DEGENERATIONS OF COMPLEX DYNAMICAL SYSTEMS

We show that the weak limit of the maximal measures for any degenerating sequence of rational maps on the Riemann sphere ${\hat{{\mathbb{C}}}} $ must be a countable sum of atoms. For a one-parameter fam...

Full description

Bibliographic Details
Main Authors: LAURA DE MARCO, XANDER FABER
Format: Article
Language:English
Published: Cambridge University Press 2014-04-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509414000085/type/journal_article