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portada The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks)
Type
Physical Book
Author
Publisher
Year
2015
Language
English
Pages
366
Format
Hardcover
Dimensions
23.1x15.7x2.5 cm
Weight
0.64 kg.
ISBN13
9781107075832
Edition No.
1
Categories

The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks)

Dan Romik (Author) · Cambridge University Press · Hardcover

The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks) - Romik, Dan

New Book Imported to South Africa
Delivery: 28 Oct - 05 Nov Shipping: 1 to 2 business days.
R 2,489
R 2,489

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Synopsis "The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks) "

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 40 years, is made accessible to a general graduate-level audience for the first time in a highly polished presentation.

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