Ledrappier-Young formulae for a family of nonlinear attractors
We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a class which includes the well-known class of Gibbs measures for H\&qu...
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 | Jurga, Natalia Lee, Lawrence D |
| description | We study a natural class of invariant measures supported on the attractors of
a family of nonlinear, non-conformal iterated function systems introduced by
Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a
class which includes the well-known class of Gibbs measures for H\"older
continuous potentials. We show that these measures are exact dimensional and
that their exact dimensions satisfy a Ledrappier-Young formula. |
| doi_str_mv | 10.48550/arxiv.2012.03314 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2012_03314</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2012_03314</sourcerecordid><originalsourceid>FETCH-LOGICAL-a674-48f6fecd5440f80823ce60389154f27c6eb6dba5b8ce5997fb6a7f267445a8bc3</originalsourceid><addsrcrecordid>eNotj8tqwzAURLXpoqT5gK6qH7Ar62V5UyihSQuGbrLpylzJ9xaBbRnFKc3f59GuZhg4A4exx0qU2hkjniH_xp9SikqWQqlK37OXFvsM8xwxF1_pOH1zSnk8DoDXwoETjHE48UR8StMQJ4TLuiwZwpLy4YHdEQwHXP_niu23b_vNe9F-7j42r20BttaFdmQJQ2-0FuSEkyqgFco1ldEk62DR296D8S6gaZqavIWa5AXVBpwPasWe_m5vAt2c4wj51F1FupuIOgOlJUOG</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Ledrappier-Young formulae for a family of nonlinear attractors</title><source>arXiv.org</source><creator>Jurga, Natalia ; Lee, Lawrence D</creator><creatorcontrib>Jurga, Natalia ; Lee, Lawrence D</creatorcontrib><description>We study a natural class of invariant measures supported on the attractors of
a family of nonlinear, non-conformal iterated function systems introduced by
Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a
class which includes the well-known class of Gibbs measures for H\"older
continuous potentials. We show that these measures are exact dimensional and
that their exact dimensions satisfy a Ledrappier-Young formula.</description><identifier>DOI: 10.48550/arxiv.2012.03314</identifier><language>eng</language><subject>Mathematics - Classical Analysis and ODEs ; Mathematics - Dynamical Systems ; Mathematics - Metric Geometry</subject><creationdate>2020-12</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/2012.03314$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2012.03314$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Jurga, Natalia</creatorcontrib><creatorcontrib>Lee, Lawrence D</creatorcontrib><title>Ledrappier-Young formulae for a family of nonlinear attractors</title><description>We study a natural class of invariant measures supported on the attractors of
a family of nonlinear, non-conformal iterated function systems introduced by
Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a
class which includes the well-known class of Gibbs measures for H\"older
continuous potentials. We show that these measures are exact dimensional and
that their exact dimensions satisfy a Ledrappier-Young formula.</description><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Dynamical Systems</subject><subject>Mathematics - Metric Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tqwzAURLXpoqT5gK6qH7Ar62V5UyihSQuGbrLpylzJ9xaBbRnFKc3f59GuZhg4A4exx0qU2hkjniH_xp9SikqWQqlK37OXFvsM8xwxF1_pOH1zSnk8DoDXwoETjHE48UR8StMQJ4TLuiwZwpLy4YHdEQwHXP_niu23b_vNe9F-7j42r20BttaFdmQJQ2-0FuSEkyqgFco1ldEk62DR296D8S6gaZqavIWa5AXVBpwPasWe_m5vAt2c4wj51F1FupuIOgOlJUOG</recordid><startdate>20201206</startdate><enddate>20201206</enddate><creator>Jurga, Natalia</creator><creator>Lee, Lawrence D</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201206</creationdate><title>Ledrappier-Young formulae for a family of nonlinear attractors</title><author>Jurga, Natalia ; Lee, Lawrence D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-48f6fecd5440f80823ce60389154f27c6eb6dba5b8ce5997fb6a7f267445a8bc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Dynamical Systems</topic><topic>Mathematics - Metric Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Jurga, Natalia</creatorcontrib><creatorcontrib>Lee, Lawrence D</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jurga, Natalia</au><au>Lee, Lawrence D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Ledrappier-Young formulae for a family of nonlinear attractors</atitle><date>2020-12-06</date><risdate>2020</risdate><abstract>We study a natural class of invariant measures supported on the attractors of
a family of nonlinear, non-conformal iterated function systems introduced by
Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a
class which includes the well-known class of Gibbs measures for H\"older
continuous potentials. We show that these measures are exact dimensional and
that their exact dimensions satisfy a Ledrappier-Young formula.</abstract><doi>10.48550/arxiv.2012.03314</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2012.03314 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2012_03314 |
| source | arXiv.org |
| subjects | Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems Mathematics - Metric Geometry |
| title | Ledrappier-Young formulae for a family of nonlinear attractors |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T21%3A37%3A13IST&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=Ledrappier-Young%20formulae%20for%20a%20family%20of%20nonlinear%20attractors&rft.au=Jurga,%20Natalia&rft.date=2020-12-06&rft_id=info:doi/10.48550/arxiv.2012.03314&rft_dat=%3Carxiv_GOX%3E2012_03314%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 |