2 papers
math.DS2026
Non-locally connected spaces I: Coverings and branched coverings on metric spaces
Jorge Iglesias, Aldo Portela, Ãlvaro Rovella +2
Whether a rational function can have an indecomposable continuum as its Julia set is a fundamental open problem in complex dynamics. We settle this negatively for one of the most c…
math.DS2026
A survey on the growth rate inequality for sphere endomorphisms
Juliana Xavier
We survey recent results and current challenges concerning the growth rate inequality for sphere endomorphisms, and present a number of open problems and conjectures arising in thi…