activity
20232026
most citedAn uncountable family of non-smooth fans that admit transitive homeomorphisms

2 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math.CO2026

Results on Cartesian -capacity of graphs

Mateja Grašič, Christopher Mouron, Aljoša Šubašić +2

The concept of graph capacity extends graph span by considering the maximum number of agents that can simultaneously traverse a graph while preserving a prescribed minimum distance…

math.CO2026

Span capacities of graphs

Mateja Grašič, Christopher Mouron, Aljoša Šubašić +2

The -capacity of a graph is introduced as the maximum number of players that can simultaneously traverse such that each player visits all vertices while maintaining a di…

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 Anušić, 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 clas…

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.CO2024

The strong vertex span of trees

Mateja Grašič, Chris Mouron, Andrej Taranenko

The strong vertex (edge) span of a given graph is the maximum distance that two players can maintain at all times while visiting all vertices (edges) of and moving either t…

math.DS2023★ 1 cited

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…

math.DS2023★ 2 cited

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…

math.DS2023★ 1 cited

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…