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Exploring the longest increasing subsequence problem reveals its intriguing connections to diverse mathematical fields, including random permutations and matrices. This book offers a playful yet detailed examination of these links, making complex concepts accessible to graduate students in mathematics, computer science, physics, and statistics. Key topics include the Vershik-Kerov-Logan-Shepp theorem, the Baik-Deift-Johansson theorem, and the Tracy-Widom distribution, showcasing significant advances in probability and combinatorics over the past four decades.
Nákup knihy
The Surprising Mathematics of Longest Increasing Subsequences, Dan Romik
- Jazyk
- Rok vydania
- 2016
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- Jazyk
- anglicky
- Autori
- Dan Romik
- Vydavateľ
- Cambridge University Press
- Rok vydania
- 2016
- Väzba
- pevná
- Počet strán
- 366
- ISBN13
- 9781107075832
- Hodnotenie
- 5 z 5
- Anotácia
- Exploring the longest increasing subsequence problem reveals its intriguing connections to diverse mathematical fields, including random permutations and matrices. This book offers a playful yet detailed examination of these links, making complex concepts accessible to graduate students in mathematics, computer science, physics, and statistics. Key topics include the Vershik-Kerov-Logan-Shepp theorem, the Baik-Deift-Johansson theorem, and the Tracy-Widom distribution, showcasing significant advances in probability and combinatorics over the past four decades.