The Limit Shape Problem for Ensembles of Young Diagrams

Nonfiction, Science & Nature, Mathematics, Group Theory, Science, Physics, Mathematical Physics
Cover of the book The Limit Shape Problem for Ensembles of Young Diagrams by Akihito Hora, Springer Japan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Akihito Hora ISBN: 9784431564874
Publisher: Springer Japan Publication: November 9, 2016
Imprint: Springer Language: English
Author: Akihito Hora
ISBN: 9784431564874
Publisher: Springer Japan
Publication: November 9, 2016
Imprint: Springer
Language: English

This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. This problem is regarded as an important origin of recent vital studies on harmonic analysis of huge symmetry structures. As mathematics, an asymptotic theory of representations is developed of the symmetric groups of degree n as n goes to infinity. The framework of rigorous limit theorems (especially the law of large numbers) in probability theory is employed as well as combinatorial analysis of group characters of symmetric groups and applications of Voiculescu's free probability. The central destination here is a clear description of the asymptotic behavior of rescaled profiles of Young diagrams in the Plancherel ensemble from both static and dynamic points of view.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. This problem is regarded as an important origin of recent vital studies on harmonic analysis of huge symmetry structures. As mathematics, an asymptotic theory of representations is developed of the symmetric groups of degree n as n goes to infinity. The framework of rigorous limit theorems (especially the law of large numbers) in probability theory is employed as well as combinatorial analysis of group characters of symmetric groups and applications of Voiculescu's free probability. The central destination here is a clear description of the asymptotic behavior of rescaled profiles of Young diagrams in the Plancherel ensemble from both static and dynamic points of view.

More books from Springer Japan

Cover of the book Congenital Heart Disease by Akihito Hora
Cover of the book Topological Crystallography by Akihito Hora
Cover of the book Inflammation and Metastasis by Akihito Hora
Cover of the book Communities and Livelihood Strategies in Developing Countries by Akihito Hora
Cover of the book Urban Development Challenges, Risks and Resilience in Asian Mega Cities by Akihito Hora
Cover of the book Paroxysmal Nocturnal Hemoglobinuria by Akihito Hora
Cover of the book Ventricular Assist Devices in Advanced-Stage Heart Failure by Akihito Hora
Cover of the book Sports Management and Sports Humanities by Akihito Hora
Cover of the book Gastric Anisakiasis in Japan by Akihito Hora
Cover of the book Emotions of Animals and Humans by Akihito Hora
Cover of the book Rigorous Time Slicing Approach to Feynman Path Integrals by Akihito Hora
Cover of the book Environmental Issues in China Today by Akihito Hora
Cover of the book Medical Applications of Synchrotron Radiation by Akihito Hora
Cover of the book High-Performance and Specialty Fibers by Akihito Hora
Cover of the book Ischemic Blood Flow in the Brain by Akihito Hora
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy