3 citations · 4 across the 5 of their papers we have counts for
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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,…
Topological dynamics of Markov multi-maps of the interval
James P. Kelly, Kevin McGoff
We study Markov multi-maps of the interval from the point of view of topological dynamics. Specifically, we investigate whether they have various properties, including topological…
Entropy conjugacy for Markov multi-maps of the interval
James P. Kelly, Kevin McGoff
We consider a class of Markov multi-maps on the unit interval. Any multi-map gives rise to a space of trajectories, which is a closed, shift-invariant subset of $[0,1…
Linear operators with infinite entropy
Will Brian, James P. Kelly
We examine the chaotic behavior of certain continuous linear operators on infinite-dimensional Banach spaces, and provide several equivalent characterizations of when these operato…
Topological entropy on set-valued functions
James Kelly, Tim Tennant
Topological entropy is a widely studied indicator of chaos in topological dynamics. Here we give a generalized definition of topological entropy which may be applied to set-valued…