Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics

The aims of this paper are to answer several conjectures and questions about the multiplier spectrum of rational maps and giving new proofs of several rigidity theorems in complex dynamics by combining tools from complex and non-Archimedean dynamics.

Bibliographic Details
Main Authors: Zhuchao Ji, Junyi Xie
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Pi
Online Access:https://www.cambridge.org/core/product/identifier/S2050508623000124/type/journal_article