Multipoint Estimates for Radial and Whole-plane SLE
We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve, $\kappa\in(0,8)$, comes within specified radii of $n$ different points in the unit disc. Using this estimate, we then prove a similar upper bound for a whole-plane SLE$_{\kappa}$ curve. We then use these estimates to show...
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 | Mackey, Benjamin Zhan, Dapeng |
| description | We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve,
$\kappa\in(0,8)$, comes within specified radii of $n$ different points in the
unit disc. Using this estimate, we then prove a similar upper bound for a
whole-plane SLE$_{\kappa}$ curve. We then use these estimates to show that the
lower Minkowski content of both the radial and whole-plane SLE$_{\kappa}$
traces restricted in a bounded region have finite moments of any order. |
| doi_str_mv | 10.48550/arxiv.1710.04261 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1710_04261</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1710_04261</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-73d5314d18cccb200a4b56eb6db4107d02bac3680e0083f286d3caf2c8eb12f03</originalsourceid><addsrcrecordid>eNotzstqwkAYhuHZdCHWC3DVuYHYfw6ZzLZIqkKkYANdhn9OdGCahCSK3r2nrj54Fx8PIUsGK6nzHN5xOMfTihW3AJIrNiNif0xT7LvYTrQcp_iHkx9p6AZ6QBcxUWwd_fntks_6hK2n31X5Sl4CptEv_ndO6s-yXm-z6muzW39UGaqCZYVwuWDSMW2tNRwApcmVN8oZyaBwwA1aoTR4AC0C18oJi4Fb7Q3jAcScvD1vH-qmH2644dLc9c1DL665Mj5j</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Multipoint Estimates for Radial and Whole-plane SLE</title><source>arXiv.org</source><creator>Mackey, Benjamin ; Zhan, Dapeng</creator><creatorcontrib>Mackey, Benjamin ; Zhan, Dapeng</creatorcontrib><description>We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve,
$\kappa\in(0,8)$, comes within specified radii of $n$ different points in the
unit disc. Using this estimate, we then prove a similar upper bound for a
whole-plane SLE$_{\kappa}$ curve. We then use these estimates to show that the
lower Minkowski content of both the radial and whole-plane SLE$_{\kappa}$
traces restricted in a bounded region have finite moments of any order.</description><identifier>DOI: 10.48550/arxiv.1710.04261</identifier><language>eng</language><subject>Mathematics - Probability</subject><creationdate>2017-10</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1710.04261$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1710.04261$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Mackey, Benjamin</creatorcontrib><creatorcontrib>Zhan, Dapeng</creatorcontrib><title>Multipoint Estimates for Radial and Whole-plane SLE</title><description>We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve,
$\kappa\in(0,8)$, comes within specified radii of $n$ different points in the
unit disc. Using this estimate, we then prove a similar upper bound for a
whole-plane SLE$_{\kappa}$ curve. We then use these estimates to show that the
lower Minkowski content of both the radial and whole-plane SLE$_{\kappa}$
traces restricted in a bounded region have finite moments of any order.</description><subject>Mathematics - Probability</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzstqwkAYhuHZdCHWC3DVuYHYfw6ZzLZIqkKkYANdhn9OdGCahCSK3r2nrj54Fx8PIUsGK6nzHN5xOMfTihW3AJIrNiNif0xT7LvYTrQcp_iHkx9p6AZ6QBcxUWwd_fntks_6hK2n31X5Sl4CptEv_ndO6s-yXm-z6muzW39UGaqCZYVwuWDSMW2tNRwApcmVN8oZyaBwwA1aoTR4AC0C18oJi4Fb7Q3jAcScvD1vH-qmH2644dLc9c1DL665Mj5j</recordid><startdate>20171011</startdate><enddate>20171011</enddate><creator>Mackey, Benjamin</creator><creator>Zhan, Dapeng</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20171011</creationdate><title>Multipoint Estimates for Radial and Whole-plane SLE</title><author>Mackey, Benjamin ; Zhan, Dapeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-73d5314d18cccb200a4b56eb6db4107d02bac3680e0083f286d3caf2c8eb12f03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Probability</topic><toplevel>online_resources</toplevel><creatorcontrib>Mackey, Benjamin</creatorcontrib><creatorcontrib>Zhan, Dapeng</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Mackey, Benjamin</au><au>Zhan, Dapeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Multipoint Estimates for Radial and Whole-plane SLE</atitle><date>2017-10-11</date><risdate>2017</risdate><abstract>We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve,
$\kappa\in(0,8)$, comes within specified radii of $n$ different points in the
unit disc. Using this estimate, we then prove a similar upper bound for a
whole-plane SLE$_{\kappa}$ curve. We then use these estimates to show that the
lower Minkowski content of both the radial and whole-plane SLE$_{\kappa}$
traces restricted in a bounded region have finite moments of any order.</abstract><doi>10.48550/arxiv.1710.04261</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.1710.04261 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_1710_04261 |
| source | arXiv.org |
| subjects | Mathematics - Probability |
| title | Multipoint Estimates for Radial and Whole-plane SLE |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-12T22%3A59%3A08IST&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=Multipoint%20Estimates%20for%20Radial%20and%20Whole-plane%20SLE&rft.au=Mackey,%20Benjamin&rft.date=2017-10-11&rft_id=info:doi/10.48550/arxiv.1710.04261&rft_dat=%3Carxiv_GOX%3E1710_04261%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 |