Arbitrary large number of non trivial rescaling limits

Abstract

We construct a family of rational map sequences providing an arbitrary large number of dynamically independent rescaling limits of non monomial type. From this, we deduce the existence of a family of rational maps providing a non trivial dynamics on the Berkovich projective line over the field of formal Puiseux series.

arXiv comment18 pages, 2 figures

References in corpus (1)

• Rescaling limits of complex rational maps

Cited by in corpus (3)

• The Thurston Algorithm for quadratic matings
• On hyperbolic rational maps with finitely connected Fatou sets
• On the cycles of components of disconnected Julia sets