Document
type: Class

Measures related to metric complexity
has publication venue: Discrete and Continuous Dynamical Systems
type: Document
doi: 10.3934/dcds.2010.28.1299
related by: authorship_14401
type: Information Content Entity
page end: 1309
abstract: Metric complexity functions measure an amount of instability of trajectories in dynamical systems acting on metric spaces. They reflect an ability of trajectories to diverge by the distance of e during the time interval n. This ability depends on the position of initial points in the phase space, so, there are some distributions of initial points with respect to these features that present themselves in the form of Borel measures. There are two approaches to deal with metric complexities: the one based on the notion of ε-nets (εspanning) and the other one defined through ε-separability. The last one has been studied in [1, 2]. In the present article we concentrate on the former. In particular, we prove that the measure is invariant if the complexity function grows subexponentially in n.
estado: published
origen: scopus
crisid: 2445
e iscopus: 2-s2.0-77958060344
most specific type: Article
issue: 4
freetext keyword: Complexity functions; Invariant measures; Separability
accesstype: All Open Access, Hybrid Gold
type: Thing
type: Entity
related by: authorship_14399
related by: authorship_14400
volume: 28
most specific type: Document
type: Generically Dependent Continuant
type: Article
type: Continuant
date time value: article date 2445
page start: 1299

Continuant
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Entity
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Discrete and Continuous Dynamical Systems
type: Journal
type: Collection
publication venue for: Measures related to metric complexity
type: Generically Dependent Continuant
type: Information Content Entity
type: Periodical
type: Document
type: Thing
type: Continuant
type: Entity

Generically Dependent Continuant
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RDF description of Measures related to metric complexity - http://orbis.uaslp.mx/vivo/individual/scopus2444
rights: termsOfUse
date: 2026-08-27T07:40:44
publisher: vivo
type: Document

Article
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