3 papers
math.DS2026
Shadowing, chain transitive sets with nonempty interior and attractor boundaries
Noriaki Kawaguchi
We examine certain phenomena in -dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor bo…
math.DS2026
A note on the omega-chaos
Noriaki Kawaguchi
For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is -chaotic. We also apply the result…
math.DS2025
On ball expanding maps
Noriaki Kawaguchi
We study the dynamical properties of ball expanding maps, a class of continuous self-maps defined on compact metric spaces. For a ball expanding map, we show that: (1) the set of p…