Name: The Limit Shape Problem for Ensembles of Young Diagrams (Springerbriefs in Mathematical Physics) (en Inglés)
Price: 75954.00 ARS
Availability: InStock
Author: Akihito Hora
ISBN: 9784431564850

portada The Limit Shape Problem for Ensembles of Young Diagrams (Springerbriefs in Mathematical Physics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Akihito Hora

Año

2016

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

ISBN13

9784431564850

N° edición

Categorías

Algebra

The Limit Shape Problem for Ensembles of Young Diagrams (Springerbriefs in Mathematical Physics) (en Inglés)

Akihito Hora (Autor) · Springer · Tapa Blanda

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Reseña del libro "The Limit Shape Problem for Ensembles of Young Diagrams (Springerbriefs in Mathematical Physics) (en Inglés)"

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.