3 papers
math.DS2026
On non-chaotic hyperbolic sets
Noriaki Kawaguchi
We give necessary and sufficient conditions for a hyperbolic set to be non-chaotic (or, conversely, chaotic) in a certain sense.
math.DS2025
Some consequences of shadowing and entropy-expansiveness
Noriaki Kawaguchi
Given any continuous self-map of a compact metric space, we prove that a non-empty uniformly rigid subset must be zero-dimensional, under assumptions of shadowing and h-expansivene…
math.DS2025
A note on odometers and shadowing
Noriaki Kawaguchi
For a continuous self-map of a compact metric space, we provide a sufficient condition for the orbit of a point to converge to a periodic orbit or an odometer. We show that if a co…