Measures related to (e,n)-complexity functions
| dc.creator | Afraimovich, Valentin | |
| dc.creator | Glebsky, Lev | |
| dc.date | 2007-05-18 | |
| dc.date.accessioned | 2026-07-07T08:02:17Z | |
| dc.date.available | 2026-07-07T08:02:17Z | |
| dc.description | The (e,n)-complexity functions describe total instability of trajectories in dynamical systems. They reflect an ability of trajectories going through a Borel set to diverge on the distance $ε$ during the time interval n. Behavior of the (e, n)-complexity functions as n goes to infinity is reflected in the properties of special measures. These measures are constructed as limits of atomic measures supported at points of (e,n)-separated sets. We study such measures. In particular, we prove that they are invariant if the (e,n)-complexity function grows subexponentially. Keywords: Topological entropy, complexity functions, separability. | |
| dc.identifier | https://arxiv.org/abs/0705.2753 | |
| dc.identifier | http://arxiv.org/abs/0705.2753 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129186 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Functional Analysis | |
| dc.subject | 28C15, 37C99 | |
| dc.title | Measures related to (e,n)-complexity functions | |
| dc.type | text |