The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks, Series Number 4) - Softcover

Book 4 of 15: Institute of Mathematical Statistics Textbooks

Romik, Dan

 
9781107428829: The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks, Series Number 4)

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Dan Romik is Professor of Mathematics at the University of California, Davis.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781107075832: The Surprising Mathematics of Longest Increasing Subsequences (Institute of Mathematical Statistics Textbooks, Series Number 4)

Featured Edition

ISBN 10:  1107075831 ISBN 13:  9781107075832
Publisher: Cambridge University Press, 2015
Hardcover