3 papers
math.DS2021
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…
math.DS2019
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…
math.DS2019
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…