Document Search Results

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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control 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value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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form-control" type="text" name="q" value="ut:graph-directed construction" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>  </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>  </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>  </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>  </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>  </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>  </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>  </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>  </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>  </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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<a href="/authors/bolshakov.artem" title="Author Profile">Bolshakov, Artem</a>; <a href="/authors/lagarias.jeffrey-c" title="Author Profile">Lagarias, Jeffrey C.</a></div> <h3 class="title"> <a href="/1422.11163"><strong>Intersections of multiplicative translates of 3-adic Cantor sets. II: Two infinite families.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1422.11163">Zbl 1422.11163</a> </h3> <div class="source"> <a href="/serials/1825" title="Journal Profile">Exp. Math.</a> <a href="/?q=in%3A372282" title="Articles in this Issue">26, No. 4, 468-489 (2017)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A11K55" title="Metric theory of other algorithms and expansions; measure and Hausdorff dimension">11K55</a> <a class="mono" href="/classification/?q=cc%3A11S82" title="Non-Archimedean dynamical systems">11S82</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A28D20" title="Entropy and other invariants">28D20</a> <a class="mono" href="/classification/?q=cc%3A37B10" title="Symbolic dynamics">37B10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1422.11163" data-ciurl="/ci/06815610" data-biburl="/bibtex/06815610.bib" data-amsurl="/amsrefs/06815610.bib" data-xmlurl="/xml/06815610.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06815610.pdf" title="Zbl 1422.11163 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/10586458.2016.1205532" aria-label="DOI for “Intersections of multiplicative translates of 3-adic Cantor sets. II: Two infinite families”" title="10.1080/10586458.2016.1205532">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1508.05967"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6420161" value="6420161" aria-label="mark item Zbl 1332.11074"></div> <div class="author"><a href="/authors/abram.william-c" title="Author Profile">Abram, William C.</a>; <a href="/authors/lagarias.jeffrey-c" title="Author Profile">Lagarias, Jeffrey C.</a></div> <h3 class="title"> <a href="/1332.11074"><strong>Intersections of multiplicative translates of 3-adic Cantor sets.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1332.11074">Zbl 1332.11074</a> </h3> <div class="source"> <a href="/serials/8322" title="Journal Profile">J. Fractal Geom.</a> <a href="/?q=in%3A342669" title="Articles in this Issue">1, No. 4, 349-390 (2014)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10224">Chryssoula Ganatsiou (Larissa)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A11K55" title="Metric theory of other algorithms and expansions; measure and Hausdorff dimension">11K55</a> <a class="mono" href="/classification/?q=cc%3A11S82" title="Non-Archimedean dynamical systems">11S82</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A28D20" title="Entropy and other invariants">28D20</a> <a class="mono" href="/classification/?q=cc%3A37B10" title="Symbolic dynamics">37B10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1332.11074" data-ciurl="/ci/06420161" data-biburl="/bibtex/06420161.bib" data-amsurl="/amsrefs/06420161.bib" data-xmlurl="/xml/06420161.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06420161.pdf" title="Zbl 1332.11074 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/JFG/11" aria-label="DOI for “Intersections of multiplicative translates of 3-adic Cantor sets”" title="10.4171/JFG/11">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1308.3133"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6282919" value="6282919" aria-label="mark item Zbl 1291.11107"></div> <div class="author"><a href="/authors/abram.william-c" title="Author Profile">Abram, William C.</a>; <a href="/authors/lagarias.jeffrey-c" title="Author Profile">Lagarias, Jeffrey C.</a></div> <h3 class="title"> <a href="/1291.11107"><strong>$p$-adic path set fractals and arithmetic.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1291.11107">Zbl 1291.11107</a> </h3> <div class="source"> <a href="/serials/8322" title="Journal Profile">J. Fractal Geom.</a> <a href="/?q=in%3A330900" title="Articles in this Issue">1, No. 1, 45-81 (2014)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11642">Enrico Zoli (Firenze)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A11K55" title="Metric theory of other algorithms and expansions; measure and Hausdorff dimension">11K55</a> <a class="mono" href="/classification/?q=cc%3A11S82" title="Non-Archimedean dynamical systems">11S82</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A37B10" title="Symbolic dynamics">37B10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1291.11107" data-ciurl="/ci/06282919" data-biburl="/bibtex/06282919.bib" data-amsurl="/amsrefs/06282919.bib" data-xmlurl="/xml/06282919.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06282919.pdf" title="Zbl 1291.11107 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/JFG/2" aria-label="DOI for “$p$-adic path set fractals and arithmetic”" title="10.4171/JFG/2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1210.2478"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6176855" value="6176855" aria-label="mark item Zbl 1268.28015"></div> <div class="author"><a href="/authors/fan.shen" title="Author Profile">Fan, Shen</a>; <a href="/authors/liu.qinghui" title="Author Profile">Liu, Qing-Hui</a>; <a href="/authors/wen.zhi-ying" title="Author Profile">Wen, Zhi-Ying</a></div> <h3 class="title"> <a href="/1268.28015"><strong>Cookie-cutter-like sets with graph-directed construction.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1268.28015">Zbl 1268.28015</a> </h3> <div class="source"> Barral, Julien (ed.) et al., Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8399-3/hbk; 978-0-8176-8400-6/ebook). Trends in Mathematics, 235-254 (2013). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A28A78" title="Hausdorff and packing measures">28A78</a> <a class="mono" href="/classification/?q=cc%3A28C10" title="Set functions and measures on topological groups or semigroups, Haar measures, invariant measures">28C10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1268.28015" data-ciurl="/ci/06176855" data-biburl="/bibtex/06176855.bib" data-amsurl="/amsrefs/06176855.bib" data-xmlurl="/xml/06176855.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06176855.pdf" title="Zbl 1268.28015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-0-8176-8400-6_12" aria-label="DOI for “Cookie-cutter-like sets with graph-directed construction”" title="10.1007/978-0-8176-8400-6_12">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5844387" value="5844387" aria-label="mark item Zbl 1207.11017"></div> <div class="author"><a href="/authors/bernat.julien" title="Author Profile">Bernat, Julien</a>; <a href="/authors/loridant.benoit" title="Author Profile">Loridant, Benoît</a>; <a href="/authors/thuswaldner.jorg-maximilian" title="Author Profile">Thuswaldner, Jörg</a></div> <h3 class="title"> <a href="/1207.11017"><strong>Interior components of a tile associated to a quadratic canonical number system. II.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1207.11017">Zbl 1207.11017</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A267870" title="Articles in this Issue">18, No. 3, 385-397 (2010)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A11A63" title="Radix representation; digital problems">11A63</a> <a class="mono" href="/classification/?q=cc%3A11K55" title="Metric theory of other algorithms and expansions; measure and Hausdorff dimension">11K55</a> <a class="mono" href="/classification/?q=cc%3A11R11" title="Quadratic extensions">11R11</a> <a class="mono" href="/classification/?q=cc%3A28A78" title="Hausdorff and packing measures">28A78</a> <span class="mono" title="Multi-dimensional shifts of finite type, tiling dynamics (MSC2010)">37B50</span> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1207.11017" data-ciurl="/ci/05844387" data-biburl="/bibtex/05844387.bib" data-amsurl="/amsrefs/05844387.bib" data-xmlurl="/xml/05844387.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05844387.pdf" title="Zbl 1207.11017 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X10004920" aria-label="DOI for “Interior components of a tile associated to a quadratic canonical number system. II.”" title="10.1142/S0218348X10004920">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5246637" value="5246637" aria-label="mark item Zbl 1132.28313"></div> <div class="author"><a href="/authors/xi.lifeng" title="Author Profile">Xi, Li-feng</a>; <a href="/authors/ruan.huo-jun" title="Author Profile">Ruan, Huo-jun</a></div> <h3 class="title"> <a href="/1132.28313"><strong>Lipschitz equivalence of generalized $\{1,3,5\}-\{1,4,5\}$ self-similar sets.