4 papers · 1 filter
The interplay between partial specification, average shadowing, and Besicovitch completeness
Melih Emin Can, Marcin Kulczycki
Let be a compact dynamical system. This article proves that if has the partial specification property, then it has the average shadowing property. It is also proven…
Spectrum of invariant measures via generic points
Sejal Babel, Melih Emin Can, Dominik Kwietniak +1
We describe the spectrum of an ergodic invariant measure by examining the behaviour of its generic points. We define regular Wiener--Wintner generic points for a measure to general…
On the weakness of the vague specification property
Melih Emin Can, Alexandre Trilles
We show that the vague specification property is strictly weaker than most of the specification-like properties, by establishing its equivalence with the asymptotic average shadowi…
Minimal and proximal examples of -stable and -approachable shift spaces
Melih Emin Can, Jakub Konieczny, Michal Kupsa +1
We study shift spaces over a finite alphabet that can be approximated by mixing shifts of finite type in the sense of (pseudo)metrics connected to Ornstein's metric ($\ba…