3 papers
math.DS2026
The Specification Property on the Lelek Fan
Goran Erceg, James Kelly, Judy Kennedy +2
Recent work of Piotr Oprocha and his collaborators has provided a number of delicate examples of dynamical systems separating specification, shadowing, and periodic-point density,…
math.DS2025
Turbulent Closed Relations
Judy Kennedy, Christopher Mouron, Van Nall
This paper generalizes the classical notion of turbulence from dynamical systems generated by continuous functions to those defined by closed relations on compact metric spaces. Us…
math.DS2025
Towards the complete classification of fans
Iztok Banič, Goran Erceg, Alejandro Illanes +3
A fan is an arcwise-connected continuum, which is hereditarily unicoherent and has exactly one ramification point. Many of the known examples of fans were constructed as 1-dimensio…