The Limit Shape Problem for Ensembles of Young Diagrams

• Main Author: Hora, Akihito (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2016.
• Series: SpringerBriefs in Mathematical Physics, 17
• Subjects: Mathematics.; Group theory.; Topological groups.; Lie groups.; System theory.; Probabilities.; Mathematical physics.; Mathematical Physics.; Topological Groups, Lie Groups.; Group Theory and Generalizations.; Probability Theory and Stochastic Processes.; Complex Systems.; Statistical Physics and Dynamical Systems.

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 fo...