Document Zbl 1257.82117

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Math. Phys.</a> <a href="/?q=in%3A313467" title="Articles in this Issue">317, No. 2, 363-380 (2013)</a>. </div> <div class="abstract">Summary: We give an explicit formula for the joint density of the max and argmax of the Airy$_{2}$ process minus a parabola. The argmax has a universal distribution which governs the rescaled endpoint for large time or temperature of directed polymers in $1+1$ dimensions.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A6134719">Cited in <strong>3</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A6134719">Cited in <strong>44</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A82D60" title="MSC2020">82D60</a> </td> <td class="space"> Statistical mechanics of polymers </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A82C43" title="MSC2020">82C43</a> </td> <td class="space"> Time-dependent percolation in statistical mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A82C41" title="MSC2020">82C41</a> </td> <td class="space"> Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3AAiry%5C%28_%7B2%7D%5C%29+process">Airy$_{2}$ process</a>; <a href="/?q=ut%3Adirected+polymers">directed polymers</a>; <a href="/?q=ut%3Alast+passage+percolation">last passage percolation</a>; <a href="/?q=ut%3Anearest+neighbor+random+walks">nearest neighbor random walks</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 1257.82117" data-ciurl="/ci/06134719" data-biburl="/bibtex/06134719.bib" data-amsurl="/amsrefs/06134719.bib" data-xmlurl="/xml/06134719.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06134719.pdf" title="Zbl 1257.82117 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/s00220-012-1583-z" aria-label="DOI for “Endpoint distribution of directed polymers in $1 + 1$ dimensions”" title="10.1007/s00220-012-1583-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1106.2716"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Amir G., Corwin I., Quastel J.: Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions. 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