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1132.28313">Zbl 1132.28313</a> </h3> <div class="source"> <a href="/serials/1274" title="Journal Profile">Sci. China, Ser. A</a> <a href="/?q=in%3A215641" title="Articles in this Issue">50, No. 11, 1537-1551 (2007)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1132.28313" data-ciurl="/ci/05246637" data-biburl="/bibtex/05246637.bib" data-amsurl="/amsrefs/05246637.bib" data-xmlurl="/xml/05246637.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05246637.pdf" title="Zbl 1132.28313 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11425-007-0113-5" aria-label="DOI for “Lipschitz equivalence of generalized $\{1,3,5\}-\{1,4,5\}$ self-similar sets”" title="10.1007/s11425-007-0113-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1969067" value="1969067" aria-label="mark item Zbl 1027.37012"></div> <div class="author"><a href="/authors/he.xinggang" title="Author Profile">He, Xing-Gang</a>; <a href="/authors/lau.kasing" title="Author Profile">Lau, Ka-Sing</a>; <a href="/authors/rao.hui" title="Author Profile">Rao, Hui</a></div> <h3 class="title"> <a href="/1027.37012"><strong>Self-affine sets and graph-directed systems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1027.37012">Zbl 1027.37012</a> </h3> <div class="source"> <a href="/serials/1091" title="Journal Profile">Constructive Approximation</a> <a href="/?q=in%3A93435" title="Articles in this Issue">19, No. 3, 373-397 (2003)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A37C40" title="Smooth ergodic theory, invariant measures for smooth dynamical systems">37C40</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <span class="mono" title="Multi-dimensional shifts of finite type, tiling dynamics (MSC2010)">37B50</span> <a class="mono" href="/classification/?q=cc%3A37A05" title="Dynamical aspects of measure-preserving transformations">37A05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1027.37012" data-ciurl="/ci/01969067" data-biburl="/bibtex/01969067.bib" data-amsurl="/amsrefs/01969067.bib" data-xmlurl="/xml/01969067.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01969067.pdf" title="Zbl 1027.37012 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00365-002-0515-0" aria-label="DOI for “Self-affine sets and graph-directed systems”" title="10.1007/s00365-002-0515-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1932233" value="1932233" aria-label="mark item Zbl 1028.28005"></div> <div class="author"><a href="/authors/jang.jingli" title="Author Profile">Jang, Jingli</a></div> <h3 class="title"> <a href="/1028.28005"><strong>The dimensions of certain subsets of self-similar sets.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/1028.28005">Zbl 1028.28005</a> </h3> <div class="source"> <a href="/serials/886" title="Journal Profile">J. Math., Wuhan Univ.</a> <a href="/?q=in%3A88987" title="Articles in this Issue">22, No. 4, 449-452 (2002)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A28A78" title="Hausdorff and packing measures">28A78</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1028.28005" data-ciurl="/ci/01932233" data-biburl="/bibtex/01932233.bib" data-amsurl="/amsrefs/01932233.bib" data-xmlurl="/xml/01932233.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01932233.pdf" title="Zbl 1028.28005 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1829688" value="1829688" aria-label="mark item Zbl 1052.28008"></div> <div class="author"><a href="/authors/xu.hui.2" title="Author Profile">Xu, Hui</a></div> <h3 class="title"> <a href="/1052.28008"><strong>The Hausdorff dimension and measure of conformal graph-directed sets.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/1052.28008">Zbl 1052.28008</a> </h3> <div class="source"> <a href="/serials/283" title="Journal Profile">Acta Math. Sin.</a> <a href="/?q=in%3A90016" title="Articles in this Issue">44, No. 4, 633-640 (2001)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A28A78" title="Hausdorff and packing measures">28A78</a> <a class="mono" href="/classification/?q=cc%3A37C45" title="Dimension theory of smooth dynamical systems">37C45</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1052.28008" data-ciurl="/ci/01829688" data-biburl="/bibtex/01829688.bib" data-amsurl="/amsrefs/01829688.bib" data-xmlurl="/xml/01829688.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01829688.pdf" title="Zbl 1052.28008 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4159011" value="4159011" aria-label="mark item Zbl 0706.28007"></div> <div class="author"><a href="/authors/mauldin.richard-daniel" title="Author Profile">Mauldin, R. Daniel</a>; <a href="/authors/?q=ai%3Awilliams.s-c-r%7Cwilliams.stanley-c" title="Author Profile">Williams, S. C.