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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
Euclidean-type algorithm for functions with same or similar origin
Ana AnuÅ¡iÄ, Christopher Mouron
Maps are called kin if they are forward iterates of the same map , up to a composition with a commuting homeomorphism. Kin form an important cla…
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…