2025-02-24T00:08:46-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-148466%22&qt=morelikethis&rows=5
2025-02-24T00:08:46-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-148466%22&qt=morelikethis&rows=5
2025-02-24T00:08:46-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-24T00:08:46-05:00 DEBUG: Deserialized SOLR response
Orbit Representations from Linear mod 1 Transformations

Orbit Representations from Linear mod 1 Transformations

We show that every point x0∈[0,1] carries a representation of a C∗-algebra that encodes the orbit structure of the linear mod 1 interval map fβ,α(x)=βx+α. Such C∗-algebra is generated by partial isometries arising from the subintervals of monotonicity of the underlying map fβ,α. Then we prove that s...

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Bibliographic Details
Main Authors: Correia Ramos, C., Martins, N., Pinto, P.R.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148466
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2025-02-24T00:08:46-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&rows=40&rows=5&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-148466%22&qt=morelikethis
2025-02-24T00:08:46-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&rows=40&rows=5&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-148466%22&qt=morelikethis
2025-02-24T00:08:46-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-24T00:08:46-05:00 DEBUG: Deserialized SOLR response

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