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The Surprising Mathematics of Longest Increasing Subsequences by Dan Romik
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The Surprising Mathematics of Longest Increasing Subsequences

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Description

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.

Author Biography:

Dan Romik is Professor of Mathematics at the University of California, Davis.
Release date NZ
February 2nd, 2015
Author
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 3 Halftones, unspecified
Pages
363
Dimensions
152x227x20
ISBN-13
9781107428829
Product ID
22184597

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