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Combinatorics and Random Matrix Theory PDF

478 Pages·2016·4.1054 MB·other
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by Jinho Baik Percy Deift| 2016| 478 pages| 4.1054| other

About Combinatorics and Random Matrix Theory

<p>As a consequence of certain independent developments in mathematics in</p><p>recent years, a wide variety of problems in combinatorics, some of long stand-</p><p>ing, can now be solved in terms of random matrix theory (RMT). The goal</p><p>of this book is to describe in detail these developments and some of their</p><p>applications to problems in combinatorics. The book is based on courses on</p><p>two key examples from combinatorial theory, viz., Ulam’s increasing sub-</p><p>sequence problem, and the Aztec diamond. These courses were given at</p><p>the Courant Institute and the University of Michigan by two of the authors</p><p>(P.D. and J.B., respectively) some ten years ago.</p><p>The authors are pleased to acknowledge the suggestions, help, and infor-</p><p>mation they obtained from many colleagues: Eitan Bachmat, Gerard Ben</p><p>Arous, Alexei Borodin, Thomas Kriecherbauer, Eric Nordenstam, Andrew</p><p>Odlyzko, Eric Rains, Raghu Varadhan, and Ofer Zeitouni. In particular,</p><p>Eitan Bachmat and Thomas Kriecherbauer took on the task of reading the</p><p>manuscript in full, catching typos, and suggesting many very helpful changes</p><p>to the text. The authors would also like to acknowledge the support of NSF</p><p>over the years when this book was written in the form of Grants DMS-</p><p>0457335, DMS-0757709, DMS-1068646, and DMS-1361782 for J.B., DMS-</p><p>0500923, DMS-1001886, and DMS-1300965 for P.D., and DMS-0553403 and</p><p>DMS-0202530 for T.S. The first author (J.B.) and the third author (T.S.)</p><p>would, in addition, like to acknowledge the support of an AMS Centen-</p><p>nial Fellowship (2004–2005) and a Sloan Research Fellowship (2008-2010),</p><p>respectively.</p>

Detailed Information

Author:Jinho Baik Percy Deift
Publication Year:2016
ISBN:821848410
Pages:478
Language:other
File Size:4.1054
Format:PDF
Price:FREE
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