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 Zero-Carbon Energy Kyoto 2009 by Akihito Hora
Cover of the book Coral Reef Science by Akihito Hora
Cover of the book Treatment of Thyroid Tumor by Akihito Hora
Cover of the book Asian Perspectives and Evidence on Health Promotion and Education by Akihito Hora
Cover of the book Modern Methodology and Applications in Spatial-Temporal Modeling by Akihito Hora
Cover of the book AdS/CFT Duality User Guide by Akihito Hora
Cover of the book Atrioventricular Conduction in Congenital Heart Disease by Akihito Hora
Cover of the book The Chimpanzees of Bossou and Nimba by Akihito Hora
Cover of the book Behavioral Decision Theory by Akihito Hora
Cover of the book Autonomous Flying Robots by Akihito Hora
Cover of the book Haptic Interaction by Akihito Hora
Cover of the book Intensity-Modulated Radiation Therapy by Akihito Hora
Cover of the book Challenges for Human Security Engineering by Akihito Hora
Cover of the book Classical Pendulum Feels Quantum Back-Action by Akihito Hora
Cover of the book Signal Transduction in Affective Disorders 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