The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms
The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc. 26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn. 13 (2018), 43–113] constructed symboli...
Gespeichert in:
| Veröffentlicht in: | Ergodic theory and dynamical systems 2021-11, Vol.41 (11), p.3244-3269, Article 0143385720001145 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 3269 |
|---|---|
| container_issue | 11 |
| container_start_page | 3244 |
| container_title | Ergodic theory and dynamical systems |
| container_volume | 41 |
| creator | BEN OVADIA, SNIR |
| description | The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc. 26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn. 13 (2018), 43–113] constructed symbolic dynamics for the restriction of
$C^r$
diffeomorphisms to a set
$M'$
with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set
$M'$
was not identified there. We improve the construction in a way that enables
$M'$
to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys. 306(1) (2011), 35–49]. |
| doi_str_mv | 10.1017/etds.2020.114 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cambr</sourceid><recordid>TN_cdi_cambridge_journals_10_1017_etds_2020_114</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_etds_2020_114</cupid><sourcerecordid>2579471164</sourcerecordid><originalsourceid>FETCH-LOGICAL-c344t-d72c09bb2a8e32c87ae74bbeff60157c300f91f78616bb008b9b59dc35b44dd73</originalsourceid><addsrcrecordid>eNqNkE1PxCAQhonRxPXj6J3Eo-kuFFrao9n4lWi86JkABRfdQgXqpv9eNrvRiwfnMkPyzPDmAeACozlGmC106uK8RGV-YnoAZpjWbUEpZodghjAlBWkqdgxOYnxHCBHMqhngLysNo07QGzh461KEG5tW8EmED_9lhYNx6qVfWwW7yYneqgiND9B5V4zO5rFfT3A1DTrsKWuM9r0Pw8rGPp6BIyPWUZ_v-yl4vb15Wd4Xj893D8vrx0IRSlPRsVKhVspSNJqUqmFCMyqlNqZGuGKKIGRabFhT41pKhBrZyqrtFKkkpV3HyCm43N0dgv8cdUz83Y_B5S95WbGWMoxrmqliR6ngYwza8CHYXoSJY8S3DvnWId865Nlh5q92_EZLb6Ky2in9s5MlshKXpEHbqjLd_J9e2iSS9W7pR5fy6mIfTPQy2O5N_-b_O9o3BuuXBg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2579471164</pqid></control><display><type>article</type><title>The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms</title><source>Cambridge University Press Journals Complete</source><creator>BEN OVADIA, SNIR</creator><creatorcontrib>BEN OVADIA, SNIR</creatorcontrib><description>The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc. 26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn. 13 (2018), 43–113] constructed symbolic dynamics for the restriction of
$C^r$
diffeomorphisms to a set
$M'$
with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set
$M'$
was not identified there. We improve the construction in a way that enables
$M'$
to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys. 306(1) (2011), 35–49].</description><identifier>ISSN: 0143-3857</identifier><identifier>EISSN: 1469-4417</identifier><identifier>DOI: 10.1017/etds.2020.114</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Decomposition ; Dynamics ; Isomorphism ; Mathematics ; Mathematics, Applied ; Orbits ; Original Article ; Physical Sciences ; Science & Technology</subject><ispartof>Ergodic theory and dynamical systems, 2021-11, Vol.41 (11), p.3244-3269, Article 0143385720001145</ispartof><rights>The Author(s), 2020. Published by Cambridge University Press</rights><rights>The Author(s), 2020. Published by Cambridge University Press. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>2</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000721238000005</woscitedreferencesoriginalsourcerecordid><citedby>FETCH-LOGICAL-c344t-d72c09bb2a8e32c87ae74bbeff60157c300f91f78616bb008b9b59dc35b44dd73</citedby><cites>FETCH-LOGICAL-c344t-d72c09bb2a8e32c87ae74bbeff60157c300f91f78616bb008b9b59dc35b44dd73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0143385720001145/type/journal_article$$EHTML$$P50$$Gcambridge$$Hfree_for_read</linktohtml><link.rule.ids>164,315,781,785,27928,27929,55632</link.rule.ids></links><search><creatorcontrib>BEN OVADIA, SNIR</creatorcontrib><title>The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms</title><title>Ergodic theory and dynamical systems</title><addtitle>ERGOD THEOR DYN SYST</addtitle><addtitle>Ergod. Th. Dynam. Sys</addtitle><description>The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc. 26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn. 13 (2018), 43–113] constructed symbolic dynamics for the restriction of
$C^r$
diffeomorphisms to a set
$M'$
with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set
$M'$
was not identified there. We improve the construction in a way that enables
$M'$
to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys. 306(1) (2011), 35–49].</description><subject>Decomposition</subject><subject>Dynamics</subject><subject>Isomorphism</subject><subject>Mathematics</subject><subject>Mathematics, Applied</subject><subject>Orbits</subject><subject>Original Article</subject><subject>Physical Sciences</subject><subject>Science & Technology</subject><issn>0143-3857</issn><issn>1469-4417</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>IKXGN</sourceid><sourceid>HGBXW</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqNkE1PxCAQhonRxPXj6J3Eo-kuFFrao9n4lWi86JkABRfdQgXqpv9eNrvRiwfnMkPyzPDmAeACozlGmC106uK8RGV-YnoAZpjWbUEpZodghjAlBWkqdgxOYnxHCBHMqhngLysNo07QGzh461KEG5tW8EmED_9lhYNx6qVfWwW7yYneqgiND9B5V4zO5rFfT3A1DTrsKWuM9r0Pw8rGPp6BIyPWUZ_v-yl4vb15Wd4Xj893D8vrx0IRSlPRsVKhVspSNJqUqmFCMyqlNqZGuGKKIGRabFhT41pKhBrZyqrtFKkkpV3HyCm43N0dgv8cdUz83Y_B5S95WbGWMoxrmqliR6ngYwza8CHYXoSJY8S3DvnWId865Nlh5q92_EZLb6Ky2in9s5MlshKXpEHbqjLd_J9e2iSS9W7pR5fy6mIfTPQy2O5N_-b_O9o3BuuXBg</recordid><startdate>20211101</startdate><enddate>20211101</enddate><creator>BEN OVADIA, SNIR</creator><general>Cambridge University Press</general><general>Cambridge Univ Press</general><scope>IKXGN</scope><scope>BLEPL</scope><scope>DTL</scope><scope>HGBXW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7U5</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20211101</creationdate><title>The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms</title><author>BEN OVADIA, SNIR</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c344t-d72c09bb2a8e32c87ae74bbeff60157c300f91f78616bb008b9b59dc35b44dd73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Decomposition</topic><topic>Dynamics</topic><topic>Isomorphism</topic><topic>Mathematics</topic><topic>Mathematics, Applied</topic><topic>Orbits</topic><topic>Original Article</topic><topic>Physical Sciences</topic><topic>Science & Technology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>BEN OVADIA, SNIR</creatorcontrib><collection>Cambridge University Press Wholly Gold Open Access Journals</collection><collection>Web of Science Core Collection</collection><collection>Science Citation Index Expanded</collection><collection>Web of Science - Science Citation Index Expanded - 2021</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Ergodic theory and dynamical systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>BEN OVADIA, SNIR</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms</atitle><jtitle>Ergodic theory and dynamical systems</jtitle><stitle>ERGOD THEOR DYN SYST</stitle><addtitle>Ergod. Th. Dynam. Sys</addtitle><date>2021-11-01</date><risdate>2021</risdate><volume>41</volume><issue>11</issue><spage>3244</spage><epage>3269</epage><pages>3244-3269</pages><artnum>0143385720001145</artnum><issn>0143-3857</issn><eissn>1469-4417</eissn><abstract>The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc. 26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn. 13 (2018), 43–113] constructed symbolic dynamics for the restriction of
$C^r$
diffeomorphisms to a set
$M'$
with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set
$M'$
was not identified there. We improve the construction in a way that enables
$M'$
to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys. 306(1) (2011), 35–49].</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/etds.2020.114</doi><tpages>26</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0143-3857 |
| ispartof | Ergodic theory and dynamical systems, 2021-11, Vol.41 (11), p.3244-3269, Article 0143385720001145 |
| issn | 0143-3857 1469-4417 |
| language | eng |
| recordid | cdi_cambridge_journals_10_1017_etds_2020_114 |
| source | Cambridge University Press Journals Complete |
| subjects | Decomposition Dynamics Isomorphism Mathematics Mathematics, Applied Orbits Original Article Physical Sciences Science & Technology |
| title | The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-17T12%3A45%3A00IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cambr&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20set%20of%20points%20with%20Markovian%20symbolic%20dynamics%20for%20non-uniformly%20hyperbolic%20diffeomorphisms&rft.jtitle=Ergodic%20theory%20and%20dynamical%20systems&rft.au=BEN%20OVADIA,%20SNIR&rft.date=2021-11-01&rft.volume=41&rft.issue=11&rft.spage=3244&rft.epage=3269&rft.pages=3244-3269&rft.artnum=0143385720001145&rft.issn=0143-3857&rft.eissn=1469-4417&rft_id=info:doi/10.1017/etds.2020.114&rft_dat=%3Cproquest_cambr%3E2579471164%3C/proquest_cambr%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2579471164&rft_id=info:pmid/&rft_cupid=10_1017_etds_2020_114&rfr_iscdi=true |