2 citations · 6 across the 10 of their papers we have counts for
10 papers
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,…
Retract or Not: A Tale of Two Fans
Iztok Banic, Goran Erceg, Sina Greenwood +1
Let be a Lelek fan or a Cantor fan and let be a Lelek fan or a Cantor fan. In this paper, we study embeddings that admit retractions from onto .…
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…
Specification in Mahavier Systems via Closed Relations
Iztok Banič, Goran Erceg, Ivan Jelić +1
We study two fundamental properties of topological dynamical systems, the specification property and the initial specification property, and explore their generalizations to the br…
Lelek-like Fans: Endpoint-dense Continua Supporting Topologically Mixing Maps
Iztok Banic, Goran Erceg, Ivan Jelic +1
The Lelek fan is the only smooth fan that has a dense set of end-points. In this paper, we study non-smooth fans with this property; i.e., we construct an uncountable family of pai…
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…
Chaos and mixing homeomorphisms on fans
Iztok Banic, Goran Erceg, Judy Kennedy +2
We construct a mixing homeomorphism on the Lelek fan. We also construct a mixing homeomorphism on the Cantor fan. Then, we construct a family of uncountably many pairwise non-homeo…
An uncountable family of non-smooth fans that admit transitive homeomorphisms
Iztok Banic, Judy Kennedy, Chris Mouron +1
Recently, many examples of smooth fans that admit a transitive homeomorphism have been constructed. For example, a family of uncountably many pairwise non-homeomorphic smooth fans…
Quotients of dynamical systems and chaos on the Cantor fan
Iztok Banic, Goran Erceg, Judy Kennedy +1
Let be a dynamical system. Using an equivalence relation on , we introduce the quotient of the dynamical system . In the first part…
An uncountable family of smooth fans that admit transitive homeomorphisms
Iztok Banic, Goran Erceg, Judy Kennedy +2
We construct a family of uncountably many pairwise non-homeomorphic smooth fans that admit transitive homeomorphisms. In addition, we show that the star of Cantor fans admits a tra…