On (non-)local-connectivity of some Julia sets
Alexandre Dezotti, Pascale Roesch
TL;DR
This paper explores the local connectivity properties of Julia sets for polynomials and rational maps, discussing conjectures and open questions in the field.
Contribution
It presents new conjectures and questions regarding the local connectivity of Julia sets, highlighting areas for future research.
Findings
Discusses conjectures on Julia set connectivity
Raises open questions in complex dynamics
Provides insights into polynomial and rational map Julia sets
Abstract
This article deals with the question of local connectivity of the Julia set of polynomials and rational maps. It essentially presents conjectures and questions.
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