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The Limit Shape Problem for Ensembles of Young Diagrams

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Paru le : 2016-11-09

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...
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Description du livre

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.

À propos

Auteur
Akihito Hora
Éditeur
Springer
Collection
SpringerBriefs in Mathematical Physics
Parution
2016-11-09
Pages
73 pages
EAN papier
9784431564850

Auteur(s) du livre


Defaut-Illustration Akihito Hora

Caractéristiques détaillées - droits

EAN PDF
9784431564874
Prix
52,99 €
Nombre pages copiables
0
Nombre pages imprimables
7
Taille du fichier
1505 Ko
Ce livre est accessible aux handicaps informations d'accessibilité
EAN EPUB
9784431564874
Prix
52,99 €
Nombre pages copiables
0
Nombre pages imprimables
7
Taille du fichier
1741 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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