Have The Surprising Mathematics of Longest Increasing Subsequences

The Surprising Mathematics of Longest Increasing Subsequences
By:Dan Romik
Published on 2015-02-02 by Cambridge University Press

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In a surprising sequence of developments, the longest increasing subsequence problem, originally mentioned as merely a curious example in a 1961 paper, has proven to have deep connections to many seemingly unrelated branches of mathematics, such as random permutations, random matrices, Young tableaux, and the corner growth model. The detailed and playful study of these connections makes this book suitable as a starting point for a wider exploration of elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists and statisticians. The specific topics covered are the Vershik-Kerov–Logan-Shepp limit shape theorem, the Baik–Deift–Johansson theorem, the Tracy–Widom distribution, and the corner growth process. This exciting body of work, encompassing important advances in probability and combinatorics over the last forty years, is made accessible to a general graduate-level audience for the first time in a highly polished presentation.

This Book was ranked at 9 by Google Books for keyword Math.

Book ID of The Surprising Mathematics of Longest Increasing Subsequences's Books is pDbJBAAAQBAJ, Book which was written byDan Romikhave ETAG "3i3prsP0nj4"

Book which was published by Cambridge University Press since 2015-02-02 have ISBNs, ISBN 13 Code is 9781107075832 and ISBN 10 Code is 1107075831

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