</a></div> <h3 class="title"> <a href="/0706.28007"><strong>Hausdorff dimension in graph directed constructions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0706.28007">Zbl 0706.28007</a> </h3> <div class="source"> <a href="/serials/744" title="Journal Profile">Trans. Am. Math. Soc.</a> <a href="/?q=in%3A174863" title="Articles in this Issue">309, No. 2, 811-829 (1988)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A28A78" title="Hausdorff and packing measures">28A78</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" 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class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2307/2000940" aria-label="DOI for “Hausdorff dimension in graph directed constructions”" title="10.2307/2000940">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by …</h2> <div class="filter filter-dt"> <h3 class="filter-caption">Document Type</h3> <ul><li> <a href="/?q=ut%3Agraph-directed+construction+dt%3Aj" title="Articles in Journals">Journal Articles</a> (9) </li><li> <a href="/?q=ut%3Agraph-directed+construction+dt%3Aa" title="Articles in Conference Proceedings and Collected Volumes">Collection Articles</a> (1) </li></ul> </div> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a 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href="/?q=ut%3Agraph-directed+construction+ai%3Aloridant.benoit">Loridant, Benoit</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Amauldin.richard-daniel">Mauldin, Richard Daniel</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Arao.hui">Rao, Hui</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Aruan.huo-jun">Ruan, Huo-Jun</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Athuswaldner.jorg-maximilian">Thuswaldner, Jörg Maximilian</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Awen.zhi-ying">Wen, Zhi-Ying</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Axi.lifeng">Xi, Lifeng</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+ai%3Axu.hui.2">Xu, Hui</a> (1) </li></ul> </div> <div class="filter filter-se"><a tabindex="0" class="more">all <i class="caret"></i></a> <a 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Fractal Geom. </a> (2)</li><li> <a href="/?q=ut%3Agraph-directed+construction+se%3A283" title="Acta Mathematica Sinica">Acta Math. Sin. </a> (1)</li><li> <a href="/?q=ut%3Agraph-directed+construction+se%3A744" title="Transactions of the American Mathematical Society">Trans. Am. Math. Soc. </a> (1)</li><li> <a href="/?q=ut%3Agraph-directed+construction+se%3A886" title="Journal of Mathematics. Wuhan University">J. Math., Wuhan Univ. </a> (1)</li><li> <a href="/?q=ut%3Agraph-directed+construction+se%3A1091" title="Constructive Approximation">Constr. Approx. </a> (1)</li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+se%3A1274" title="Science in China. Series A">Sci. China, Ser. A </a> (1)</li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+se%3A1825" title="Experimental Mathematics">Exp. Math. </a> (1)</li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+se%3A2026" title="Fractals">Fractals </a> (1)</li></ul> </div> <div class="filter filter-py"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Year of Publication</h3> <ul><li> <a href="/?q=ut%3Agraph-directed+construction+py%3A2017">2017</a> (1) </li><li> <a href="/?q=ut%3Agraph-directed+construction+py%3A2014">2014</a> (2) </li><li> <a href="/?q=ut%3Agraph-directed+construction+py%3A2013">2013</a> (1) </li><li> <a href="/?q=ut%3Agraph-directed+construction+py%3A2010">2010</a> (1) </li><li> <a href="/?q=ut%3Agraph-directed+construction+py%3A2007">2007</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+py%3A2003">2003</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+py%3A2002">2002</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+py%3A2001">2001</a> (1) </li><li class="more"> <a href="/?q=ut%3Agraph-directed+construction+py%3A1988">1988</a> (1) </li> </ul> </div> <div class="filter filter-cc"><h3 class="filter-caption">Main Field</h3> <ul><li> <a class="" href="/?q=ut%3Agraph-directed+construction+cc%3A28" title="Measure and integration">28-XX </a> (10) </li><li> <a class="" href="/?q=ut%3Agraph-directed+construction+cc%3A37" title="Dynamical systems and ergodic theory">37-XX </a> (6) </li><li> <a class="" href="/?q=ut%3Agraph-directed+construction+cc%3A11" title="Number theory">11-XX </a> (4) </li></ul> </div> </section> <div class="content-clear"></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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