The Limit Shape Problem for Ensembles of Young Diagrams - Couverture souple

Livre 14 sur 40: SpringerBriefs in Mathematical Physics

Hora, Akihito

 
9784431564850: The Limit Shape Problem for Ensembles of Young Diagrams
Couverture souple
ISBN 10 : 4431564853 ISBN 13 : 9784431564850
Editeur : Springer, 2016

Synopsis

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.

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Éditeur
Springer
Date d'édition
2016
Langue
anglais
ISBN 10 
4431564853
ISBN 13 
9784431564850
Reliure
Broché
Numéro d'édition
1
Nombre de pages
84
Coordonnées du fabricant
non disponible
Personne responsable
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