Effects of randomization on asymptotic periodicity of nonsingular transformations
It is known that the Perron--Frobenius operators of piecewise expanding $\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities. On the other hand, external noise or measurement errors are unavoidable in practical systems; therefore, all realistic mathematical models should be...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Ishitani, Hiroshi Ishitani, Kensuke |
| description | It is known that the Perron--Frobenius operators of piecewise expanding
$\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities.
On the other hand, external noise or measurement errors are unavoidable in
practical systems; therefore, all realistic mathematical models should be
regarded as random iterations of transformations. This paper aims to discuss
the effects of randomization on the asymptotic periodicity of densities. |
| doi_str_mv | 10.48550/arxiv.1409.3649 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1409_3649</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1409_3649</sourcerecordid><originalsourceid>FETCH-LOGICAL-a659-cfd2d137ebb292161f2039b28fdcf3fd5cb4eaa4f30c45c65829f6a15fd81e223</originalsourceid><addsrcrecordid>eNotj81KxDAYRbNxIaN7V5IXaM2_zVKG8QcGZGD25WuSTwLTpiRRrE_vdBQu3M09Fw4hd5y1qtOaPUD-jl8tV8y20ih7TQ47xOBqoQlphsmnMf5AjWmi50BZxrmmGh2dQ47JRxfrsk6nNJU4fXyeINN65gqmPF64ckOuEE4l3P73hhyfd8fta7N_f3nbPu0bMNo2Dr3wXD6GYRBWcMNRMGkH0aF3KNFrN6gAoFAyp7QzuhMWDXCNvuNBCLkh93-3F6V-znGEvPSrWr-qyV99_UwL</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Effects of randomization on asymptotic periodicity of nonsingular transformations</title><source>arXiv.org</source><creator>Ishitani, Hiroshi ; Ishitani, Kensuke</creator><creatorcontrib>Ishitani, Hiroshi ; Ishitani, Kensuke</creatorcontrib><description>It is known that the Perron--Frobenius operators of piecewise expanding
$\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities.
On the other hand, external noise or measurement errors are unavoidable in
practical systems; therefore, all realistic mathematical models should be
regarded as random iterations of transformations. This paper aims to discuss
the effects of randomization on the asymptotic periodicity of densities.</description><identifier>DOI: 10.48550/arxiv.1409.3649</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2014-09</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1409.3649$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1409.3649$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Ishitani, Hiroshi</creatorcontrib><creatorcontrib>Ishitani, Kensuke</creatorcontrib><title>Effects of randomization on asymptotic periodicity of nonsingular transformations</title><description>It is known that the Perron--Frobenius operators of piecewise expanding
$\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities.
On the other hand, external noise or measurement errors are unavoidable in
practical systems; therefore, all realistic mathematical models should be
regarded as random iterations of transformations. This paper aims to discuss
the effects of randomization on the asymptotic periodicity of densities.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81KxDAYRbNxIaN7V5IXaM2_zVKG8QcGZGD25WuSTwLTpiRRrE_vdBQu3M09Fw4hd5y1qtOaPUD-jl8tV8y20ih7TQ47xOBqoQlphsmnMf5AjWmi50BZxrmmGh2dQ47JRxfrsk6nNJU4fXyeINN65gqmPF64ckOuEE4l3P73hhyfd8fta7N_f3nbPu0bMNo2Dr3wXD6GYRBWcMNRMGkH0aF3KNFrN6gAoFAyp7QzuhMWDXCNvuNBCLkh93-3F6V-znGEvPSrWr-qyV99_UwL</recordid><startdate>20140912</startdate><enddate>20140912</enddate><creator>Ishitani, Hiroshi</creator><creator>Ishitani, Kensuke</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20140912</creationdate><title>Effects of randomization on asymptotic periodicity of nonsingular transformations</title><author>Ishitani, Hiroshi ; Ishitani, Kensuke</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a659-cfd2d137ebb292161f2039b28fdcf3fd5cb4eaa4f30c45c65829f6a15fd81e223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Ishitani, Hiroshi</creatorcontrib><creatorcontrib>Ishitani, Kensuke</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ishitani, Hiroshi</au><au>Ishitani, Kensuke</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effects of randomization on asymptotic periodicity of nonsingular transformations</atitle><date>2014-09-12</date><risdate>2014</risdate><abstract>It is known that the Perron--Frobenius operators of piecewise expanding
$\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities.
On the other hand, external noise or measurement errors are unavoidable in
practical systems; therefore, all realistic mathematical models should be
regarded as random iterations of transformations. This paper aims to discuss
the effects of randomization on the asymptotic periodicity of densities.</abstract><doi>10.48550/arxiv.1409.3649</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.1409.3649 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_1409_3649 |
| source | arXiv.org |
| subjects | Mathematics - Dynamical Systems |
| title | Effects of randomization on asymptotic periodicity of nonsingular transformations |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T06%3A43%3A43IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Effects%20of%20randomization%20on%20asymptotic%20periodicity%20of%20nonsingular%20transformations&rft.au=Ishitani,%20Hiroshi&rft.date=2014-09-12&rft_id=info:doi/10.48550/arxiv.1409.3649&rft_dat=%3Carxiv_GOX%3E1409_3649%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |