of this result in holomorphic dynamics.
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